Physical Observables from Lattice QCD at Fixed Topology

Details Physical Observables from Lattice QCD at Fixed Topology Physical Observables from Lattice QCD at Fixed Topology

2001-10-15

arxiv.org/abs/hep-lat/0110121v1

Nucl.Phys.Proc.Suppl.106:581-583,2002

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice 2001 (Confinement) 3 pages

Scientific paper

10.1016/S0920-5632(01)01784-4

Because present Monte Carol algorithms for lattice QCD may become trapped in a given topological charge sector when one approaches the continuum limit, it is important to understand the effect of calculating at fixed topology. In this work, we show that although the restriction to a fixed topological sector becomes irrelevant in the infinite volume limit, it gives rise to characteristic finite size effects due to contributions from all $\theta$-vacua. We calculate these effects and show how to extract physical results from numerical data obtained at fixed topology.

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