Applying chiral perturbation to twisted mass Lattice QCD

TL;DR

This paper uses chiral perturbation theory to analyze twisted mass Lattice QCD, accounting for discretization effects and calculating how pion properties depend on quark mass, twisting angle, and lattice spacing.

Contribution

It provides a detailed analytical study of twisted mass LQCD including discretization effects up to O(a^2) at NLO, with explicit calculations of vacuum structure and pion observables.

Findings

Pion masses and decay constants depend on quark mass, twisting angle, and lattice spacing.

Certain quantities are automatically improved at maximal twisting.

Explicit formulas for discretization effects are derived.

Abstract

We have explored twisted mass LQCD (tmLQCD) analytically using chiral perturbation theory, including discretization effects up to O(a^2), and working at next-to-leading (NLO) order in the chiral expansion. In particular we have studied the vacuum structure, and calculated the dependence of pion masses and decay constants on the quark mass, twisting angle and lattice spacing. We give explicit examples for quantities that both are and are not automatically improved at maximal twisting.