Quark condensate in one-flavor QCD

TL;DR

This paper calculates the quark condensate in one-flavor QCD using lattice simulations and compares the results with theoretical predictions, confirming the validity of the orientifold large-N_c expansion.

Contribution

It introduces a numerical method to compute the condensate in one-flavor QCD using overlap fermions and eigenvalue distributions, validating theoretical models.

Findings

Condensate values agree with large-N_c expansion estimates

Eigenvalue distributions match Random Matrix Theory predictions

Demonstrates effectiveness of overlap fermions in single-flavor QCD

Abstract

We compute the condensate in QCD with a single quark flavor using numerical simulations with the overlap formulation of lattice fermions. The condensate is extracted by fitting the distribution of low lying eigenvalues of the Dirac operator in sectors of fixed topological charge to the predictions of Random Matrix Theory. Our results are in excellent agreement with estimates from the orientifold large-N_c expansion.