Vacuum Expectation Values of Twisted Mass Fermion Operators

TL;DR

This study uses noise methods on a quenched lattice to analyze vacuum expectation values and correlations among Wilson and twisted mass operators near maximal twist conditions.

Contribution

It introduces a detailed investigation of vacuum expectation values and correlations of twisted mass fermion operators using noise methods on a quenched lattice.

Findings

Identifies vacuum expectation values near maximal twist lines.

Analyzes correlations among scalar and pseudoscalar operators.

Provides insights into parity mixing and PCAC quark mass conditions.

Abstract

Using noise methods on a quenched $20^3 \times 32$ lattice at $\beta=6.0$, we have investigated vacuum expectation values and relative linear correlations among the various Wilson and twisted mass scalar and pseudoscalar disconnected loop operators. We show results near the maximal twist lines in $\kappa$, $\mu$ parameter space, either defined as the absence of parity mixing or the vanishing of the PCAC quark mass.