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arxiv: 1708.00841 · v1 · pith:335DXH4Qnew · submitted 2017-08-02 · ✦ hep-lat · hep-th

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

Margarita Garc\'ia P\'erez , Antonio Gonz\'alez-Arroyo , Masanori Okawa This is my paper
classification ✦ hep-lat hep-th
keywords fluxtwistedwilsonfinitefunctionlatticeloopsperturbative
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We compute the perturbative expression of Wilson loops up to order $g^4$ 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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  1. Scale setting of SU($N$) Yang--Mills theory, topology and large-$N$ volume independence

    hep-lat 2025-11 unverdicted novelty 5.0

    Gradient-flow scales are set for SU(3), SU(5), SU(8) and large-N Yang-Mills down to 0.025 fm using twisted volume reduction and topology-taming algorithms.