Strong-Coupling Lattice QCD on Anisotropic Lattices

Abstract

Anisotropic lattice spacings are mandatory to reach the high temperatures where chiral symmetry is restored in the strong coupling limit of lattice QCD. Here, we propose a simple criterion for the nonperturbative renormalisation of the anisotropy coupling in strongly-coupled SU($N$) or U($N$) lattice QCD with massless staggered fermions. We then compute the renormalised anisotropy, and the strong-coupling analogue of Karsch's coefficients (the running anisotropy), for $N=3$. We achieve high precision by combining diagrammatic Monte Carlo and multi-histogram reweighting techniques. We observe that the mean field prediction in the continuous time limit captures the nonperturbative scaling, but receives a large, previously neglected correction on the unit prefactor. Using our nonperturbative prescription in place of the mean field result, we observe large corrections of the same magnitude to the continuous time limit of the static baryon mass, and of the location of the phase boundary associated with chiral symmetry restoration. In particular, the phase boundary, evaluated on different finite lattices, has a dramatically smaller dependence on the lattice time extent. We also estimate, as a byproduct, the pion decay constant and the chiral condensate of massless SU(3) QCD in the strong coupling limit at zero temperature.

11 pages, 9 figures, 3 tables; v2: revtex4 format, references added, minor extensions, matches published version

References in corpus (3)

• First results from 2+1 dynamical quark flavors on an anisotropic lattice: light-hadron spectroscopy and setting the strange-quark mass
• The lattice QCD phase diagram in and away from the strong coupling limit
• Dynamical QCD simulations on anisotropic lattices

Cited by in corpus (8)

• Orientation Dependence of Confinement-Deconfinement Phase Transition in Anisotropic Media
• Holographic Anisotropic Model for Light Quarks with Confinement-Deconfinement Phase Transition
• A new dual representation for staggered lattice QCD
• Constraining the QCD phase diagram at finite temperature and density
• Strong Coupling Lattice QCD in the Continuous Time Limit
• Quantum Gate Sets for Lattice QCD in the strong coupling limit: $N_f=1$
• Baryon bags in strong coupling QCD
• Holographic Schwinger Effect in Anisotropic Media