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• W2029103615 abstract "We study the Thirring and chiral-invariant Gross-Neveu (CGN) models using the functional integral method. By introducing an auxiliary vector field we disclose a relation with two-dimensional gauge theories coupled to fermions and then extend a technique based on a chiral change in the functional variables to study purely fermionic models. We obtain the exact Klaiber solution for the massless Thirring model (for spin 12) in a very simple way and we then extend our technique to investigate the CGN model. We show the factorization of a free fermionic part at the level of Green functions on very general grounds. We then impose certain restrictions on the behavior of the fields — which render our treatment exact only in the zero winding number sector, but allow the computation of the U(1) part of the CGN Green functions exactly, showing, in particular, its complete decoupling from the color part and the almost long-range order behaviour in the infrared region. In our approach, the non-triviality of the jacobian arising from the chiral transformation — directly related to the topological density and the axial anomaly — appears to be crucial for the functional integral treatment of these models." @default.
• W2029103615 created "2016-06-24" @default.
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• W2029103615 date "1982-11-01" @default.
• W2029103615 modified "2023-09-27" @default.
• W2029103615 title "Path-integral formulation of chiral invariant fermion models in two dimensions" @default.
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• W2029103615 doi "https://doi.org/10.1016/0550-3213(82)90191-2" @default.
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