Non-Abelian Gauge Theory in the Lorentz Violating Background

Ganai, Prince A.; Shah, Mushtaq B.; Masood, Syed; Ahmad, Owais

doi:10.1007/s10773-018-3722-6

Int J Theor Phys

2018

DOI: 10.1007/s10773-018-3722-6

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Non-Abelian Gauge Theory in the Lorentz Violating Background

Prince A. Ganai

Mushtaq B. Shah

Syed Masood

et al.

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Cited by 3 publications

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“…In spite of such investigations, spontaneous breaking of Lorentz symmetry due to ghost condensation is also explored [27][28][29][30]. In fact, there are various models in literature which discuss BRST symmetry [31][32][33][34][35] and Lorentz breaking scheme [36,37].…”

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confidence: 99%

Lorentz-violating gaugeon formalism for rank-2 tensor theory

2019

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We develop a BRST symmetric gaugeon formalism for the Abelian rank-2 antisymmetric tensor field in the Lorentz breaking framework. The Lorentz breaking is achieved here by considering a proper subgroup of Lorentz group together with translation. In this scenario, the gaugeon fields together with the standard fields of the Abelian rank-2 antisymmetric tensor theory get mass. In order to develop the gaugeon formulation for this theory in VSR, we first introduce a set of dipole vector fields as a quantum gauge freedom to the action. In order to quantize the dipole vector fields, the VSR-modified gauge-fixing and corresponding ghost action are constructed as the classical action is invariant under a VSR-modified gauge transformation. Further, we present a Type I gaugeon formalism for the Abelian rank-2 antisymmetric tensor field theory in VSR. The gauge structures of Fock space constructed with the help of BRST charges are also discussed.

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Lorentz-violating gaugeon formalism for rank-2 tensor theory

2019

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Lorentz violating gaugeon formalism of Yang–Mills theory

Shah

Ganai

Dar

2019

Int. J. Mod. Phys. A

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VSR is a way of keeping the main relativistic effects intact using subgroups of the Lorentz group instead of the full Lorentz group itself. In this paper, we study the quantization of the Yang–Mills theory, gaugeon formalism within the VSR framework. The gauge freedom is restored once we develop the gaugeon formalism. Also, the mass of corresponding gauge boson is modified because of the VSR effect. We find that the gaugeon formalism for Yang–Mills theory in VSR is consistent with the Lorentz invariant case except the fact that each field gets mass. We also discuss the generalization of BRST transformation within VSR framework. It is found that the gaugeon modes appear in the configuration space through the Jacobian of functional measure.

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Lorentz symmetry breaking in supersymmetric quantum electrodynamics

Ganai

Ahmad

Tobia

et al. 2020

Int. J. Geom. Methods Mod. Phys.

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Lorentz symmetry is one of the fundamental symmetries of nature; however, it can be broken by several proposals such as quantum gravity effects, low energy approximations in string theory and dark matter. In this paper, Lorentz symmetry is broken in supersymmetric quantum electrodynamics using aether superspace formalism without breaking any supersymmetry. To break the Lorentz symmetry in three-dimensional quantum electrodynamics, we must use the [Formula: see text] aether superspace. A new constant vector field is introduced and used to deform the deformed generator of supersymmetry. This formalism is required to fix the unphysical degrees of freedom that arise from the quantum gauge transformation required to quantize this theory. By using Yokoyama’s gaugeon formalism, it is possible to study these gaugeon transformations. As a result of the quantum gauge transformation, the supersymmetric algebra gets modified and the theory is invariant under BRST symmetry. These results could aid in the construction of the Gravity’s Rainbow theory and in the study of superconformal field theory. Furthermore, it is demonstrated that different gauges in this deformed supersymmetric quantum electrodynamics can be related to each other using the gaugeon formalism.

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Non-Abelian Gauge Theory in the Lorentz Violating Background

Cited by 3 publications

References 92 publications

Lorentz-violating gaugeon formalism for rank-2 tensor theory

Lorentz-violating gaugeon formalism for rank-2 tensor theory

Lorentz violating gaugeon formalism of Yang–Mills theory

Lorentz symmetry breaking in supersymmetric quantum electrodynamics

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