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arXiv 2001.001832020-01hep-th

Emergent Adler-Bardeen theorem

Vieri Mastropietro

备注：: 14 pages, 2 figures
DOI：: 10.1007/JHEP03(2020)095

英文摘要：

We consider a QED$_{d+1}$, $d=1,3$ lattice model with emergent Lorentz or chiral symmetry, both when the interaction is irrelevant or marginal. While the correlations present symmetry breaking corrections, we prove that the Adler-Bardeen (AB) non-renormalization property holds at a non-perturbative level even at finite lattice: all radiative corrections to the anomaly are vanishing. The analysis uses a new technique based on the combination of non-perturbative regularity properties obtained by exact renormalization Group methods and Ward Identities. The AB property, essential for the renormalizability of the standard model, is therefore a robust feature imposing no constraints on possible symmetry breaking terms, at least in the class of lattice models considered.

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