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Solvable 1+1 dimensional quantum field theory
the Thirring model and the quantum sine-Gordon model. The Thirring model is S-dual to the sine-Gordon model. The fundamental fermions of the Thirring model
Thirring_model
Austrian physicist
Walter Eduard Thirring (29 April 1927 – 19 August 2014) was an Austrian physicist after whom the Thirring model in quantum field theory is named. He was
Walter_Thirring
Property of certain dynamical systems
field) Nonlinear Schrödinger equation Nonlinear sigma models Sine–Gordon equation Thirring model Three-wave equation Davey–Stewartson equation Ishimori
Integrable_system
Statistical model in quantum mechanics of magnetic materials
The quantum Heisenberg model, developed by Werner Heisenberg, is a statistical mechanical model used in the study of critical points and phase transitions
Quantum_Heisenberg_model
Nonlinear partial differential equation
discovered by Alexander Zamolodchikov. This model is S-dual to the Thirring model, as discovered by Coleman. This is sometimes known as the Coleman correspondence
Sine-Gordon_equation
Toy model in quantum field theory
attempt to analytically continue the dimension, the model reduces to the massive Thirring model (which is completely integrable). It is a 2 dimensional
Gross–Neveu_model
Dirac equation for self-interacting fermions
common examples are the massive Thirring model and the Soler model. The Thirring model was originally formulated as a model in (1 + 1) space-time dimensions
Nonlinear_Dirac_equation
Type of 3+1 dimensional quantum field theory
is a real number. In spatial dimension 2, the Soler model coincides with the massive Thirring model, due to the relation ( ψ ¯ ψ ) 2 = J μ J μ {\displaystyle
Soler_model
Solvable 1+1 dimensional quantum field theory
The Thirring–Wess model or Vector Meson model is an exactly solvable quantum field theory, describing the interaction of a Dirac field with a vector field
Thirring–Wess_model
Topics referred to by the same term
precession of a gyroscope Walter Thirring (1927–2014), Austrian physicist (son of Hans Thirring) who introduced the Thirring model, describing the self-interactions
Thirring
Effect of general relativity
by the Austrian physicists Josef Lense and Hans Thirring, and is also known as the Lense–Thirring effect. They predicted that the rotation of a massive
Frame-dragging
Mechanism in 1+1 dimensional field theories
massive Thirring model (MTM) and the quantum Sine-Gordon model. Sidney Coleman showed the Thirring model is S-dual to the sine-Gordon model. The fundamental
Bosonization
Model of mesons in the massless quark limit
In nuclear physics, the chiral model, introduced by Feza Gürsey in 1960, is a phenomenological model describing effective interactions of mesons in the
Chiral_model
Mathematical model of waves on a shallow water surface
is a partial differential equation (PDE) which serves as a mathematical model of waves on shallow water surfaces. It is particularly notable as the prototypical
Korteweg–De_Vries_equation
Point interactions with four fermions
Gross–Neveu model. This is a four-fermi theory of Dirac fermions without chiral symmetry and as such, it may or may not be massive. The Thirring model. This
Four-fermion_interactions
Type of topological solutions in non-linear sigma models
otherwise, it turns into a fermion interacting according to the massive Thirring model. The Lagrangian for the skyrmion, as written for the original chiral
Skyrmion
Method for solving certain nonlinear partial differential equations
Liouville Thirring model Toda field theory Principal chiral model Master theories Four-dimensional Chern–Simons theory (Lagrangian) Affine Gaudin models (Hamiltonian)
Inverse_scattering_transform
American physicist (1937–2007)
Coleman–Mandula theorem Tadpoles Coleman theorem Equivalence of the Thirring model and the quantum sine-Gordon equation Semiclassical analysis of the fate
Sidney_Coleman
Relativistic quantum mechanical wave equation
allows for the fermions to interact with themselves, such as in the Thirring model. Interactions between fermions can also be introduced through electromagnetic
Dirac_equation
No-go theorem pertaining the triviality of space-time and internal symmetries
such as in the massive Thirring model which can admit an infinite tower of conserved charges of ever higher tensorial rank. Models with nonlocal symmetries
Coleman–Mandula_theorem
