Cohomological derivation of the couplings between an abelian gauge field and matter fields

Bizdadea, C.; Cioroianu, E. M.; Negru, I.; Saliu, S. O.

doi:10.1002/1521-3889(200105)10:5<415::aid-andp415>3.0.co;2-i

Cited by 13 publications

(7 citation statements)

References 15 publications

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“…In this paper we investigate consistent Lagrangian couplings that can be added between a set of vector fields and a system of matter fields (of spin 0, respectively, 1/2) by means of the deformation of the master equation. This approach represents an extension of our former results exposed in [21] on the abelian case. Our treatment goes as follows.…”

Section: Introductionmentioning

confidence: 61%

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Lagrangian cohomological couplings among vector fields and matter fields

et al. 2001

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Section: Introductionmentioning

confidence: 61%

“…where the notation f q ½ signifies that f depends on q and its derivatives up to a finite order. Relying on the fact that gh a ð Þ ¼ 0, it results that pgh a i ð Þ ¼ i, hence from (21) we have that the last representative in a is of the type…”

Section: First-order Deformationsmentioning

confidence: 99%

Lagrangian cohomological couplings among vector fields and matter fields

et al. 2001

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“…In the context of the settings (46) and (48), the generating set of gauge transformations (39) becomes…”

Section: An Interesting Class Of Solutions To the Consistency Equationsmentioning

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 derivation of the couplings between an abelian gauge field and matter fields

Cited by 13 publications

References 15 publications

Lagrangian cohomological couplings among vector fields and matter fields

Lagrangian cohomological couplings among vector fields and matter 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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