Pathologies of Quenched Lattice QCD at non--zero Density and its Effective Potential

Abstract

We simulate lattice QCD at non--zero baryon density and zero temperature in the quenched approximation, both in the scaling region and in the infinite coupling limit. We investigate the nature of the forbidden region -- the range of chemical potential where the simulations grow prohibitively expensive, and the results, when available, are puzzling if not unphysical. At weak coupling we have explored the sensitivity of these pathologies to the lattice size, and found that using a large lattice ($64\times 16^3$) does not remove them. The effective potential sheds considerable light on the problems in the simulations, and gives a clear interpretation of the forbidden region. The strong coupling simulations were particularly illuminating on this point.

49 pages, uu-encoded expanding to postscript;also available at ftp://hlrz36.hlrz.kfa-juelich.de/pub/mpl/hlrz72_95.ps

References in corpus (1)

• Quenched QCD at finite density

Cited by in corpus (19)

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• The Phase Diagram of Four Flavor SU(2) Lattice Gauge Theory at Nonzero Chemical Potential and Temperature
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• A dynamical, confining model and hot quark stars
• Deconfinement at finite chemical potential
• The Quantum Aspects of Relativistic Fermion Systems with Particle Condensation
• Lattice Simulation of Diquark Condensation in Dense Matter
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• Multichannel Approach to Clustering Matter
• Random Matrices and the Convergence of Partition Function Zeros in Finite Density QCD
• Applying constrained simulations for low temperature lattice QCD at finite baryon chemical potential
• Phase Diagram of the Dirac Spectrum at Nonzero Chemical Potential
• Large $N_c$ QCD at non-zero chemical potential
• Rigorous arguments against current wisdoms in finite density QCD
• Lattice QCD at finite isospin density