Implementation of C* boundary conditions in the Hybrid Monte Carlo algorithm

TL;DR

This paper details how to implement C* boundary conditions in lattice QCD simulations using the Hybrid Monte Carlo algorithm, ensuring the validity of the even-odd partition trick for staggered fermions.

Contribution

It provides an explicit method for implementing C* boundary conditions in the HMC algorithm for lattice QCD with staggered fermions, maintaining computational efficiency.

Findings

C* boundary conditions are compatible with the even-odd partition trick.

Explicit implementation of C* boundary conditions in HMC for staggered fermions.

Validation of the implementation in lattice QCD simulations.

Abstract

In the study of QCD dynamics, C* boundary conditions are physically relevant in certain cases. In this paper we study the implementation of these boundary conditions in the lattice formulation of full QCD with staggered fermions. In particular, we show that the usual even-odd partition trick to avoid the redoubling of the fermion matrix is still valid in this case. We give an explicit implementation of these boundary conditions for the Hybrid Monte Carlo algorithm.