Massive 4D Abelian 2-Form Theory: Nilpotent Symmetries from the (Anti-)Chiral Superfield Approach

Kumar, S.; Chauhan, B.; Tripathi, A.; Malik, R. P.

doi:10.48550/arxiv.2002.11466

Cited by 1 publication

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“…First of all, the Lagrangian densities L (b 1 ) and L (b 2 ) have been derived in a completely different manner in our present endeavor if we compare our present derivation against the derivation in our earlier work [12] where we have exploited the method of trial and error. Second, the CF-type restrictions: B + B + m φ = 0 and B + B + m φ = 0 are same as in our earlier work [12,21] but the other two restrictions in (47) are different. Third, if we stick with the CF-type restrictions that have been derived from the superfield approach to BRST formalism in context of 4D Abelian 2-form massless and massive gauge theories [18,21], we find that the other two restrictions of (47) are: B µ + Bµ + ∂ µ φ = 0 and B µ + Bµ + ∂ µ φ = 0.…”

Section: Linearized Versions Of the Lagrangian Densities: Auxiliary F...mentioning

confidence: 92%

“…Second, the CF-type restrictions: B + B + m φ = 0 and B + B + m φ = 0 are same as in our earlier work [12,21] but the other two restrictions in (47) are different. Third, if we stick with the CF-type restrictions that have been derived from the superfield approach to BRST formalism in context of 4D Abelian 2-form massless and massive gauge theories [18,21], we find that the other two restrictions of (47) are: B µ + Bµ + ∂ µ φ = 0 and B µ + Bµ + ∂ µ φ = 0. Hence, the (±) signs associated with thee (pseudo-)scalar fields (e.g.…”

Section: Linearized Versions Of the Lagrangian Densities: Auxiliary F...mentioning

confidence: 92%

“…However, we shall not dwell on them as it will be only an academic exercise. We would like to emphasize that, in our earlier works [12,21], such kinds of relationships have not been performed.…”

Section: Nilpotent (Co-)brst Invariant Lagrangian Densitymentioning

confidence: 99%

“…We have generalized the Lagrangian densities L (b 1 ) and L (b 2 ) to their counterparts nilpotent (anti-)BRST and (anti-)co-BRST invariant Lagrangian densities L B and L B that incorporate the Faddeev-Popov ghost terms. Such a set of coupled (but equivalent) Lagrangian densities have been written in our earlier works [12,21]. However, we shall focus on only one Lagrangian density and discuss the importance of discrete duality symmetry transformations (48) [and (54) (below)] which will connect the BRST transformations with the co-BRST transformations and vice-versa.…”

Section: Nilpotent (Co-)brst Invariant Lagrangian Densitymentioning

confidence: 99%

“…Towards the above goal in mind, we begin with the following (co-)BRST invariant Lagrangian density ‖ (where L (b 1 ) −→ L B ) (see, e.g. [9,12,21] for details)…”

Section: Nilpotent (Co-)brst Invariant Lagrangian Densitymentioning

confidence: 99%

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Modified St$\ddot u$ckelberg Formalism: Free Massive Abelian 2-Form Theory in 4D

Rao¹,

Malik²

2021

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We demonstrate that the celebrated Stückelberg formalism gets modified in the case of a massive four (3+1)-dimensional (4D) Abelian 2-form theory due to the presence of a self-duality discrete symmetry in the theory. The latter symmetry entails upon the modified 4D massive Abelian 2-form gauge theory to become a massive model of Hodge theory within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism where there is the existence of a set of (anti-)co-BRST transformations corresponding to the usual nilpotent (anti-)BRST transformations. The latter exist in any arbitrary dimension of spacetime for the Stückelberg-modified massive Abelian 2-form gauge theory. The modification in the usual Stückelberg technique is backed by the precise mathematical arguments from differential geometry where the (co-)exterior derivatives play decisive roles. The modified version of the Stückelberg technique remains invariant under the discrete duality symmetry transformations which also establish a precise and deep connection between the nilpotent (anti-)BRST and (anti-)co-BRST symmetry transformations of our 4D theory.

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Section: Linearized Versions Of the Lagrangian Densities: Auxiliary F...mentioning

confidence: 92%

Section: Linearized Versions Of the Lagrangian Densities: Auxiliary F...mentioning

confidence: 92%

Section: Nilpotent (Co-)brst Invariant Lagrangian Densitymentioning

confidence: 99%

Section: Nilpotent (Co-)brst Invariant Lagrangian Densitymentioning

confidence: 99%

“…Towards the above goal in mind, we begin with the following (co-)BRST invariant Lagrangian density ‖ (where L (b 1 ) −→ L B ) (see, e.g. [9,12,21] for details)…”

Section: Nilpotent (Co-)brst Invariant Lagrangian Densitymentioning

confidence: 99%

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