Artículos de revistas
Renormalized new solutions for the massless Thirring model
Fecha
2005-12-10Registro en:
International Journal of Modern Physics A. Singapore: World Scientific Publ Co Pte Ltd, v. 20, n. 30, p. 7129-7151, 2005.
0217-751X
10.1142/S0217751X0502389X
WOS:000234727600003
Autor
Universidade Estadual Paulista (Unesp)
Institución
Resumen
We present a nonperturbative 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 nonsymmetric 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 nonperturbative regularization and renormalization of the model.