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Supersymmetric Yang-Mills theories can be characterized by a non-local and non-linear transformation of the bosonic fields (Nicolai map) mapping the interacting functional measure to that of a free theory, such that the Jacobi determinant…

High Energy Physics - Theory · Physics 2021-06-16 Hannes Malcha , Hermann Nicolai

The finite field dependent BRST (FFBRST) technique generally interrelates two different gauge fixed theories. Here we propose a new and unique FFBRST transformation that transforms the effective theory in Lorenz gauge, which represents…

High Energy Physics - Theory · Physics 2022-06-13 Haresh Raval , Bhabani Prasad Mandal

We find two different q-generalizations of Yang-Mills theories. The corresponding lagrangians are invariant under the q-analogue of infinitesimal gauge transformations. We explicitly give the lagrangian and the transformation rules for the…

High Energy Physics - Theory · Physics 2009-10-22 Leonardo Castellani

We propose a superfield formalism of Lagrangian BRST-antiBRST quantization of arbitrary gauge theories in general coordinates with the base manifold of fields and antifields desribed in terms of both bosonic and fermionic variables.

High Energy Physics - Theory · Physics 2009-11-10 B. Geyer , D. M. Gitman , P. M. Lavrov , P. Yu. Moshin

We consider Yang-Mills theory in a general class of Abelian gauges. Exploiting the residual Abelian symmetry on a quantum level, we derive a set of Ward identities in functional form, valid to all orders in perturbation theory. As a…

High Energy Physics - Theory · Physics 2009-10-30 M. Quandt , H. Reinhardt

We present an extension of previous results (hep-th/0105215)on the quantization of general gauge theories within the BRST-antBRST invatiant Lagrangian scheme in general coordinates, namely, we consider the case when the base manifold of…

High Energy Physics - Theory · Physics 2014-11-18 B. Geyer , P. M. Lavrov

In the BRST-BFV scheme for noncommutative D-branes with constant NS $B$-field, introducing ghost degrees of freedom we construct the gauge fixed Hamiltonian and corresponding effective Lagrangian invariant under nilpotent BRST charge. It is…

High Energy Physics - Theory · Physics 2007-05-23 Soon-Tae Hong

The gauge structure of the four dimensional effective theory (4DET) arising from a pure Yang-Mills theory in five dimensions compactified on the orbifold $S^1/Z_2$ is reexamined on the basis of the BRST symmetry. The two scenarios that can…

High Energy Physics - Phenomenology · Physics 2011-01-18 H. Novales-Sánchez , J. J. Toscano

How can we relate the constraint structure and constraint dynamics of the general gauge theory in the Hamiltonian formulation with specific features of the theory in the Lagrangian formulation, especially relate the constraint structure…

High Energy Physics - Theory · Physics 2009-11-10 D. M. Gitman , I. V. Tyutin

It is shown that the gauge invariance and gauge dependence properties of effective action for Yang-Mills theories should be considered as two independent issues in the background field formalism. Application of this formalism to formulate…

High Energy Physics - Theory · Physics 2019-05-01 Peter M. Lavrov

We consider the Hamiltonian and Lagrangian embedding of a first-order, massive spin-one, gauge non-invariant theory involving anti-symmetric tensor field. We apply the BFV-BRST generalised canonical approach to convert the model to a first…

High Energy Physics - Theory · Physics 2009-11-07 E. Harikumar , M. Sivakumar

We demonstrate the discrete duality symmetry between the Abelian 1-form and 2-form basic gauge fields in the context of a three $(2 + 1)$-dimensional ($3D$) combined system of the field-theoretic model of the free Abelian 1-from and 2-form…

High Energy Physics - Theory · Physics 2025-08-22 R. Kumar , R. P. Malik

Most of the known models describing the fundamental interactions have a gauge freedom. In the standard path integral, it is necessary to "fix the gauge" in order to avoid integrating over unphysical degrees of freedom. Gauge independence…

High Energy Physics - Theory · Physics 2007-05-23 Andrea Fuster , Marc Henneaux , Axel Maas

We study field models for which a quantum action (i.e. the action appearing in the generating functional of Green functions) is invariant under supersymmetric transformations. We derive the Ward identity which is direct consequence of this…

High Energy Physics - Theory · Physics 2015-06-18 S. R. Esipova , P. M. Lavrov , O. V. Radchenko

We introduce and study a new class of power-counting non-renormalisable gauge theories in four space-time dimensions. The Lagrangian is an arbitrary function of the self-dual part of the field strength. The resulting perturbation theory has…

High Energy Physics - Theory · Physics 2015-09-23 Marco Cofano , Chih-Hao Fu , Kirill Krasnov

Gauge theories have been a cornerstone of the description of the world at the level of the fundamental particles. The Lagrangian or the action describing the corresponding interactions is invariant under certain gauge transformations. This…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Bashir , A. Raya

A framework for background independent open-string field theory is proposed. The approach involves using the BV formalism -- in a way suggested by recent developments in closed-string field theory -- to implicitly define a gauge invariant…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

In our previously published papers, it was proved that the chromodynamics with massive gluons can well be set up on the gauge-invariance principle. The quantization of the chromodynamics was perfectly performed in the both of Hamiltonian…

High Energy Physics - Theory · Physics 2007-05-23 Jun-Chen Su , Hai-Jun Wang

In this paper we study the gauge invariance of the third quantized super-group field cosmology which is a model for multiverse. Further, we propose both the nfinitesimal (usual) as well as the finite superfield-dependent BRST symmetry…

General Relativity and Quantum Cosmology · Physics 2015-05-15 Sudhaker Upadhyay

We apply the BRST approach, previously developed for higher spin field theories, to gauge invariant Lagrangian construction for antisymmetric massive and massless bosonic fields in arbitrary d-dimensional curved space. The obtained theories…

High Energy Physics - Theory · Physics 2009-03-31 I. L. Buchbinder , V. A. Krykhtin , L. L. Ryskina