Gauge-invariant massive BF models

Bizdadea, C.; Saliu, S. O.

doi:10.1140/epjc/s10052-016-3913-3

Cited by 15 publications

(16 citation statements)

References 43 publications

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“…In this setting, full classifications of consistent interaction vertices have been achieved in a number of theories including Yang-Mills [16,17], massless vector-scalar models [18,19], Einstein and Weyl multi-gravity [20,21] as well as pure supergravity [22]. See [23][24][25][26] for other references where the cohomological approach for consistent deformations of classical actions was used. A common property of all these examples is the presence of gauge symmetries.…”

Section: Introductionmentioning

confidence: 99%

Consistent deformations of free massive field theories in the Stueckelberg formulation

Boulanger

Deffayet

García-Sáenz

et al. 2018

J. High Energ. Phys.

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Cohomological techniques within the Batalin-Vilkovisky (BV) extension of the Becchi-Rouet-Stora-Tyutin (BRST) formalism have proved invaluable for classifying consistent deformations of gauge theories. In this work we investigate the application of this idea to massive field theories in the Stueckelberg formulation. Starting with a collection of free massive vectors, we show that the cohomological method reproduces the cubic and quartic vertices of massive Yang-Mills theory. In the same way, taking a Fierz-Pauli graviton on a maximally symmetric space as the starting point, we are able to recover the consistent cubic vertices of nonlinear massive gravity. The formalism further sheds light on the characterization of Stueckelberg gauge theories, by demonstrating for instance that the gauge algebra of such models is necessarily Abelian and that they admit a Born-Infeld-like formulation in which the action is simply a combination of the gauge-invariant structures of the free theory.

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Section: Introductionmentioning

confidence: 99%

Consistent deformations of free massive field theories in the Stueckelberg formulation

Boulanger

Deffayet

García-Sáenz

et al. 2018

J. High Energ. Phys.

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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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Gauge-invariant massive BF models

Cited by 15 publications

References 43 publications

Consistent deformations of free massive field theories in the Stueckelberg formulation

Consistent deformations of free massive field theories in the Stueckelberg formulation

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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