New actions for minimally doubled fermions and their counterterms

TL;DR

This paper explores new minimally doubled fermion actions that maintain chiral symmetry in quark simulations, analyzing their counterterms to improve renormalization procedures.

Contribution

It introduces more general minimally doubled actions and studies their counterterms, expanding the framework for chiral symmetric fermion simulations.

Findings

New classes of minimally doubled actions constructed

Counterterm properties analyzed for these actions

Potential for improved renormalization techniques

Abstract

Minimally doubled fermions provide a cheap and convenient way of simulating quarks which preserve chiral symmetry. It has been established that two actions of this kind (known as Borici-Creutz and Karsten-Wilczek) require the tuning of three counterterms in order to be properly renormalized. Here we construct some more general minimally doubled actions and investigate the properties of their counterterms.