New insight in the 2-flavor Schwinger model based on lattice simulations

Abstract

We consider the Schwinger model with two degenerate, light fermion flavors by means of lattice simulations. At finite temperature, we probe the viability of a bosonization method by Hosotani et al. Next we explore an analogue to the pion decay constant, which agrees for independent formulations based on the Gell-Mann--Oakes--Renner relation, the 2-dimensional Witten--Veneziano formula and the $\delta$-regime. Finally we confront several conjectures about the chiral condensate with lattice results.

Comments: 5 pages, LaTex, 4 figures, 1 table, presented at the "XXXV Reunión Anual de la División de Partículas y Campos", of the "Socieded Mexicana de Física", accepted for publication in Suplemento de la Revista Mexicana de Física