Quantized gauge-affine gravity in the superfiber bundle approach

Meziane, A.; Tahiri, M.

doi:10.1103/physrevd.71.104033

Cited by 3 publications

(3 citation statements)

References 37 publications

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“…Let us recall that similar gauge-fixing superaction was used in Refs. [19][20][21]. We note first that in the case of Yang-Mills theory the superaction involves a Lorentz gauge [22] given by…”

Section: Quantum Actionmentioning

confidence: 99%

Geometry and Off-shell Nilpotency for $\mathcal {N}=1$ Supersymmetric Yang--Mills Theory

Meziane¹,

Tahiri²

2015

Acta Phys. Pol. B

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We show that for N = 1 supersymmetric Yang-Mills theory it is possible to build an off-shell nilpotent BRST and anti-BRST algebra in terms of a BRST superspace formalism. This is based on the introduction of the basic fields of the quantized theory together with an auxiliary real field via the lowest components of the superfield components of a superYang-Mills connection. Here, the associated supercurvature is constrained by horizontality conditions as in ordinary Yang-Mills theory. We also show how the off-shell BRST-invariant quantum action can be constructed starting from a gauge-fixed superaction.

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Section: Quantum Actionmentioning

confidence: 99%

Geometry and Off-shell Nilpotency for $\mathcal {N}=1$ Supersymmetric Yang--Mills Theory

Meziane¹,

Tahiri²

2015

Acta Phys. Pol. B

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“…In the present section, we show how to construct in the context of our procedure a BRST-invariant quantum action for N = 1 super Yang-Mills theory as the lowest component of a quantum superaction. To this purpose, let us recall that the gauge-fixing superaction similar to that obtained in the case of Yang-Mills theories [16,17] and gauge-affine gravity [18] is given by…”

Section: Quantum Actionmentioning

confidence: 99%

Off-shell BRST superspace formulation of N = 1 supersymmetric Yang-Mills theory

Aidaoui¹,

Meziane²,

Tahiri³

2012

AIP Conference Proceedings

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We propose to construct the off-shell nilpotent BRST and anti-BRST transformations in four dimensional N = 1 supersymmetric Yang-Mills theory in terms of a BRST superspace formalism. The method is based on the possibility of introducing auxiliary fields through the supersymmetric transformations of the superpartener of the gauge potential associated to a supersymmetric Yang-Mills connection. These fields are required to achieve the off-shell nilpotency of the BRST and anti-BRST operators. We also show how this off-shell structure is used to build the BRST and anti-BRST invariant gauge-fixed quantum action.

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“…However, many proposed models have confronted a block and this is due to the inability to have at hand a theory of quantum gravity which is at the same time renormalizable and unitary. Moreover, the peculiarity of gravity if quantized refers to the dimensionful character of the gravitational coupling constant G N [1].…”

Section: Introductionmentioning

confidence: 99%