Hamiltonian BRST deformation of a class of n -dimensional BF-type theories

Cioroianu

AIP Conference Proceedings

2017

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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.

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

Cioroianu

AIP Conference Proceedings

2017

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“…It is worth noticing that a BRST Hamiltonian counterpart to the antifield deformation method was conceived [49]. By means of this procedure various models that involve Abelian forms and gauge/matter fields has been successfully analyzed [50][51][52][53][54][55][56][57][58][59][60].…”

Section: Free Theory and Its Brst Symmetrymentioning

confidence: 99%

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

Cioroianu

AIP Conference Proceedings

2017

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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.

“…with ξ λµνρ a bosonic, completely antisymmetric, and otherwise arbitrary tensor, then all the transformed gauge parameters (7) vanish also off-shell Ω α 1 (Ω α 2 (Ω α 3 )) = 0.…”

Section: Starting Modelmentioning

confidence: 99%

“…where both operators are assumed to act like right derivations and ≡ ∂ µ ∂ µ symbolizes the d'Alembertian. We notice that the actions of γ on all fields/ghosts can be obtained in this particular situation simply by replacing all gauge or reducibility parameters from the right-hand sides of relations (3)-(5), (7), (10), and (13) with the corresponding ghosts introduced in (15)- (17).…”

Section: Starting Modelmentioning

confidence: 99%

Gauge-invariant massive BF models

2016

Eur. Phys. J. C

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Consistent interactions that can be added to a free, Abelian gauge theory comprising a BF model and a finite set of massless real scalar fields are constructed from the deformation of the solution to the master equation based on specific cohomological techniques. Under the hypotheses of analyticity in the coupling constant, Lorentz covariance, spacetime locality, and Poincaré invariance, supplemented with the requirement of the preservation of the number of derivatives on each field with respect to the free theory, we see that the deformation procedure leads to two classes of gauge-invariant interacting theories with a mass term for the BF vector field A μ with U (1) gauge invariance. In order to derive this result we have not used the Higgs mechanism based on spontaneous symmetry breaking.