Anomaly-Induced Inhomogeneous Phase in Quark Matter without the Sign Problem

Brauner, Tomáš (Department of Mathematics and Physics, University of Stavanger, 4036 Stavanger, Norway) ; Filios, Georgios (Department of Mathematics and Physics, University of Stavanger, 4036 Stavanger, Norway) ; Kolešová, Helena (Department of Mathematics and Physics, University of Stavanger, 4036 Stavanger, Norway)

01 July 2019

Abstract: We demonstrate the existence of an anomaly-induced inhomogeneous phase in a class of vectorlike gauge theories without the sign problem, thus disproving the long-standing conjecture that the absence of the sign problem precludes spontaneous breaking of translational invariance. The presence of the phase in the two-color modification of quantum chromodynamics can be tested by an independent nonperturbative evaluation of the neutral pion decay constant as a function of an external magnetic field. Our results provide a benchmark for future lattice studies of inhomogeneous phases in dense quark matter.


Published in: Physical Review Letters 123 (2019)
Published by: APS
DOI: 10.1103/PhysRevLett.123.012001
License: CC-BY-4.0



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