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Renormalized new solutions for the massless Thirring model

R. Casana
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Abstract

We present a non--perturbative study of the (1+1)--dimensional massless Thirring model by using path integral methods. The regularization ambiguities -coming from the computation of the fermionic determinant- allow to find new solution types for the model. At quantum level the Ward identity for the 1PI 2-point function for the fermionic current separates such solutions in two phases or sectors, the first one has a local gauge symmetry that is implemented at quantum level and the other one without this symmetry. The symmetric phase is a new solution which is unrelated to the previous studies of the model and, in the non--symmetric phase there are solutions that for some values of the ambiguity parameter are related to well-known solutions of the model. We construct the Schwinger--Dyson equations and the Ward identities. We make a detailed analysis of their UV divergence structure and, after, we perform a non--perturbative regularization and renormalization of the model.

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R. Casana. 2005-04-12. Renormalized new solutions for the massless Thirring model. https://doi.org/10.1142/s0217751x0502389x

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