Onset Transition to Cold Nuclear Matter from Lattice QCD with Heavy Quarks

Abstract

Lattice QCD at finite density suffers from a severe sign problem, which has so far prohibited simulations of the cold and dense regime. Here we study the onset of nuclear matter employing a three-dimensional effective theory derived by combined strong coupling and hopping expansions, which is valid for heavy but dynamical quarks and has a mild sign problem only. Its numerical evaluations agree between a standard Metropolis and complex Langevin algorithm, where the latter is free of the sign problem. Our continuum extrapolated data clearly show a first order phase transition building up at ${\mu }_B\approx m_B$ as the temperature approaches zero. An excellent description of the data is achieved by an analytic solution in the strong coupling limit.

arXiv commentFour pages, three figures; uses REVTeX-4. Version accepted by PRL. Title changed upon request by the Editors

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• Complex Langevin and other approaches to the sign problem in quantum many-body physics
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