A systematic study of finite BRST-BV transformations in field–antifield formalism

Batalin, I. A.; Лавров, П. М.; Tyutin, I. V.

doi:10.1142/s0217751x14501668

Cited by 25 publications

(35 citation statements)

References 37 publications

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“…The Jacobian can be calculated explicitly, following the receipt [62, [66][67][68][69][70] and also by using the Green's function method [73]. The latter approach, using t-rescaled parameters t α (4) and the inverse (formal) transformationsg −1 ( (q)):…”

Section: Generalized Susy Transformationsmentioning

confidence: 99%

Comments on interactions in the SUSY models

2016

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We consider special supersymmetry (SUSY) transformations with m generators ← − s α , for some class of models and study the physical consequences when making the Grassmann-odd transformations to form an Abelian supergroup with finite parameters and a set of group-like elements with finite parameters being functionals of the field variables. The SUSY-invariant path integral measure within conventional quantization scheme leads to the appearance of the Jacobian under a change of variables generated by such SUSY transformations, which is explicitly calculated. The Jacobian implies, first of all, the appearance of trivial interactions in the transformed action, and, second, the presence of a modified Ward identity which reduces to the standard Ward identities in the case of constant parameters. We examine the case of the N = 1 and N = 2 supersymmetric harmonic oscillators to illustrate the general concept by a simple free model with (1, 1) physical degrees of freedom. It is shown that the interaction terms U tr have a corresponding SUSYexact form:← − s ← − s generated naturally under such generalized formulation. We argue that the case of a non-trivial interaction cannot be obtained in such a way.

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Section: Generalized Susy Transformationsmentioning

confidence: 99%

Comments on interactions in the SUSY models

2016

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“…3 Sp(2) EXTENDED BRST-BV GENERATORS AND THEIR ALGEBRA Now let us define the (left) Sp(2) extended BRST-BV generators by 2) and that the generators (3.1) satisfy the algebra…”

Section: Standard Formulation and Sp(2) Differential For Fieldsmentioning

confidence: 99%

“…In the previous articles [1,2,3] systematic studies of the role of finite field dependent BRST transformations have been conducted in various types of quantization formalisms. Firstly, this was done in the framework of the standard generalized Hamiltonian BFV formalism [1], as well as in its Sp(2) extended counterpart [3].…”

Section: Introductionmentioning

confidence: 99%

“…Firstly, this was done in the framework of the standard generalized Hamiltonian BFV formalism [1], as well as in its Sp(2) extended counterpart [3]. Secondly, a similar study was performed in the framework of the standard Lagrangian field-antifield BV formalism [2]. The main result in all cases is that the Jacobian of a finite field dependent BRST transformation is capable of reproducing an arbitrary finite change of the gauge-fixing function in the corresponding path integral.…”

Section: Introductionmentioning

confidence: 99%

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A systematic study of finite field-dependent BRST-BV transformations in Sp(2) extended field–antifield formalism

Batalin

Беринг

Лавров

et al. 2014

Int. J. Mod. Phys. A

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“…Shortly after the publication of the present work, we have become aware of the more recent study[45] of finite BRST transformations in the BV formalism 11. We have solved this problem in detail[46], including the case of Yang-Mills theories.…”

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confidence: 99%

Field-dependent BRST–antiBRST transformations in Yang–Mills and Gribov–Zwanziger theories

Moshin

Reshetnyak

2014

Nuclear Physics B

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We introduce the notion of finite BRST-antiBRST transformations, both global and field-dependent, with a doublet λ a , a = 1, 2, of anticommuting Grassmann parameters and find explicit Jacobians corresponding to these changes of variables in Yang-Mills theories. It turns out that the finite transformations are quadratic in their parameters. At the same time, exactly as in the case of finite field-dependent BRST transformations for the Yang-Mills vacuum functional, special field-dependent BRST-antiBRST transformations, with s a -potential parameters λ a = s a Λ induced by a finite even-valued functional Λ and by the anticommuting generators s a of BRST-antiBRST transformations, amount to a precise change of the gaugefixing functional. This proves the independence of the vacuum functional under such BRST-antiBRST transformations. We present the form of transformation parameters that generates a change of the gauge in the path integral and evaluate it explicitly for connecting two arbitrary R ξ -like gauges. For arbitrary differentiable gauges, the finite field-dependent BRST-antiBRST transformations are used to generalize the Gribov horizon functional h, given in the Landau gauge, and being an additive extension of the YangMills action by the Gribov horizon functional in the Gribov-Zwanziger model. This generalization is achieved in a manner consistent with the study of gauge independence. We also discuss an extension of finite BRST-antiBRST transformations to the case of general gauge theories and present an ansatz for such transformations.

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A systematic study of finite BRST-BV transformations in field–antifield formalism

Cited by 25 publications

References 37 publications

Comments on interactions in the SUSY models

Comments on interactions in the SUSY models

A systematic study of finite field-dependent BRST-BV transformations in Sp(2) extended field–antifield formalism

Field-dependent BRST–antiBRST transformations in Yang–Mills and Gribov–Zwanziger theories

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