Augmented superfield approach to gauge-invariant massive 2-form theory

Kumar, R.; Krishna, S.

doi:10.1140/epjc/s10052-017-4954-y

Cited by 10 publications

(14 citation statements)

References 53 publications

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“…B µν ) theory with the anti-symmetric tensor (B µν = − B νµ ) field (carrying the rest mass m) as follows (see, e.g. [16] and references therein)…”

Section: Preliminaries: Stückelberg Formalism In Any Arbitrary Dimens...mentioning

confidence: 99%

“…The gauge symmetry transformations can be restored for the modified version of the standard Lagrangian density (1) if we exploit the basic theoretical methodology of the Stückelberg-formalism (SF) [17] related with compensating field(s). In other words, due to SF, we replace the basic antisymmetric Abelian 2-form field B µν as follows [16,17]…”

Section: Preliminaries: Stückelberg Formalism In Any Arbitrary Dimens...mentioning

confidence: 99%

“…In the latter theory, the 4D Abelian 2-form gauge theory also incorporates the Maxwell Abelian 1-form (A (1) = d x µ A µ ) gauge field with curvature 2-form F (2) = d A (1) . There are many ways to derive (18) from (16). However, we have chosen one of the simplest methods to derive the equation (18) which is not a higher derivative culprit term for our 4D massive Abelian 2-form theory.…”

Section: Preliminaries: Stückelberg Formalism In Any Arbitrary Dimens...mentioning

confidence: 99%

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

Rao¹,

Malik²

2021

Preprint

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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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“…B µν ) theory with the anti-symmetric tensor (B µν = − B νµ ) field (carrying the rest mass m) as follows (see, e.g. [16] and references therein)…”

Section: Preliminaries: Stückelberg Formalism In Any Arbitrary Dimens...mentioning

confidence: 99%

Section: Preliminaries: Stückelberg Formalism In Any Arbitrary Dimens...mentioning

confidence: 99%

Section: Preliminaries: Stückelberg Formalism In Any Arbitrary Dimens...mentioning

confidence: 99%

See 1 more Smart Citation

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

Rao¹,

Malik²

2021

Preprint

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“…This statement is true in any arbitrary dimension of spacetime and it is valid for even the higher p-form (p = 2, 3...) gauge theories. For instance, we have exploited this technique in the context of massive Abelian 2-form gauge theory [4,5] where the mass and gauge symmetry co-exist together (due to the application of the Stückelberg formalism).…”

Section: Introductionmentioning

confidence: 99%

Modified Proca Theory in Arbitrary and Two Dimensions

Rao,

Malik

2021

Preprint

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We demonstrate that the standard Stückelberg-modified Proca theory (i.e. a massive Abelian 1-form theory) respects the classical gauge and corresponding quantum (anti-)BRST symmetry transformations in any arbitrary dimension of spacetime within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism. We further show that the Stückelberg formalism gets modified in the two (1+1)-dimensions of spacetime due to a couple of discrete duality symmetries in the theory which turn out to be responsible for the existence of the nilpotent (anti-)co-BRST symmetry transformations corresponding to the nilpotent (anti-)BRST symmetry transformations of our theory. These nilpotent symmetries exist together in the modified version of the two (1+1)-dimensional (2D) Proca theory. We provide the mathematical basis for the modification of the Stückelberg-technique, the existence of the discrete duality as well as the continuous (anti-)co-BRST symmetry transformations in the 2D modified version of Proca theory.

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“…In recent years, the "augmented" superfield formalism (which is an extended version of Bonora-Tonin superfield approach) has been extensively used for the interacting gauge theories such as 1-form gauge theory interacts with Dirac's fields and complex scalar fields [27], gauge-invariant Proca theory [28], gauge-invariant massive 2-form theory [29] and references therein. In this approach, in addition to the HC, the conserved currents and/or gauge-invariant restrictions play very important role in the derivation of the complete set of (anti-)BRST transformations.…”

Section: Introductionmentioning

confidence: 99%

$$(3+1)$$ ( 3 + 1 ) -Dimensional topologically massive 2-form gauge theory: geometrical superfield approach

Kumar¹,

Mukhopadhyay²

2018

Eur. Phys. J. C

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We derive the complete set of off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations corresponding to the combined "scalar" and "vector" gauge symmetry transformations for the (3+1)-dimensional (4D) topologically massive non-Abelian (B ∧ F) theory with the help of geometrical superfield formalism. For this purpose, we use three horizontality conditions (HCs). The first HC produces the (anti-)BRST transformations for the 1-form gauge field and corresponding (anti-)ghost fields whereas the second HC yields the (anti-)BRST transformations for 2-form field and associated (anti-)ghost fields. The integrability of second HC produces third HC. The latter HC produces the (anti-)BRST symmetry transformations for the compensating auxiliary vector field and corresponding ghosts. We obtain five (anti-)BRST invariant Curci-Ferrari (CF)-type conditions which emerge very naturally as the off-shoots of superfield formalism. Out of five CF-type conditions, two are fermionic in nature. These CF-type conditions play a decisive role in providing the absolute anticommutativity of the (anti-)BRST transformations and also responsible for the derivation of coupled but equivalent (anti-)BRST invariant Lagrangian densities. Furthermore, we capture the (anti-)BRST invariance of the coupled Lagrangian densities in terms of the superfields and translation generators along the Grassmannian directions θ andθ .

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Augmented superfield approach to gauge-invariant massive 2-form theory

Cited by 10 publications

References 53 publications

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

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

Modified Proca Theory in Arbitrary and Two Dimensions

$$(3+1)$$ ( 3 + 1 ) -Dimensional topologically massive 2-form gauge theory: geometrical superfield approach

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