The Dirac spectrum in Complex Langevin Simulations of QCD
arXiv:1412.0502 · doi:10.1103/PhysRevD.91.034507
Abstract
We show that the spectrum of the Dirac operator in complex Langevin simulations of QCD at non-zero chemical potential must behave in a way which is radically different from the one in simulations with ordinary non-complexified 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.
8 pages, 2 figures
References in corpus (12)
- Can stochastic quantization evade the sign problem? -- the relativistic Bose gas at finite chemical potential
- Phase of the Fermion Determinant at Nonzero Chemical Potential
- Some remarks on Lefschetz thimbles and complex Langevin dynamics
- The QCD Sign Problem for Small Chemical Potential
- Simulating QCD at nonzero baryon density to all orders in the hopping parameter expansion
- Comparison of complex Langevin and mean field methods applied to effective Polyakov line models
- Chiral Condensate at Nonzero Chemical Potential in the Microscopic Limit of QCD
- QCD in One Dimension at Nonzero Chemical Potential
- Phase Diagram of the Dirac Spectrum at Nonzero Chemical Potential
- Subsets and the canonical partition functions
- Stressed Cooper pairing in QCD at high isospin density: effective Lagrangian and random matrix theory
- Dirac spectrum of one-flavor QCD at θ=0 and continuity of the chiral condensate