QCD at non-zero density and canonical partition functions with Wilson fermions

Abstract

We present a reduction method for Wilson Dirac fermions with non-zero chemical potential which generates a dimensionally reduced fermion matrix. The size of the reduced fermion matrix is independent of the temporal lattice extent and the dependence on the chemical potential is factored out. As a consequence the reduced matrix allows a simple evaluation of the Wilson fermion determinant for any value of the chemical potential and hence the exact projection to the canonical partition functions.

22 pages, 11 figures, 1 table; references added, figure size reduced

References in corpus (16)

• The QCD phase diagram for small densities from imaginary chemical potential
• The QCD thermal phase transition in the presence of a small chemical potential
• Finite density QCD via imaginary chemical potential
• A new method to study lattice QCD at finite temperature and chemical potential
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• Lattice QCD at finite density via a new canonical approach
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• Wilson Fermion Determinant in Lattice QCD
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• QCD at small baryon number
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• Canonical fermion determinants in lattice QCD - Numerical evaluation and properties
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• Progress on a canonical finite density algorithm

Cited by in corpus (25)

• Finite-density lattice QCD and sign problem: current status and open problems
• Critical point of $N_f=3$ QCD from lattice simulations in the canonical ensemble
• Radius of convergence in lattice QCD at finite ${\mu }_B$ with rooted staggered fermions
• Sea contributions to the electric polarizability of the hadrons
• Lee-Yang zero distribution of high temperature QCD and Roberge-Weiss phase transition
• Sign problem in finite density lattice QCD
• Thirring model at finite density in 0+1 dimensions with stochastic quantization: Crosscheck with an exact solution
• Properties of canonical determinants and a test of fugacity expansion for finite density lattice QCD with Wilson fermions
• Thirring model at finite density in 2+1 dimensions with stochastic quantization
• Spin Polarized Non-Relativistic Fermions in 1+1 Dimensions
• Phase structure of hot dense QCD by a histogram method
• Subsets and the canonical partition functions
• Canonical approach to finite density QCD with multiple precision computation
• Canonical fermion determinants in lattice QCD - Numerical evaluation and properties
• Generalized quark number susceptibilities from fugacity expansion at finite chemical potential for $N_f$ = 2 Wilson fermions
• Distribution of Canonical Determinants in QCD
• Finite size scaling study of $N_{\text{f}}=4$ finite density QCD on the lattice
• Schur complement solver for Quantum Monte-Carlo simulations of strongly interacting fermions
• Simple QED- and QCD-like Models at Finite Density
• Overview of the QCD phase diagram -- Recent progress from the lattice
• Canonical simulations with worldlines: an exploratory study in ${\varphi }_2^4$ lattice field theory
• Canonical approach -- Investigation of finite density QCD phase transition
• Canonical simulations of supersymmetric SU(N) Yang-Mills quantum mechanics
• Sea Contributions to Hadron Electric Polarizabilities through Reweighting
• The Hubbard model in the canonical formulation