Thirring model

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In quantum field theory, the Thirring model is a model of a self-interacting Dirac field. In particular, if ψ is a Dirac spinor field, the Lagrangian density is given by

\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 and γ is the gamma matrix and m is the mass. It is first studied by and named after Walter Thirring.

Sign conventions might vary.

Four-fermion interactions
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