Superfield formulation of extended BRS symmetry

Bonora, L.; Tonin, M.

doi:10.1016/0370-2693(81)90365-8

Cited by 280 publications

(684 citation statements)

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“…The extended BRS equations [1][2][3][4] which govern the unitarity [1,5] and renormalizability [1,2,6,7] of Yang-Mills theory are Sp(2) symmetric in the ghost antighost fields [8,9,10]. On the other hand, the familiar Faddeev POPJv gauges [11] break this symmetry and the antighost plays no role [12] in the classification of anomalies [13,14,15].…”

Section: Introductionmentioning

confidence: 99%

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Ghost-creating gauges in Yang-Mills theory

Thierry‐Mieg

1985

Nuclear Physics B

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Section: Introductionmentioning

confidence: 99%

“…the ce symmetry of the equations is less manifest. A great.emphasis has been put on this Sp(2) symmetry in the BRS superspace of Bonora and Tonin [8,21] Delbourgo and Jarvis [9).…”

Section: Introductionmentioning

confidence: 99%

Ghost-creating gauges in Yang-Mills theory

Thierry‐Mieg

1985

Nuclear Physics B

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“…For a special type SM, the association of the quantities of a local SLQ with the standard description of field theory objects in the framework of the BV method [2] is provided by the restriction η = 0 for all the quantities and relations, for by setting them equal to zero or by applying horizontality conditions, as in the case of Yang-Mills theories [13,14]. For an arbitrary smooth functional F[Γ l ], which is used in the methods described in [4,5], there exists a function…”

Section: Association With the Bv Methods And Superfield Lagrangian Quamentioning

confidence: 99%

The effective action for superfield Lagrangian quantization in reducible hypergauges

Reshetnyak

2004

Russ Phys J

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[3][4][5]. The superfield quantization [3], which is applicable in the canonical formalism and in its implication -Lagrangian formalism, makes use of the nontrivial relation of the odd Grassmann η and even t projections of supertime, Γ = (t, η), as distinct from the Lagrangian quantization [4,5].Note that algorithmic methods have been found [6] for constructing generalized Poisson sigma models in the framework of the superfield formalism [7]. The quantization described in [3] has been generalized for two and more supersymmetries which are associated with Grassmann variablesThe aim of the work under consideration is to construct a local version of the superfield Lagrangian quantization (SLQ). In the SLQ, we realize the explicit superfield representation of the structural functions of a gauge algebra (GA), not indicated in [4,5], in the framework of an η-local superfield model (SM) which includes the initial standard gauge model.A correlation with classical mechanics reconstructs the dynamics and gauge invariance for the original model in terms of η-local differential equations (DE's). The properties of the local generating functionals of Green's functions (GFGF's) are derived from a Hamiltonian system (HS), which is constructed w.r.t. the η-local quantum and the gauge fixing action.In the SLQ, we first define the effective action for a wider class of non-Abelian reducible hypergauges (the case of irreducible hypergauge functions is considered in [9]).In this paper, we describe the Lagrangian and Hamiltonian formulations of the SM, specify quantization rules, and determine, based on the component formulation, the relations of the proposed quantization scheme to the superfield quantization [4,5] and multilevel formalism [9].We make use of some of conventions from [4,5] and the condensed notation from [10]. The rank of an even supermatrix is characterized by a pair of numbers (k + , k ─ ), where k + and k ─ are the respective ranks of the Bose-Bose and Fermi-Fermi blocks of the supermatrix with respect to the basic Grassmann parity ε. A similar pair of numbers denotes the dimension of a supermanifold, which is equal to (dim + , dim ─ ). On the set of these pairs, operations of component-wise composition and comparison ((k + , k ─ )>(l + , l ─ ) ⇔ ((k + >k ─ , l + ≥ l ─ ) or (k + ≥k ─ , l + > l ─ )), (k + , k ─ )=(l + , l ─ ) ⇔ ( k + =l + , k ─ =l ─ )) are defined.Tomsk State Pedagogical University.

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“…A superspace description for various gauge theories in BV formulation has been studied extensively [55][56][57][58][59][60][61][62][63][64]. They have shown that the extended BRST and extended anti-BRST invariant actions of these theories (including some shift symmetry) in BV formulation yield naturally the proper identification of the antifields through equations of motion.…”

Section: Introductionmentioning

confidence: 99%

The Quantum Description of BF Model in Superspace

Dwivedi

2018

Advances in High Energy Physics

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We consider the BRST symmetric four-dimensional BF theory, a topological theory, containing antisymmetric tensor fields in Landau gauge and extend the BRST symmetry by introducing a shift symmetry to it. Within this formulation, the antighost fields corresponding to shift symmetry coincide with antifields of standard field/antifield formulation. Furthermore, we provide a superspace description for the BF model possessing extended BRST and extended anti-BRST transformations.

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Superfield formulation of extended BRS symmetry

Cited by 280 publications

References 5 publications

Ghost-creating gauges in Yang-Mills theory

Ghost-creating gauges in Yang-Mills theory

The effective action for superfield Lagrangian quantization in reducible hypergauges

The Quantum Description of BF Model in Superspace

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