On Chapline-Manton Couplings: a Cohomological Approach

Bizdadea, C.; Saliu, L.; Saliu, S. O.

doi:10.1238/physica.regular.061a00307

Cited by 21 publications

(22 citation statements)

References 22 publications

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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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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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“…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%

“…In the second situation, depicted by choice (44), the most general [polynomial] solution of equations (30) and (34) has the expression…”

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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“…Related to the Hamiltonian BRST symmetry associated with this free theory, we mention that our discussion from section 3.1 remains valid in the Abelian gauge field sector, with the exception of the bracket, which should be interpreted as Dirac instead of Poisson. Thus, all formulas (19)(20)(21)(22)(23)(24)(25)(26)(27)(28) connected with this sector will be used in the sequel, while the ones describing the complex scalar component should be removed and replaced by…”

Section: Couplings Between An Abelian Gauge Field and A Dirac Fieldmentioning

confidence: 99%

“…This Lagrangian cohomological deformation technique has been successfully applied to many models of interest, like Chern-Simons models, Yang-Mills theories, the Chapline-Manton model, p-forms and chiral p-forms, Einstein's gravity theory, four-and elevendimensional supergravity, or BF models [11], [17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32].…”

Section: Introductionmentioning

confidence: 99%