Theoretical framework in physics
completely solvable non-perturbatively include minimal models of conformal field theory and the Thirring model. In spite of its overwhelming success in particle
Quantum_field_theory
American theoretical physicist (1936–2013)
Wilson, K. G., Operator product expansions and anomalous dimensions in Thirring model, ibid., p. 1473–77; Anomalous dimensions and breakdown of scale invariance
Kenneth_G._Wilson
Gauge theory providing unifying formalism for integrable systems
Six-vertex model Eight-vertex model XXZ Heisenberg spin-chain Gross–Neveu model Thirring model Wess–Zumino–Witten model Principal chiral model and deformations
Four-dimensional Chern–Simons theory
Four-dimensional_Chern–Simons_theory
Theorem of dynamical systems
Liouville Thirring model Toda field theory Principal chiral model Master theories Four-dimensional Chern–Simons theory (Lagrangian) Affine Gaudin models (Hamiltonian)
Liouville–Arnold_theorem
models as well as classes of integrable models in physics. In classical and quantum field theory: free boson free fermion sine-Gordon model Thirring model
List_of_integrable_models
Type of integrable system
spectral curves. (The Garnier system is the classical limit of the Gaudin model. In turn, the Schlesinger equations are the classical limit of the Knizhnik–Zamolodchikov
Hitchin_system
Physical quantities with discrete values
circle an integer number of times. Quantum sine-Gordon model is equivalent to massive Thirring model. Fundamental excitations are fermions: topological quantum
Topological_quantum_number
Australian mathematical physicist
publication. Hurst's work with Thirring (Thirring model) found the simplest non-linear field and is still used as a test model for perturbation theory.[citation
Charles_Angas_Hurst
Integrable classical system
physics, the Garnier integrable system, also known as the classical Gaudin model is a classical mechanical system discovered by René Garnier in 1917, and
Garnier_integrable_system
Problem in statistical physics
conceptual proof was found later by Elliott Lieb and Walter Thirring in 1975 using the Lieb–Thirring inequality. The stability of matter is partly due to the
Stability_of_matter
Russian physicist and mathematician
interactions. In 1979, Korepin presented a solution of the massive Thirring model in one space and one time dimension using the Bethe ansatz. In this
Vladimir_Korepin
Method used to solve integrable many-body quantum systems
closely related algebraic Bethe ansatz, is a method for solving integrable models in 1+1 dimensions, introduced by Leon Takhtajan and L. D. Faddeev in 1979
Quantum inverse scattering method
Quantum_inverse_scattering_method
Topics referred to by the same term
refer to: Microsoft Test Manager, a diagnostic software tool Massive Thirring Model, in quantum field theory Medication Therapy Management, pharmaceutical
MTM
Russian physicist
mathematics." C-theorem Conformal bootstrap Knizhnik–Zamolodchikov equations Thirring model W-algebra "Zamolodchikov Shares $3M Breakthrough Prize in Fundamental
Alexander_Zamolodchikov
notation Kai Siegbahn Photoemission spectroscopy Hans Thirring Walter Thirring Thirring model J. J. Thomson Discovery of the electron George Paget Thomson
List of second-generation physicists
List_of_second-generation_physicists
South African theoretical physicist (1928-2016)
show that the two dimensional quantum Sine-Gordon model is equivalently described by a Thirring model whose fermions are the kinks. He also demonstrated
Stanley_Mandelstam
Indian particle physicist (1942-2026)
Roy's Sum Rule. Further, he proposed a solution for U(n)-symmetric Thirring model which has been detailed in two of his articles published in 1975. Later
Probir_Roy
fields Dirac theory: free spinor field theory Thirring model Nambu–Jona-Lasinio model Gross–Neveu model Theories whose matter content consists only of
List of quantum field theories
List_of_quantum_field_theories
List of scientists who are Christians
Thirring (1927–2014): Austrian physicist after whom the Thirring model in quantum field theory is named. He is the son of the physicist Hans Thirring
List of Christians in science and technology
List_of_Christians_in_science_and_technology
Equations in physical cosmology
Friedmann in 1924. The physical models built on the Friedmann equations are called FRW or FLRW models and form the Standard Model of modern cosmology, although
Friedmann_equations
