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

TL;DR

This paper uses lattice simulations to investigate the two-flavor Schwinger model at finite temperature, testing bosonization methods, exploring decay constants, and examining chiral condensate conjectures.

Contribution

It provides new lattice-based insights into the Schwinger model, validating bosonization approaches and comparing multiple theoretical predictions for decay constants and condensates.

Findings

Bosonization method viability at finite temperature.

Agreement of decay constant with multiple theoretical formulas.

Lattice results challenge some conjectures about the chiral condensate.

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.