Triage of the Sign Problem
arXiv:0710.0704
Abstract
We discuss the sign problem in QCD at nonzero chemical potential and its relation with chiral symmetry breaking and the spectrum of the Dirac operator using the framework of chiral random matrix theory. We show that the Banks-Casher formula is not valid for theories with a sign problem and has to be replaced by an alternative mechanism that is worked out in detail for QCD in one dimension at nonzero chemical potential.
Invited talk at the workshop "Random Matrix Theory: From fundamental physics to applications", Krakow, 2007
References in corpus (28)
- Phases of Dense Quarks at Large N_c
- Lattice determination of the critical point of QCD at finite T and μ
- On the Phase Diagram of QCD
- The QCD thermal phase transition in the presence of a small chemical potential
- Superconductivity by long-range color magnetic interaction in high-density quark matter
- The Condensed Matter Physics of QCD
- The transition temperature in QCD
- Universality of random matrices in the microscopic limit and the Dirac operator spectrum
- Lattice QCD at finite density via a new canonical approach
- Unquenched QCD Dirac Operator Spectra at Nonzero Baryon Chemical Potential
- Phase structures of strong coupling lattice QCD with finite baryon and isospin density
- QCD Critical Point and Complex Chemical Potential Singularities
- Universal scaling of the valence quark mass dependence of the chiral condensate
- Random matrix triality at nonzero chemical potential
- Chiral Disorder in QCD
- Holographic QCD with Isospin Chemical Potential
- A New Method for Determining on the Lattice
- Dense Hadronic Matter in Holographic QCD
- QCD Dirac operator at nonzero chemical potential: lattice data and matrix model
- Yang-Lee zeros of a random matrix model for QCD at finite density
- The Approach to the Thermodynamic Limit in Lattice QCD at μ\neq0
- Macroscopic Universality : Why QCD in Matter is Subtle?
- QCD inequalities for the nucleon mass and the free energy of baryonic matter
- QCD in One Dimension at Nonzero Chemical Potential
- QCD phase diagram: an overview
- Lattice QCD at Finite Density
- A Novel Approach to Non-Hermitian Random Matrix Models
- A Four-Fermi Model in 0+1 Dimensions in Matter