American mathematical physicist
Entropy Ice-type model Lieb conjecture on the Wehrl entropy Lieb–Liniger Model Lieb–Oxford inequality Lieb–Robinson bounds Lieb–Thirring inequality Lieb-Wu
Elliott_H._Lieb
Austrian theoretical physicist (1934–2007)
In 1957 he received his Ph.D. in Vienna, where he was a student of Hans Thirring. His Ph.D. examiner was acclaimed quantum mechanics physicist Erwin Schrödinger
Julius_Wess
Cosmological model
The Milne model was a special-relativistic cosmological model of the universe proposed by Edward Arthur Milne in 1935. It is mathematically equivalent
Milne_model
Cambridge Catalogue of Radio Sources Third law of thermodynamics Thirring model Thirring–Wess model Thixotropy Thomas-François Dalibard Thomas Allibone Thomas
Index_of_physics_articles_(T)
Metric based on the exact solution of Einstein's field equations of general relativity
have been developed into the Standard Model of modern cosmology and further developed into the Lambda-CDM model. The metric is a consequence of assuming
Friedmann–Lemaître–Robertson–Walker metric
Friedmann–Lemaître–Robertson–Walker_metric
Ukrainian scientist (1925–1996)
Ukraine (1988). Honored Scientist of the Ukrainian SSR (1982). Walter Thirring Prize 1997. Participant of World War II. Military and state awards. Founder
Dmitry_Volkov_(physicist)
Theory of gravitation as curved spacetime
(2004), "A confirmation of the general relativistic prediction of the Lense–Thirring effect", Nature, 431 (7011): 958–960, Bibcode:2004Natur.431..958C, doi:10
General_relativity
American physicist and author (born 1939)
International Council member. [3] Although Capra received his PhD under Walter Thirring, he identifies physicist Geoffrey Chew as his primary scientific mentor
Fritjof_Capra
scientific target of the LARES mission is the measurement of the Lense–Thirring effect with an accuracy of about 1%, according to principal investigator
LARES_(satellite)
Compact astronomical body
general relativity for an idealised imploding star, in a model later called the Oppenheimer–Snyder model, then described the results from far outside the star
Black_hole
Trace radiation from the early universe
Bang theory for the origin of the universe. In the Big Bang cosmological models, during the earliest periods, the universe was filled with an opaque fog
Cosmic_microwave_background
Extension of quantum field theory to curved spacetime
holes. Ordinary quantum field theories, which form the basis of Standard Model, are defined in flat Minkowski space, which is an excellent approximation
Quantum field theory in curved spacetime
Quantum_field_theory_in_curved_spacetime
Quantum mechanics principle
Elliott H. Lieb and Walter Thirring in 1975. They provided a lower bound on the quantum energy in terms of the Thomas-Fermi model, which is stable due to
Pauli_exclusion_principle
Unified field theory
the Standard Model, SU(3) × SU(2) × U(1). However, an attempt to convert this interesting geometrical construction into a bona-fide model of reality flounders
Kaluza–Klein_theory
Mathematical theory of the geometry of space and time
frame-dragging effect (which is due to gravitomagnetism, and is also known as Lense–Thirring precession) was difficult to measure because of unexpected charge effects
Curved_spacetime
Professor of Physics (born 1937)
Neuberger: Bosonization of the SU(N) Thirring Models, Nucl. Phys. B108, 119 (1976). D. Horn and J. Mandula: Model of Mesons with Constituent Gluons, Phys
David Horn (Israeli physicist)
David_Horn_(Israeli_physicist)
Computational quantum mechanical modelling method to investigate electronic structure
effective potential method Hybrid functional Lieb-Oxford inequality Lieb-Thirring inequality Machine-learned interatomic potential Interatomic potential
Density_functional_theory
English mathematician, mathematical physicist (born 1931)
rings) redshift Shapiro delay frame-dragging / geodetic effect (Lense–Thirring precession) pulsar timing arrays Advanced theories Brans–Dicke theory Kaluza–Klein
Roger_Penrose
Austrian mathematician and theoretical physicist (1844–1906)
18962930107. The Boltzmann Equation: Theory and Applications, E. G. D. Cohen, W. Thirring, ed., Springer Science & Business Media, 2012 Boltzmann, Ludwig (1 January
Ludwig_Boltzmann
Device to demonstrate Earth's rotation
view aligns with the concept of geodesics in curved spacetime. The Lense-Thirring effect, a prediction of general relativity, implies that massive rotating
