COHOMOLOGICAL BRST ASPECTS OF THE MASSLESS TENSOR FIELD WITH THE MIXED SYMMETRY (k,k)

Ciobirca, C. C.; Cioroianu, E. M.; Saliu, S. O.

doi:10.1142/s0217751x04018488

Cited by 16 publications

(17 citation statements)

References 26 publications

(85 reference statements)

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“…which is nothing but the first term from the sum in the right-hand of (26) for D = 5. Starting with this only possibility for a 1 , it is merely a matter of computation to show that the corresponding deformed solution to the master equation, which is consistent to all orders in the coupling constant, is precisely (26).…”

Section: Introductionmentioning

confidence: 99%

No cross-interactions among different tensor fields with the mixed symmetry (3, 1) intermediated by a vector field

Bizdadea¹,

Cornea²,

Saliu³

2008

J. Phys. A: Math. Theor.

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Under the hypotheses of analyticity in the coupling constant, locality, Lorentz covariance, and Poincaré invariance of the deformations, combined with the preservation of the number of derivatives on each field, the consistent interactions between a collection of free massless tensor gauge fields with the mixed symmetry of a two-column Young diagram of the type (3,1) and one Abelian vector field, respectively a p-form gauge field, are addressed. The main result is that a single mixed symmetry tensor field from the collection gets coupled to the vector field/p-form. Our final result resembles to the well known fact from General Relativity according to which there is one graviton in a given world.

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Section: Introductionmentioning

confidence: 99%

No cross-interactions among different tensor fields with the mixed symmetry (3, 1) intermediated by a vector field

Bizdadea¹,

Cornea²,

Saliu³

2008

J. Phys. A: Math. Theor.

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“…Once the deformation equations (15)- (18), etc., have been solved by means of specific cohomological techniques, from the consistent nontrivial deformed solution to the master equation one can identify the entire gauge structure of the resulting interacting theory. The procedure just succinctly addressed was employed in deriving some gravity-related interacting models [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41] and also in deducing the consistent couplings in theories that involve various kinds of forms [42][43][44] or matter fields in the presence of gauge forms [45][46][47].…”

Section: Consistent Couplings Within the Brst Formalism: A Brief Reviewmentioning

confidence: 99%

Note on the BRST mass generation of a vector field. The case of couplings to N = 4 real scalars

Bizdadea

Cioroianu

Saliu

2017

AIP Conference Proceedings

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Abstract. The main aim of this paper is to apply a procedure, different from the Higgs mechanism, by which one may generate mass for a vector field in the context of its interactions to a set of N = 4 real scalar fields. This goal will be attained via implementing the general multi-step program from [1] adapted to the present context: (1) we start from a free theory in D = 4 whose Lagrangian action is expressed like the sum between the Maxwell action for a single vector field and that for a collection of N = 4 massless real scalar fields; (2) we construct a general class of gauge theories whose free limit is that from step (1) by means of the deformation of the solution to the master equation [2] and [3] with the help of local BRST cohomology [4][5][6]. On the one hand, the setup described so far does not account in any way for the Higgs mechanism. On the other hand, it will be proved to produce the next results: (A) the vector field acquires mass; (B) the scalar fields gain gauge transformations, by contrast to the free limit, but the associated gauge algebra remains Abelian; (C) the propagator of the massive vector field emerging from the gauge-fixed action behaves, in the limit of large Euclidean momenta, like that from the massless case.

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“…at hand, from the deformed solution to the master equation (12) one can identify the entire gauge structure of the resulting interacting theory. The procedure previously exposed was successfully employed in constructing some gravity-related interacting models [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42] and also in deducing the consistent couplings in theories that involve various kinds of forms [43][44][45] or matter fields in the presence of gauge forms [46][47][48]. It is worth noticing that a BRST Hamiltonian counterpart to the antifield deformation method was conceived [49].…”

Section: Free Theory and Its Brst Symmetrymentioning

confidence: 99%

Massive spin-one fields from couplings with five massless real scalars

Bizdadea

Cioroianu

Saliu

2017

AIP Conference Proceedings

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Abstract. In this paper we implement a new procedure by which one may generate mass for a vector field in the context of its interactions to a system of five real scalar fields. This purpose will be achieved by means of the general multi-step program from [1] adapted to the present situation: (1) we begin with a free theory in four space-time dimensions whose Lagrangian action is given by the sum between the standard Maxwell action and that for a collection consisting in five massless real scalar fields; (2) we construct a general class of gauge theories whose free limit is that from step (1) by means of the deformation of the solution to the master equation [2,3] with the help of local BRST cohomology [4-6]; (3) we perform some suitable redefinitions of the free parameters that label interacting theories from (2) such that the mass terms become manifest in the new free limit. The outputs of our procedure can be synthesized in: (A) the vector field acquires mass; (B) the scalar fields gain gauge transformations; (C) the gauge algebras of the interacting theories are Abelian; (D) the propagator of the massive vector field emerging from the gauge-fixed actions behaves, in the limit of large Euclidean momenta, like that from the massless case.

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COHOMOLOGICAL BRST ASPECTS OF THE MASSLESS TENSOR FIELD WITH THE MIXED SYMMETRY (k,k)

Cited by 16 publications

References 26 publications

No cross-interactions among different tensor fields with the mixed symmetry (3, 1) intermediated by a vector field

No cross-interactions among different tensor fields with the mixed symmetry (3, 1) intermediated by a vector field

Note on the BRST mass generation of a vector field. The case of couplings to N = 4 real scalars

Massive spin-one fields from couplings with five massless real scalars

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