Lattice QCD with a chirally twisted mass term

TL;DR

This paper explores lattice QCD with a chirally twisted mass term, highlighting its advantages over traditional methods by avoiding unphysical zero modes and establishing relations to standard formulations.

Contribution

It demonstrates how correlation functions relate between twisted and standard mass terms and discusses conditions for continuum-like relations, offering insights into this alternative regularization.

Findings

Avoids unphysical fermion zero modes

Establishes relations between correlation functions

Discusses benefits and challenges of twisted mass QCD

Abstract

Lattice QCD with Wilson quarks and a chirally twisted mass term represents a promising alternative regularization of QCD, which does not suffer from unphysical fermion zero modes. We show how the correlation functions of the renormalized theory are related to the theory with a standard parameterization of the mass term. In particular we discuss the conditions under which these relations take the same form as obtained from naive continuum considerations. We discuss in detail some applications and comment on potential benefits and problems of this framework.