The antighost equation in N = 1 super-Yang-Mills theories

Piguet, O.; Sorella, S. P.

doi:10.1016/0370-2693(95)01605-8

Cited by 7 publications

(7 citation statements)

References 12 publications

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“…Notice that the breaking term clas is purely linear in the quantum fields. As such, it will be not affected by the quantum corrections [40,43]. • The linear symmetries under supersymmetry, translations, R-transformations and rigid transformations are expressed by the Ward identities…”

Section: Ward Identities and Algebraic Characterization Of The Invarimentioning

confidence: 99%

Renormalizability of $${\mathcal {N}}=1$$ N = 1 super Yang–Mills theory in Landau gauge with a Stueckelberg-like field

et al. 2018

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We construct a vector gauge invariant transverse field configuration V H , consisting of the well-known superfield V and of a Stueckelberg-like chiral superfield. The renormalizability of the Super Yang Mills action in the Landau gauge is analyzed in the presence of a gauge invariant mass term m 2 dV M(V H), with M(V H) a power series in V H. Unlike the original Stueckelberg action, the resulting action turns out to be renormalizable to all orders.

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Section: Ward Identities and Algebraic Characterization Of The Invarimentioning

confidence: 99%

Renormalizability of $${\mathcal {N}}=1$$ N = 1 super Yang–Mills theory in Landau gauge with a Stueckelberg-like field

et al. 2018

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“…(14). Therefore, action (20) is suitable to study the symmetry content in terms of Ward identities, including the nonlinear ones. As a last remark before discussing the Ward identities, we would like to call attention to the fact that the BRST operator, s, as well as the Faddeev-Popov ghosts are Grassmann variables and carry a quantum number named ghost number (g#).…”

Section: Local Composite Operator Formalism and The Ward Identitiesmentioning

confidence: 99%

“…Now we are able to present the set of Ward identities enjoyed by the action (20). These identities represent the set of all symmetries of the theory being fundamental for the proof of its renormalizability.…”

Section: Local Composite Operator Formalism and The Ward Identitiesmentioning

confidence: 99%

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Renormalization of a generalized supersymmetric version of the maximal Abelian gauge

2019

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In this work we present an algebraic proof of the renormazibility of the super-Yang-Mills action quantized in a generalized supersymmetric version of the maximal Abelian gauge. The main point stated here is that the generalized gauge depends on a set of infinity gauge parameters in order to take into account all possible composite operators emerging from the dimensionless character of the vector superfield. At the end, after the removal of all ultraviolet divergences, it is possible to specify values to the gauge parameters in order to return to the original supersymmetric maximal Abelian gauge, first presented in Phys. Rev. The Refs [5,6,7] are standard references on the procedure of the algebraic renormalization, while Refs [4,8,9,10,11,12] relate to the renormalization in the presence of dimensionless vector superfield in the Landau and the linear covariant gauges. The problem of dealing with the renormalization of a theory with dimensionless fields is also approached in Refs [13, 14] in the case of a Stueckelberg-like field.

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“…The non-renormalization theorem for chiral vertices [34,13] guarantees the finiteness of the latter insertion. (Another derivation of the finiteness of Tr c 3 + , which is based on the supersymmetric antighost equation, has been given in [35]).…”

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confidence: 99%

All-order Finiteness inN = 1 SYM Theories: Criteria and Applications

Lucchesi

Zoupanos

1997

Fortschr. Phys.

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As a motivation, we first recall the possible connection of electric‐magnetic duality to finiteness in N = 1 super‐Yang‐Mills theories (SYM). Then, we present the criterion for all‐order finiteness (i.e., vanishing of the β‐functions at all orders) in N = 1 SYM. Finally, we apply this finiteness criterion to an SU(5) SGUT. The latter turns out to be all‐order finite if one imposes additional symmetries.

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The antighost equation in N = 1 super-Yang-Mills theories

Cited by 7 publications

References 12 publications

Renormalizability of $${\mathcal {N}}=1$$ N = 1 super Yang–Mills theory in Landau gauge with a Stueckelberg-like field

Renormalizability of $${\mathcal {N}}=1$$ N = 1 super Yang–Mills theory in Landau gauge with a Stueckelberg-like field

Renormalization of a generalized supersymmetric version of the maximal Abelian gauge

All-order Finiteness inN = 1 SYM Theories: Criteria and Applications

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