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Fermions at Finite Density in (2+1)d with Sign-Optimized Manifolds

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arxiv 1808.09799 v2 pith:VXGBQT7M submitted 2018-08-29 hep-lat cond-mat.stat-mechcond-mat.str-el

Andrei Alexandru , Paulo F. Bedaque , Henry Lamm , Scott Lawrence , Neill C. Warrington This is my paper
classification hep-latcond-mat.stat-mechcond-mat.str-el
keywords densityfinitemanifoldssignabruptlyaveragebypasscalculations
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abstract

We present Monte Carlo calculations of the thermodynamics of the (2+1) dimensional Thirring model at finite density. We bypass the sign problem by deforming the domain of integration of the path integral into complex space in such a way as to maximize the average sign within a parameterized family of manifolds. We present results for lattice sizes up to $10^3$ and we find that at high densities and/or temperatures the chiral condensate is abruptly reduced.

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