Thirring model

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The Thirring model is a two-dimensional, exactly solvable quantum field theory which describes the self-interactions of a Dirac field. If this spinor field is denoted by ψ, then the Thirring model is given by the Lagrangian density

$\mathcal{L}=\overline{\psi}(i\partial\!\!\!/-m)\psi-\frac{g}{2}\left(\overline{\psi}\gamma^\mu\psi\right)\left(\overline{\psi}\gamma_\mu \psi\right)$

where g is the coupling constant, m is the mass, and $γ μ$ , for $μ = 0,1$ , are the two-dimensional gamma matrices. It was first studied by and named after Walter Thirring.

Sign conventions might vary.

v • d • e Four-fermion interactions

Fermi's interaction • Thirring model • Gross-Neveu model • Nambu-Jona-Lasinio model BCS theory • Hubbard model • Luttinger liquid

v • d • e Quantum field theories

Standard	Chern-Simons model · Chiral model · Kondo model · Lower dimensional quantum field theory · Minimal model · Noncommutative quantum field theory · Non-linear sigma model · Phi to the fourth · Quantum chromodynamics · Quantum electrodynamics · Quantum Yang-Mills theory · Schwinger model · Sine-Gordon · Standard Model · String Theory · Toda field theory · Topological quantum field theory · Wess-Zumino model · Wess-Zumino-Witten model · Yang–Mills · Yang–Mills–Higgs model · Yukawa model

Four-fermion interactions	Thirring model · Gross-Neveu · Nambu-Jona-Lasinio

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Thirring model

From Wikipedia, the free encyclopedia

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