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...

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...

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...

The quantum Heisenberg model, developed by Werner Heisenberg, is a statistical mechanical model used in the study of critical points and phase transitions...

field) Nonlinear Schrödinger equation Nonlinear sigma models Sine–Gordon equation Thirring model Three-wave equation Integrable PDEs in 2 + 1 dimensions...

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...

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...

precession of a gyroscope Walter Thirring (1927–2014), Austrian physicist (son of Hans Thirring) who introduced the Thirring model, describing the self-interactions...

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...

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...

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...

otherwise, it turns into a fermion interacting according to the massive Thirring model. The Lagrangian for the skyrmion, as written for the original chiral...

attempt to analytically continue the dimension, the model reduces to the massive Thirring model (which is completely integrable). It is a 2-dimensional...

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...

Coleman–Mandula theorem Tadpoles Coleman theorem Equivalence of the Thirring model and the quantum sine-Gordon equation Semiclassical analysis of the fate...

physics, the Garnier integrable system, also known as the classical Gaudin model is a classical mechanical system discovered by René Garnier in 1919 by taking...

fields Dirac theory: free spinor field theory Thirring model Nambu–Jona-Lasinio model Gross–Neveu model Theories whose matter content consists only of...

completely solvable non-perturbatively include minimal models of conformal field theory and the Thirring model. In spite of its overwhelming success in particle...

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...

Wilson, K. G., Operator product expansions and anomalous dimensions in Thirring model, ibid., p. 1473–77; Anomalous dimensions and breakdown of scale invariance...

In nuclear physics, the chiral model, introduced by Feza Gürsey in 1960, is a phenomenological model describing effective interactions of mesons in the...

Quantum Liouville Thirring model Toda field theory Principal chiral model Exactly solvable statistical lattice models Ising model in one- and two-dimensions...

Quantum Liouville Thirring model Toda field theory Principal chiral model Exactly solvable statistical lattice models Ising model in one- and two-dimensions...

circle an integer number of times. Quantum sine-Gordon model is equivalent to massive Thirring model. Fundamental excitations are fermions: topological quantum...

Six-vertex model Eight-vertex model XXZ Heisenberg spin-chain Gross–Neveu model Thirring model Wess–Zumino–Witten model Principal chiral model and deformations...

mathematics." C-theorem Conformal bootstrap Knizhnik–Zamolodchikov equations Thirring model W-algebra "Zamolodchikov Shares $3M Breakthrough Prize in Fundamental...

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...

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...

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...

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...