Restless pions: orbifold boundary conditions and noise suppression in lattice QCD

Abstract

The study of one or more baryons in lattice QCD is severely hindered by the exponential decay in time of the signal-to-noise ratio. The rate at which the signal-to-noise decreases is a function of the the pion mass. More precisely, it depends on the minimum allowed pion energy in the box, which, for periodic boundary conditions, is equal to its mass. We propose a set of boundary conditions, given by a "parity orbifold'' construction, which eliminates the zero momentum pion modes, raising the minimum pion energy without altering the QCD ground state, and thereby improving the signal-to-noise ratio of (multi)-baryon correlation functions at long Euclidean times. We discuss variations of these "restless pions" boundary conditions and focus on their impact on the study of nuclear forces.

arXiv comment15 pages, 4 figures

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Cited by in corpus (6)

• High Statistics Analysis using Anisotropic Clover Lattices: (II) Three-Baryon Systems
• Signal/noise enhancement strategies for stochastically estimated correlation functions
• Time Dependence of Nucleon Correlation Functions in Chiral Perturbation Theory
• Hadronic interactions and nuclear physics
• Topics in Lattice QCD and Effective Field Theory
• Reducing Baryon Noise in Lattice QCD Through Partial Quenching