Foucault_pendulum
Charles Thévenin Thirring effect – see Lense–Thirring effect, above Thomas precession – Llewellyn Thomas Thomas–Fermi approximation, model – Llewellyn Hilleth
Scientific phenomena named after people
Scientific_phenomena_named_after_people
late 1970s, to quantum field models of strong nuclear force and weak nuclear force, united in the modern Standard Model of particle physics. Efforts to
History of quantum field theory
History_of_quantum_field_theory
Field-equations in general relativity
symmetry. Special classes of exact solutions are most often studied since they model many gravitational phenomena, such as rotating black holes and the expanding
Einstein_field_equations
German-born theoretical physicist (1879–1955)
following year laid out the implications of general relativity for the modeling of the structure and evolution of the universe as a whole. It introduced
Albert_Einstein
(Teukolsky equation, numerical relativity, problem book), Hans Thirring (Lense–Thirring precession), Kip Thorne (relativistic multipoles, relativistic
List of contributors to general relativity
List_of_contributors_to_general_relativity
Dutch physicist (1853–1928)
electromagnetic field. He was also responsible for the Lorentz oscillator model, a classical model used to describe the anomalous dispersion observed in dielectric
Hendrik_Lorentz
Region outside of a rotating black hole's event horizon
with distance from the event horizon. This process is known as the Lense–Thirring effect or frame-dragging. Because of this dragging effect, an object within
Ergosphere
Analogies between Maxwell's and Einstein's field equations
a rigorous proof that validated Penrose's mechanism. Her model showed how the Lense–Thirring effect could account for the observed high energies and luminosities
Gravitoelectromagnetism
Thought experiment in special relativity
stay-at-home clock even from the traveler's own perspective. Alternatively, Hans Thirring (1921) used the Lorentz transformation to show that relativity of simultaneity
Twin_paradox
British theoretical physicist and mathematician (1923–2020)
medical isotopes. In 1966, independently of Elliott H. Lieb and Walter Thirring, Dyson and Andrew Lenard published a paper proving that the Pauli exclusion
Freeman_Dyson
Mathematical logician and philosopher
to be carrying a secret letter to Einstein from Viennese physicist Hans Thirring to alert President Franklin D. Roosevelt of the possibility that Hitler
Kurt_Gödel
Region in spacetime from which nothing can escape
of cosmological models without an event horizon are universes dominated by matter or by radiation. An example of a cosmological model with an event horizon
Event_horizon
Two interrelated physics theories by Albert Einstein
regularities in nature. Unlike constructive theories, which attempt to build models of phenomena from assumed underlying processes, principle-theories, such
Theory_of_relativity
Periodic change in the direction of a rotation axis
Schwarzschild metric of curved space near a large non-rotating mass. Lense–Thirring precession, a general-relativistic correction accounting for the frame
Precession
Exact solution for the Einstein field equations
metric, a rotating body should exhibit frame-dragging (also known as Lense–Thirring precession), a distinctive prediction of general relativity. The first
Kerr_metric
Indian theoretical physicist (1938–2025)
University at Vienna as a postdoctoral fellow under Professor Walter Thirring, subsequently at the Enrico Fermi Institute likewise as a postdoctoral
A._P._Balachandran
Speed of electromagnetic waves in vacuum
such as quantum electrodynamics, quantum chromodynamics, the Standard Model of particle physics, and general relativity. As such, the parameter c is
Speed_of_light
Lowest possible energy of a quantum system or field
1016/0375-9601(70)90022-8. O'Connell, R. F.; Rasband, S. N. (1971). "Lense-Thirring Type Gravitational Forces Between Disks and Cylinders". Nature. 232 (35):
Zero-point_energy
Quantity used to describe the mathematical state of a dynamical system
). Mineola, New York: Dover Publications, Inc. ISBN 978-0-486-78044-3. Thirring, Walter E. (2002). Quantum mathematical physics: atoms, molecules and large
State_variable
Belgian scientist and Catholic priest (1894–1966)
opponent of such "Big Bang" theories, advocating instead a steady-state model of an eternal Universe. In 1948, theoreticians Ralph Alpher, Robert Herman
