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.
- Received 23 December 2014
DOI:https://doi.org/10.1103/PhysRevD.91.034507
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