Dirac spectrum in complex Langevin simulations of QCD

K. Splittorff
Phys. Rev. D 91, 034507 – Published 26 February 2015

Abstract

We show that the spectrum of the Dirac operator in complex Langevin simulations of QCD at nonzero chemical potential must behave in a way which is radically different from the one in simulations with ordinary noncomplexified gauge fields: at low temperatures the small eigenvalues of the Dirac operator must be inside the quark mass for chemical potentials as large as a third of the nucleon mass. In particular, in the chiral limit the Dirac eigenvalues of complex Langevin simulations must accumulate at the origin.

  • Figure
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  • Received 23 December 2014

DOI:https://doi.org/10.1103/PhysRevD.91.034507

© 2015 American Physical Society

Authors & Affiliations

K. Splittorff

  • Discovery Center, The Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark

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Vol. 91, Iss. 3 — 1 February 2015

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