Georges_Lemaître
Physics concept expressed as E = mc²
after the Big Bang. Many extensions of the standard model contain magnetic monopoles, and in some models of grand unification, these monopoles catalyze proton
Mass–energy_equivalence
Mathematical model combining space and time
physics, spacetime, also called the space-time continuum, is a mathematical model that fuses the three dimensions of space and the one dimension of time into
Spacetime
Condition in which spacetime itself breaks down
or nonsingular, black holes. For example, the fuzzball model, based on string theory, models black holes using quantum microstates with no singularity
Gravitational_singularity
Leidenfrost effect (physical phenomena) Lenard effect (physics) Lense–Thirring effect (effects of gravitation) (tests of general relativity) Leveling
List_of_effects
Type of observed X-ray astronomy pattern
strongest or when rotation is fastest (when a phenomenon called the Lense–Thirring effect comes into play). However, the various explanations of QPOs remain
Quasi-periodic_oscillation
Hypothetical FTL transportation by warping space
subway. Chris Van den Broeck constructed a modification of Alcubierre's model that requires much less exotic matter but places the ship in a curved spacetime
Alcubierre_drive
Model for quantum noise in quantum systems
important mathematical tool used in the proof of this bound is the Lieb–Thirring inequality, which provides a bound for p-norm of a product of positive
Quantum_depolarizing_channel
Measured time difference as explained by relativity theory
Relativistic time dilation effects for the Solar System and the Earth can be modeled very precisely by the Schwarzschild solution to the Einstein field equations
Time_dilation
Austrian physicist (1887–1961)
arXiv:2211.17086. doi:10.12743/quanta.v6i1.68. Lakhtakia, Akhlesh (1996). Models and Modelers of Hydrogen: Thales, Thomson, Rutherford, Bohr, Sommerfeld, Goudsmit
Erwin_Schrödinger
Fifteen problems in mathematical physic
2000 (with original categorizations), are: Almost Mathieu operator Lieb–Thirring inequality "Simon's Problems". MathWorld. Retrieved 2018-06-13. Simon,
Simon_problems
Deviation in spacecraft deceleration
Bibcode:2008AIPC..977..254S. doi:10.1063/1.2902789. Iorio, L. (2008). The Lense–Thirring Effect and the Pioneer Anomaly: Solar System Tests. The Eleventh Marcel
Pioneer_anomaly
British astrophysicist (1882–1944)
Schwarzschild's earlier work on radiation pressure in Emden polytropic models. These models treated a star as a sphere of gas held up against gravity by internal
Arthur_Eddington
Physics principle
next, depending on zero or more free parameters. A simple example of a model is Galileo's law of falling bodies. Measurements made by a single observer
Principle_of_relativity
Orbital gravitational observatory
I.; Lucchesi, D.; Vespe, F.; Chieppa, F. (1997). "Detection of Lense–Thirring Effect Due to Earth's Spin". arXiv:gr-qc/9704065. "Einstein's warp effect
Gravity_Probe_B
general relativity and special relativity together. Tests of the Lense–Thirring precession, consisting of small secular precessions of the orbit of a test
Tests_of_general_relativity
Israeli-American theoretical physicist (born 1962)
2011.20078.x. S2CID 118524459. Stone, N; Loeb, A (2012). "Observing Lense-Thirring Precession in Tidal Disruption Flares". Physical Review Letters. 108 (6)
Avi_Loeb
Mathematical description of spacetime used in relativity
combines inertial space and time manifolds into a four-dimensional model. The model helps show how a spacetime interval between any two events is independent
Minkowski_spacetime
Dutch mathematician, physicist, and astronomer (1872–1934)
astronomer. He is known for the de Sitter universe, which is a cosmological model that was named after him. Born in Sneek, Netherlands, de Sitter studied
Willem_de_Sitter
Description of gravity using discrete values
that these theories make on how the universe works. General relativity models gravity as curvature of spacetime: in the slogan of John Archibald Wheeler
Quantum_gravity
Branch of applied mathematics
Methods of Theoretical Physics, Vol 1–2, McGraw Hill, ISBN 0-07-043316-X Thirring, Walter E. (1978–1983), A Course in Mathematical Physics, Vol 1–4, Springer-Verlag
Mathematical_physics
THIRRING MODEL
THIRRING MODEL
Girl/Female
Hindu
Always thinking
Boy/Male
Hindu, Indian
Deep Thinking
Girl/Female
Biblical
Fleeing, thinking.
