Simulating low dimensional QCD with Lefschetz thimbles
arXiv:1701.08959
Abstract
Non-perturbative lattice QCD calculations at non vanishing baryon number density are hampered by the QCD sign problem. The path integral, that in lattice QCD is calculated numerically, becomes highly oscillating. One possible solution is the Lefschetz thimble approach. It requires a deformation of the original integration domain into a manifold embedded in complex space. For properly chosen integration manifolds ("thimbles") the sign problem is drastically alleviated. For some bosonic and fermionic models this approach has been shown to work. Here we apply the thimble disretization to (0+1)-dimensional QCD with standard staggerd quarks and disscuss issues that may arrise in higher dimensions.
arXiv comment7 pages, 8 figures, talk presented at Lattice 2016 (Nonzero Temperature and Density), Southampton, UK, July 24-30, 2016
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