At small lattice spacing, or when using overlap fermions, lattice QCD simulations tend to become stuck in a single topological sector. Physical observables, e.g.\ hadron masses, then differ from their full QCD counterparts by 1/V corrections, where V is the spacetime volume. These corrections can be calculated order by order using the saddle point method. We calculate all corrections proportional to 1/V2 and 1/V3 and test the resulting equations for several models: a quantum mechanical particle on a circle, the Schwinger model and SU(2) Yang-Mills theory.
@article{arxiv.1404.3597,
title = {Studying and removing effects of fixed topology},
author = {Christopher Czaban and Arthur Dromard and Marc Wagner},
journal= {arXiv preprint arXiv:1404.3597},
year = {2014}
}