# Borici-Creutz fermions on 2-dim lattice

## TL;DR

This paper investigates Borici-Creutz fermions on a 2D lattice, performing meson spectroscopy and analyzing chiral phase transitions, demonstrating the formulation's effectiveness in modeling low-dimensional quantum field theories.

## Contribution

It provides the first excited state mass spectrum for mesons using Borici-Creutz fermions and explores chiral phase transitions in the Gross-Neveu model.

## Key findings

- Excited state meson masses are computed successfully.
- Chiral phase transition observed at strong coupling.
- Lowest lying meson in 2D QED is obtained.

## 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.