Large N lattice QCD and its extended strong-weak connection to the hypersphere

Abstract

We calculate an effective Polyakov line action of QCD at large Nc and large Nf from a combined lattice strong coupling and hopping expansion working to second order in both, where the order is defined by the number of windings in the Polyakov line. We compare with the action, truncated at the same order, of continuum QCD on S^1 x S^d at weak coupling from one loop perturbation theory, and find that a large Nc correspondence of equations of motion found in \cite{Hollowood:2012nr} at leading order, can be extended to the next order. Throughout the paper, we review the background necessary for computing higher order corrections to the lattice effective action, in order to make higher order comparisons more straightforward.

33 pages, 7 figures

References in corpus (5)

• SU(N) gauge theories at large N
• Onset Transition to Cold Nuclear Matter from Lattice QCD with Heavy Quarks
• Phase diagrams of SU(N) gauge theories with fermions in various representations
• Developments in lattice QCD for matter at high temperature and density
• The Phase Diagram of Strong Coupling QCD including Gauge Corrections

Cited by in corpus (5)

• Polyakov loop modeling for hot QCD
• QCD in the heavy dense regime for general $N_c$: On the existence of quarkyonic matter
• Constraining the QCD phase diagram at finite temperature and density
• Strong coupling methods in QCD thermodynamics
• Large $N_c$ behaviour of lattice QCD in the heavy dense regime