BRS symmetry restoration of chiral Abelian Higgs-Kibble theory in dimensional renormalization with a non-anticommuting $\gamma_5$

D. Sanchez-Ruiz (Universidad Complutense de Madrid)

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BRS symmetry restoration of chiral Abelian Higgs-Kibble theory in dimensional renormalization with a non-anticommuting $\gamma_5$

D. Sanchez-Ruiz (Universidad Complutense de Madrid)

High Energy Physics - Theory · Submitted 3 Sep 2002

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The authors' main claim The anomalous terms introduced in the Slavnov-Taylor identities by the minimal subtraction algorithm are calculated and the asymmetric counterterms needed to restore the BRS symmetry, if the anomaly cancellation conditions are met, are computed.

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arXiv IDhep-th/0209023 (version 2)

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CitationD. Sanchez-Ruiz (Universidad Complutense de Madrid). "BRS symmetry restoration of chiral Abelian Higgs-Kibble theory in dimensional renormalization with a non-anticommuting $\gamma_5$." arXiv:hep-th/0209023 (2002). https://pith.science/paper/4OTSCZYM

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The one-loop renormalization of the abelian Higgs-Kibble model in a general 't Hooft gauge and with chiral fermions is fully worked out within dimensional renormalization scheme with a non-anticommuting $\gamma_5$. The anomalous terms introduced in the Slavnov-Taylor identities by the minimal subtraction algorithm are calculated and the asymmetric counterterms needed to restore the BRS symmetry, if the anomaly cancellation conditions are met, are computed. The computations draw heavily from regularized action principles and Algebraic Renormalization theory.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The one-loop renormalization of the abelian Higgs-Kibble model in a general 't Hooft gauge and with chiral fermions is fully worked out within dimensional renormalization scheme with a non-anticommuting $\gamma_5$.	contribution 0.97	0.93	0.13	asserted 1.00
s1	The anomalous terms introduced in the Slavnov-Taylor identities by the minimal subtraction algorithm are calculated and the asymmetric counterterms needed to restore the BRS symmetry, if the anomaly cancellation conditions are met, are computed.	contribution 0.52	0.94	0.51	asserted 0.99
s2	The computations draw heavily from regularized action principles and Algebraic Renormalization theory.	method 0.99	0.44	0.04	asserted 1.00

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Original abstract

The one-loop renormalization of the abelian Higgs-Kibble model in a general 't Hooft gauge and with chiral fermions is fully worked out within dimensional renormalization scheme with a non-anticommuting $\gamma_5$. The anomalous terms introduced in the Slavnov-Taylor identities by the minimal subtraction algorithm are calculated and the asymmetric counterterms needed to restore the BRS symmetry, if the anomaly cancellation conditions are met, are computed. The computations draw heavily from regularized action principles and Algebraic Renormalization theory.

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12 arXiv papers cite this in 22 sentences

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It turns out that as a result BRST symmetry of chiral gauge theories is necessarily broken in $D$ dimensions, and it is required to add appropriate symmetry-restoring counterterms which restore the symmetry after renormalization in the 4-dimensional limit, for early results see Refs. [ref] , for a recent review see e.g. [ref] and for a compact summary of recent progress see [ref] .

Two-Loop Renormalization of a Chiral $SU(2)$ Gauge Theory in Dimensional Regularization with Non-Anticommuting $\gamma_5$ · Introduction · 0.90
For early discussions of the scheme see e.g. Refs. [ref] , while results for gauge-invariance restoring counterterms can be found first in Refs. [ref] and more recently in Refs. [ref] at 1-loop and [ref] at 2- and 3-loop order.

Shedding Light on Evanescent Shadows -- Exploration of non-anticommuting $\gamma_5$ in Dimensional Regularisation · Introduction · 0.89
Symmetry-restoring counterterms for the BMHV scheme have been considered in the literature already for gauge theories without scalar fields [ref] , for abelian gauge theories [ref] , in the evaluation of flavor-changing neutral processes at one-loop [ref] , for supersymmetric QED [ref] , and different practical strategies for their determination have been developed e.g. in Refs. [ref] .

Dimensional Regularization and Breitenlohner-Maison / 't Hooft-Veltman Scheme for $\gamma_5$ applied to Chiral YM Theories: Full One-Loop Counterterm and RGE Structure · Introduction · 0.83

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