An invariant regularization of the standard model

Frolov, Sergey; Slavnov, A. A.

doi:10.1016/0370-2693(93)90943-c

Cited by 94 publications

(151 citation statements)

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“…The Parity-odd terms, which are proportional to ǫ αν , are unambiguously defined, contrary to the case of the continuum regularization for anomaly free chiral gauge theories [4] which only regulates the parity even terms [5,7]. These parity-odd terms break gauge invariance in the 2-dimensional sense.…”

Section: Total Contributionsmentioning

confidence: 90%

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Perturbative analysis for Kaplan’s lattice chiral fermions

Aoki

Hirose

1994

Phys. Rev. D

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Perturbation theory for lattice fermions with domain wall mass terms is developed and is applied to investigate the chiral Schwinger model formulated on the lattice by Kaplan's method. We calculate the effective action for gauge fields to one loop, and find that it contains a longitudinal component even for anomaly-free cases. From the effective action we obtain gauge anomalies and Chern-Simons current without ambiguity. We also show that the current corresponding to the fermion number has a non-zero divergence and it flows off the wall into the extra dimension. Similar results are obtained for a proposal by Shamir, who used a constant mass term with free boundaries instead of domain walls. 11.15Ha, 11.30Rd, 11.90.+t

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Section: Total Contributionsmentioning

confidence: 90%

“…In the continuum perturbation theory Frolov and Slavnov [4] proposed a gauge invariant regularization of the standard model through an infinite tower of regulator fields. Some similarity between their proposal and the Kaplan's approach was pointed out by Narayanan and Neuberger [5].…”

Section: Introductionmentioning

confidence: 99%

Perturbative analysis for Kaplan’s lattice chiral fermions

Aoki

Hirose

1994

Phys. Rev. D

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“…It was found to be B K (2 GeV) = 0.538(8) on a 16 3 × 32 lattice with L s = 16. This is lower than the value B K = 0.562 (14) obtained by [83], probably because the non-perturbative renormalization constant of [85] is lower than the perturbative one used in [83] (see also the review [28]). …”

Section: Quenched Qcdmentioning

confidence: 56%

Domain wall fermions and applications

Vranas

2001

Nuclear Physics B - Proceedings Supplements

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Domain wall fermions provide a complimentary alternative to traditional lattice fermion approaches. By introducing an extra dimension, the amount of chiral symmetry present in the lattice theory can be controlled in a linear way. This results in improved chiral properties as well as robust topological zero modes. A brief introduction on the subject and a discussion of chiral properties and applications, such as zero and finite temperature QCD, N = 1 Super Yang-Mills, and four-fermion theories, is presented.

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“…The need for infinite number of regulator fields is essential and this regularization does not fall under the category considered in [9] for this reason. The situation is quite similar to the one encountered when one regularizes a chiral fermion in even dimensions using infinitely many Pauli-Villars fields [10,11]. In Section IV, we construct the overlap formalism [12] for a three dimensional massless Dirac fermion coupled to an external gauge field on the lattice.…”

Section: Introductionmentioning

confidence: 87%

“…In this section we see that even within Pauli-Villars regularization, one can make it manifestly parity invariant by using infinite number of Pauli-Villars fields. Such a formalism has been developed in even dimensions in the context of regularizing chiral gauge theory in a gauge invariant way [10,11].…”

Section: Perturbative Regularization Using Infinite Number Of Pamentioning

confidence: 99%

Parity-invariant lattice regularization of a three-dimensional gauge-fermion system

Narayanan

Nishimura

1997

Nuclear Physics B

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The effective action for the gauge field induced by integrating out a massless Dirac fermion is known to give either a parity-invariant or a parity-violating result, depending on the regularization scheme. The two classes of theories cannot be connected by adding local terms in the gauge field. We construct a lattice formulation of the massless Dirac fermion using the overlap formalism. We show that the result is parity invariant in contrast to the formulation using Wilson fermions in the massless limit. This facilitates a non-perturbative study of three dimensional massless Dirac fermions interacting with a gauge field in a parity invariant setting with no need for fine-tuning.

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An invariant regularization of the standard model

Cited by 94 publications

References 5 publications

Perturbative analysis for Kaplan’s lattice chiral fermions

Perturbative analysis for Kaplan’s lattice chiral fermions

Domain wall fermions and applications

Parity-invariant lattice regularization of a three-dimensional gauge-fermion system

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