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Background field technique and renormalization in lattice gauge theory

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arxiv hep-lat/9504006 v1 pith:2QBP6E5S submitted 1995-04-11 hep-lat

classification hep-lat
keywords backgroundgaugefieldlatticetheoryabsenceadditionalalready
verification ladder T0 review T1 audit T2 compute T3 formal
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Lattice gauge theory with a background gauge field is shown to be renormalizable to all orders of perturbation theory. No additional counterterms are required besides those already needed in the absence of the background field. The argument closely follows the treatment given earlier for the case of dimensional regularization by Kluberg-Stern and Zuber. It is based on the BRS, background gauge and shift symmetries of the lattice functional integral.

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  1. Logarithmic corrections to O($a^2$) effects in lattice QCD with unrooted Staggered quarks

    hep-lat 2025-01 conditional novelty 7.0 of 10

    Spectral lattice artifacts for unrooted staggered quarks scale as a^2 [2 b0 gbar^2(1/a)]^gamma, with the smallest exponents near -0.3 for N_f=0,4 and near -0.9 and -2.6 for N_f=8,12.

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