Transfer Matrix for Partially Quenched QCD

TL;DR

This paper constructs and analyzes the transfer matrix for the ghost sector in partially quenched QCD, showing it is non-hermitian but bounded, and confirming exponential decay of correlation functions for free ghost quarks.

Contribution

It introduces a transfer matrix for the ghost sector in partially quenched QCD and proves its boundedness despite being non-hermitian.

Findings

Transfer matrix for ghost sector is non-hermitian but bounded.

Correlation functions decay exponentially for free ghost quarks.

Supports the theoretical consistency of partially quenched QCD models.

Abstract

We construct the transfer matrix for the ghost sector of partially quenched QCD. This transfer matrix is not hermitian, but we show that it is still bounded. We thus expect that all euclidean correlation functions will decay exponentially with distance (up to possible powers), and demonstrate that this is indeed the case for free ghost quarks.