Interactions between a massless tensor field with the mixed symmetry of the Riemann tensor and a massless vector field

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

doi:10.1088/0305-4470/39/33/021

Cited by 11 publications

(6 citation statements)

References 34 publications

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“…The various aspects of the flat dynamics of mixed-symmetry gauge fields has been examined in [43], [44] for massless bosonic higher-spin fields with two rows of the Young tableaux [32], and recently also for interacting bosonic higher spin fields [45], [46], [47] and for those of lower spins [48], [49] on the basis of the BV cohomological deformation theory [50]. Lagrangian descriptions of massless mixed-symmetry fermionic higher-spin fields in Minkowski spaces have been suggested within a "frame-like" approach in [51].…”

Section: Introductionmentioning

confidence: 99%

General Lagrangian formulation for higher spin fields with arbitrary index symmetry. I. Bosonic fields

Buchbinder

Reshetnyak

2012

Nuclear Physics B

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We construct a Lagrangian description of irreducible integer higher-spin representations of the Poincare group with an arbitrary Young tableaux having k rows, on a basis of the universal BRST approach. Starting with a description of bosonic mixed-symmetry higher-spin fields in a flat space of any dimension in terms of an auxiliary Fock space associated with special Poincare module, we realize a conversion of the initial operator constraint system (constructed with respect to the relations extracting irreducible Poincare-group representations) into a first-class constraint system. For this purpose, we find, for the first time, auxiliary representations of the constraint subalgebra, to be isomorphic due to Howe duality to sp(2k) algebra, and containing the subsystem of second-class constraints in terms of new oscillator variables. We propose a universal procedure of constructing unconstrained gauge-invariant Lagrangians with reducible gauge symmetries describing the dynamics of both massless and massive bosonic fields of any spin. It is shown that the space of BRST cohomologies with a vanishing ghost number is determined only by the constraints corresponding to an irreducible Poincare-group representation. As examples of the general procedure, we formulate the method of Lagrangian construction for bosonic fields subject to arbitrary Young tableaux having 3 rows and derive the gaugeinvariant Lagrangian for new model of massless rank-4 tensor field with spin (2, 1, 1) and second-stage reducible gauge symmetries.

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Section: Introductionmentioning

confidence: 99%

General Lagrangian formulation for higher spin fields with arbitrary index symmetry. I. Bosonic fields

Buchbinder

Reshetnyak

2012

Nuclear Physics B

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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%

“…In this part, from (36) we identify the Lagrangian formulation of the resulting interacting gauge theory. The antifield number 0 piece in the deformed solution (36) is nothing but the Lagrangian action of the emerging class of interacting gauge theoriesS…”

Section: Interacting Theorymentioning

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%

“…This can be done by inserting the ingredients provide by relations (38), (43), and (45) [and (38), (44) and (48) respectively] into the deformed solution (37) and projecting the obtained result on various antighost numbers. In the first situation we get the Lagrangian action…”

Section: Lagrangian Formulation Of the Interacting Theorymentioning

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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Interactions between a massless tensor field with the mixed symmetry of the Riemann tensor and a massless vector field

Cited by 11 publications

References 34 publications

General Lagrangian formulation for higher spin fields with arbitrary index symmetry. I. Bosonic fields

General Lagrangian formulation for higher spin fields with arbitrary index symmetry. I. Bosonic fields

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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