Girl/Female
Tamil
Sindhana | ஸிஂதநாÂ
Always thinking
Sindhana | ஸிஂதநாÂ
Girl/Female
Arabic, Muslim
Chirping
Boy/Male
Indian, Kannada
Thinking
Girl/Female
Muslim
Chirping
Girl/Female
Bengali, Gujarati, Hebrew, Hindu, Indian, Kannada, Malayalam, Marathi, Tamil, Telugu
Thought; Thinking
Boy/Male
Biblical
Thinking.
Boy/Male
Hindu, Indian
Positive Thinking
Girl/Female
Indian, Punjabi, Sikh
By Thinking
Surname or Lastname
English, Scottish, Dutch, and German
English, Scottish, Dutch, and German : metonymic occupational name for a herring fisher or for a seller of the fish, Middle English hering, Dutch haring, Middle High German hærinc. In some cases it may have been a nickname in the sense of a trifle, something of little value, a meaning which is found in medieval phrases and proverbial expressions such as ‘to like neither herring nor barrel’, i.e. not to like something at all.German : habitational name from Herringen in Westphalia.Dutch : from a personal name, a derivative of a Germanic compound name with the first element hari, heri ‘army’.Jewish (Ashkenazic) : variant spelling of Hering.
Girl/Female
Arabic, Hindu, Indian, Muslim
Thought; Thinking
Boy/Male
Bengali, Hindu, Indian
Better Thinking
Boy/Male
Indian, Kashmiri
Thought; Thinking
Boy/Male
Indian
Thinking
Boy/Male
Indian, Sanskrit
Growing; Thriving
Biblical
thinking
Girl/Female
Indian
Chirping
Girl/Female
Indian, Punjabi, Sikh
High Thinking
THIRRING MODEL
THIRRING MODEL
Girl/Female
Japanese
Pine tree child.
Girl/Female
Muslim/Islamic
Lioness
Boy/Male
Tamil
Never ending
Boy/Male
German
Power of an Eagle
Girl/Female
Tamil
Jassica | ஜஸà¯à®¸à¯€à®šà®¾
God sees or wealthy
Biblical
sign, or coming of God;God is with me;God is, God is with me;
Boy/Male
Afghan, Arabic, Muslim, Pashtun
Gardener
Female
Hawaiian
Hawaiian form of Greek Melissa, MELIKA means "honey-sap."Â
Boy/Male
Indian
Boy/Male
Tamil
Vijayanth | விஜயநாத
Victor, Name of Indra
THIRRING MODEL
THIRRING MODEL
THIRRING MODEL
THIRRING MODEL
THIRRING MODEL
n.
An active, stirring person.
n.
One of various species of fishes of the genus Clupea, and allied genera, esp. the common round or English herring (C. harengus) of the North Atlantic. Herrings move in vast schools, coming in spring to the shores of Europe and America, where they are salted and smoked in great quantities.
n.
The act of thinking; mode of thinking; imagination; cogitation; judgment.
n.
A tiring-room.
n.
A herring preserved in brine; a pickled herring.
a.
Herring-shaped.
n.
Alt. of Hirling
n.
Sense; power of thinking.
adv.
In a thriving manner.
v.
Brisk; stirring; jocund.
a.
Faring well; prosperous; thriving.
n.
A young herring.
p. pr. & vb. n.
of Whir
p. pr. & vb. n.
of Thirl
n.
A young herring.
a.
Lucky; fortunate; thriving; plump.
a.
Thieving.
a.
Having the faculty of thought; cogitative; capable of a regular train of ideas; as, man is a thinking being.
n.
The act of twirling; a rapid circular motion; a whirl or whirling; quick rotation.
n.
A young herring.