Finite Density $QE{D}_{1+1}$ Near Lefschetz Thimbles

Abstract

One strategy for reducing the sign problem in finite-density field theories is to deform the path integral contour from real to complex fields. If the deformed manifold is the appropriate combination of Lefschetz thimbles -- or somewhat close to them -- the sign problem is alleviated. Gauge theories lack a well-defined thimble decomposition, and therefore it is unclear how to carry out a generalized thimble method. In this paper we discuss some of the conceptual issues involved by applying this method to $QE{D}_{1+1}$ at finite density, showing that the generalized thimble method yields correct results with less computational effort than standard methods.

9 Pages, 8 Figures

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