Perturbative contributions to Wilson loops in twisted lattice boxes and reduced models

2017/08/02 by Margarita Garcı́a Pérez, Pérez, Margarita García, Antonio González-Arroyo +3 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.1708.00841

Abstract

We compute the perturbative expression of Wilson loops up to order g⁴ for SU(N) lattice gauge theories with Wilson action on a finite box with twisted boundary conditions. Our formulas are valid for any dimension and any irreducible twist. They contain as a special case that of the 4-dimensional Twisted Eguchi-Kawai model for a symmetric twist with flux k. Our results allow us to analyze the finite volume corrections as a function of the flux. In particular, one can quantify the approach to volume independence at large N as a function of flux k. The contribution of fermion fields in the adjoint representation is also analyzed.

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• Universal Features of Chiral Symmetry Breaking in Large-N QCD
• Bootstrap Method in Theoretical Physics
• The perturbative SU(N) one-loop running coupling in the twisted gradient flow scheme
• The large-N limit of the topological susceptibility of SU(N) Yang-Mills theories via Parallel Tempering on Boundary Conditions

Related

• Volume reduction through perturbative Wilson loops
• Perturbative analysis of twisted volume reduced theories
• Wilson loops in finite Abelian lattice gauge theories
• Very high order lattice perturbation theory for Wilson loops
• Wilson loop expectations in SU(N) lattice gauge theory