Algebraic renormalization of N = 1 supersymmetric gauge theories with supersymmetry breaking masses

Maggiore, Nicola; Piguet, O.; Wolf, Sylvain

doi:10.1016/0550-3213(96)00360-4

Cited by 32 publications

(81 citation statements)

References 17 publications

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“…For the standard model the algebraic renormalization has been worked out in [22], soft breakings have been introduced in [23]. Although the corresponding Slavnov-Taylor identities are more involved since they have to express not only the symmetries but also the spontaneous or soft breaking, their structure is the same as in SQED.…”

Section: Discussionmentioning

confidence: 99%

Renormalization and symmetry conditions in supersymmetric QED

1999

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For supersymmetric gauge theories a consistent regularization scheme that preserves supersymmetry and gauge invariance is not known. In this article we tackle this problem for supersymmetric QED within the framework of algebraic renormalization. For practical calculations, a non-invariant regularization scheme may be used together with counterterms from all power-counting renormalizable interactions. From the Slavnov-Taylor identity, expressing gauge invariance, supersymmetry and translational invariance, simple symmetry conditions are derived that are important in a twofold respect: they establish exact relations between physical quantities that are valid to all orders, and they provide a powerful tool for the practical determination of the counterterms. We perform concrete one-loop calculations in dimensional regularization, where supersymmetry is spoiled at the regularized level, and show how the counterterms necessary to restore supersymmetry can be read off easily. In addition, a specific example is given how the supersymmetry transformations in one-loop order are modified by non-local terms.

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Section: Discussionmentioning

confidence: 99%

Renormalization and symmetry conditions in supersymmetric QED

1999

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“…See Refs. [49,50,51] and references therein. The onshell closure can also be incorporated into this framework by introducing a term that is quadratic in the "anti-field" of the gluino, K ψ (see, for example, Refs.…”

Section: General Frameworkmentioning

confidence: 99%

“…If one wants to constrain the structure of radiative corrections by using the Slavnov-Taylor (ST) identity or the Zinn-Justin equation, those relations should not contain tree-level symmetry-breakings such as the gluino mass term. To circumvent this point, we introduce generalized BRS doublet fields (spurions) (u V , v V ) and (u A , v A ) which make the mass term "formally" BRS invariant [71,51].…”

Section: General Frameworkmentioning

confidence: 99%

“…To incorporate the mass term of the gluino that explicitly breaks SUSY and U(1) A , we must further introduce s-doublet fields (u V , v V ) and (u A , v A ) following the procedure of Refs. [71,51]:…”

Section: ))mentioning

confidence: 99%

“…We will find that the adoption of the generalized BRS transformation [49,50,51] in the lattice framework, that treats the gauge, SUSY, translation and U(1) A transformations in a unified way, does the required job.…”

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confidence: 99%

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Supersymmetry, chiral symmetry and the generalized BRS transformation in lattice formulations of 4DN=1SYM

Suzuki¹

2012

Nuclear Physics B

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In the context of the lattice regularization of the four-dimensional N = 1 supersymmetric Yang-Mills theory (4D N = 1 SYM), we formulate a generalized BRS transformation that treats the gauge, supersymmetry (SUSY), translation and axial U(1) (U(1) A ) transformations in a unified way. A resultant Slavnov-Taylor identity or the Zinn-Justin equation gives rise to a strong constraint on the quantum continuum limit of symmetry breaking terms with the lattice regularization. By analyzing the implications of the constraint on operator-mixing coefficients in the SUSY and the U(1) A WardTakahashi (WT) identities, we prove to all orders of perturbation theory in the continuum limit that, (i) the chiral symmetric limit implies the supersymmetric limit and, (ii) a three-fermion operator that might potentially give rise to an exotic breaking of the SUSY WT identity does not emerge. In previous literature, only a naive or incomplete treatment on these points can be found. Our results provide a solid theoretical basis for lattice formulations of the 4D N = 1 SYM.

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Regularization and supersymmetry-restoring counterterms in supersymmetric QCD

Hollik

Stöckinger

2001

Eur. Phys. J. C

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Abstract. We calculate symmetry-restoring counterterms in supersymmetric QCD at the one-loop level. First we determine loop corrections to the supersymmetry and gauge transformations and find counterterms in such a way that the symmetry algebra holds at the one-loop level. Then these results are used to derive the symmetry-restoring counterterms to all trilinear interactions. In order to obtain unique results it is crucial to use the Slavnov-Taylor identity, which does not only contain supersymmetric and gauge Ward identities but also describes the symmetry algebra. In dimensional regularization this procedure yields unique non-zero values for the counterterms. In contrast, in dimensional reduction we find that no non-symmetric counterterms are needed, neither for the symmetry transformations nor for the physical interactions. For the considered cases this result constitutes a definite test of the supersymmetry and gauge invariance of the scheme.

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Algebraic renormalization of N = 1 supersymmetric gauge theories with supersymmetry breaking masses

Cited by 32 publications

References 17 publications

Renormalization and symmetry conditions in supersymmetric QED

Renormalization and symmetry conditions in supersymmetric QED

Supersymmetry, chiral symmetry and the generalized BRS transformation in lattice formulations of 4DN=1SYM

Regularization and supersymmetry-restoring counterterms in supersymmetric QCD

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