Random matrix analysis of the QCD sign problem for general topology
arXiv:0812.0324 · doi:10.1088/1126-6708/2009/03/100
Abstract
Motivated by the important role played by the phase of the fermion determinant in the investigation of the sign problem in lattice QCD at nonzero baryon density, we derive an analytical formula for the average phase factor of the fermion determinant for general topology in the microscopic limit of chiral random matrix theory at nonzero chemical potential, for both the quenched and the unquenched case. The formula is a nontrivial extension of the expression for zero topology derived earlier by Splittorff and Verbaarschot. Our analytical predictions are verified by detailed numerical random matrix simulations of the quenched theory.
33 pages, 9 figures; v2: minor corrections, references added, figures with increased statistics, as published in JHEP
References in corpus (10)
- Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
- On the existence of the critical point in finite density lattice QCD
- The QCD Sign Problem for Small Chemical Potential
- Model study of the sign problem in the mean-field approximation
- Matrix Models and QCD with Chemical Potential
- Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential
- Chiral Condensate at Nonzero Chemical Potential in the Microscopic Limit of QCD
- Domain-wall and overlap fermions at nonzero quark chemical potential
- Individual complex Dirac eigenvalue distributions from random matrix theory and comparison to quenched lattice QCD with a quark chemical potential
- Biorthogonal Polynomials for Potentials of two Variables and External Sources at the Denominator