Mass spectroscopy using Borici-Creutz fermion on 2D lattice

TL;DR

This paper explores the use of Borici-Creutz fermions for mass spectroscopy of mesons in lattice models, revealing chiral phase transitions and meson properties in 2D quantum field theories.

Contribution

It demonstrates the application of Borici-Creutz fermions to compute meson spectra and chiral phase transitions in 2D lattice models, a novel approach in lattice fermion formulations.

Findings

Identification of meson masses in Gross-Neveu model

Observation of chiral phase transition at strong coupling

Determination of the lowest meson in 2D QED

Abstract

Minimally doubled fermion proposed by Creutz and Borici is a promising chiral fermion formulation on lattice. In this work, we present excited state mass spectroscopy for the meson bound states in Gross-Neveu model using Borici-Creutz fermion. We also evaluate the effective fermion mass as a function of coupling constant which shows a chiral phase transition at strong coupling. The lowest lying meson in 2-dimensional QED is also obtained using Borici-Creutz fermion.