Formulation of gauge theories of general form. I

Voronov, B. L.; Tyutin, I. V.

doi:10.1007/bf01016448

Cited by 118 publications

(161 citation statements)

References 8 publications

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“…This result was obtained in refs. [263,28,105]. Since our aim is pedagogical, we do not present the proof here.…”

Section: Existence and Uniquenessmentioning

confidence: 99%

“…This result was obtained in refs. [263,28] for the case of an irreducible theory. For a general L-th stage reducible theory, the theorem was proven in ref.…”

Section: Existence and Uniquenessmentioning

confidence: 99%

“…An alternative approach [263,27] uses a function which is a combination of original and transformed fields,…”

Section: The Antibracketmentioning

confidence: 99%

“…In the field-antifield approach, the antibracket plays the role of the Poisson bracket. As a consequence, hamiltonian concepts, such as canonical transformations, can be formulated and used [262,263,264,27,105,251]. At the same time, manifest covariance and BRST invariance are maintained.…”

Section: Introductionmentioning

confidence: 99%

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Antibracket, antifields and gauge-theory quantization

1995

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The antibracket formalism for gauge theories, at both the classical and quantum level, is reviewed. Gauge transformations and the associated gauge structure are analyzed in detail. The basic concepts involved in the antibracket formalism are elucidated. Gauge-fixing, quantum effects, and anomalies within the field-antifield formalism are developed. The concepts, issues and constructions are illustrated using eight gauge-theory models.

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“…This result was obtained in refs. [263,28,105]. Since our aim is pedagogical, we do not present the proof here.…”

Section: Existence and Uniquenessmentioning

confidence: 99%

“…This result was obtained in refs. [263,28] for the case of an irreducible theory. For a general L-th stage reducible theory, the theorem was proven in ref.…”

Section: Existence and Uniquenessmentioning

confidence: 99%

“…An alternative approach [263,27] uses a function which is a combination of original and transformed fields,…”

Section: The Antibracketmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Antibracket, antifields and gauge-theory quantization

1995

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“…An algebraic approach to the problem, independent of the renormalization scheme, has been proposed in [6]. On the assumption of the existence of an invariant renormalization scheme, extensions to generic, not necessarily power counting renormalizable theories have been considered in [7,8,9,10] and more recently in [11,12].…”

Section: Introductionmentioning

confidence: 99%

Gauge dependence of effective action and renormalization group functions

Barnich

Grassi

2000

Phys. Rev. D

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The Caswell-Wilczek analysis on the gauge dependence of the effective action and the renormalization group functions in Yang-Mills theories is generalized to generic, possibly power counting non renormalizable gauge theories. It is shown that the physical coupling constants of the classical theory can be redefined by gauge parameter dependent contributions of higher orders inh in such a way that the effective action depends trivially on the gauge parameters, while suitably defined physical beta functions do not depend on those parameters.

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