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The variety of consistent "gauging" deformations of supergravity theories in four dimensions depends on the choice of Lagrangian formulation. One important goal is to get the most general deformations without making hidden assumptions.…

High Energy Physics - Theory · Physics 2018-02-14 Marc Henneaux , Bernard Julia , Victor Lekeu , Arash Ranjbar

We propose a reformulation of electrodynamics in terms of a {\it physical} vector potential entirely free of gauge ambiguities. Quantizing the theory leads to a propagator that is gauge invariant by construction in this reformulation, in…

High Energy Physics - Theory · Physics 2010-12-08 Parthasarathi Majumdar , Srijit Bhattacharjee

We consider the Lee-Wick (LW) finite electrodynamics, i.e., the U(1) gauge theory where a (gauge-invariant) dimension-6 operator containing higher-derivatives is added to the free Lagrangian of the U(1) sector. Three bounds on the LW heavy…

High Energy Physics - Theory · Physics 2015-03-17 Antonio Accioly , Patricio Gaete , José Helayël-Neto , Eslley Scatena , Rodrigo Turcati

We continue the study of finite field dependent BRST (FFBRST) symmetry in the quantum theory of gauge fields. An expression for the Jacobian of path integral measure is presented, depending on a finite field-dependent parameter, and the…

High Energy Physics - Theory · Physics 2017-07-20 Pavel Yu. Moshin , Sudhaker Upadhyay , Ricardo A. Castro

SU(2) Yang-Mills field theory is considered in the framework of the generalized Hamiltonian approach and the equivalent unconstrained system is obtained using the method of Hamiltonian reduction. A canonical transformation to a set of…

High Energy Physics - Theory · Physics 2010-11-19 A. M. Khvedelidze , H. -P. Pavel

We consider the constraints on the effective Lagrangian of the rank-one gauge field on D-branes imposed by the equivalence between the description by ordinary gauge theory and that by non-commutative gauge theory in the presence of a…

High Energy Physics - Theory · Physics 2015-06-26 Yuji Okawa

It is proved that in order to keep both the Lagrangian and the motion equation of non-Abelian gauge fields unchanged under the gauge transformation simultaneously, a certain restriction conditions should be established between the gauge…

General Physics · Physics 2007-05-23 Mei Xiaochun

We derive sufficient conditions for theories consisting of multiple vector fields, which could also couple to external fields, to be multi-field generalised Proca theories. The conditions are derived by demanding that the theories have the…

High Energy Physics - Theory · Physics 2024-01-09 Sujiphat Janaun , Pichet Vanichchapongjaroen

Recently a new type of quadratic gauge was introduced in QCD in which the degrees of freedom are suggestive of a phase of abelian dominance. In its simplest form it is also free of Gribov ambiguity. However this gauge is not suitable for…

High Energy Physics - Theory · Physics 2019-08-06 Haresh Raval , Bhabani Prasad Mandal , Urjit A. Yajnik

We suggest an infinite-dimensional extension of the gauge transformations which includes non-Abelian tensor gauge fields. Extended gauge transformations of non-Abelian tensor gauge fields form a new large group which has natural geometrical…

High Energy Physics - Theory · Physics 2009-09-20 G. Savvidy

In the generalized Hamiltonian formalism by Dirac, the method of constructing the generator of local-symmetry transformations for systems with first- and second-class constraints (without restrictions on the algebra of constraints) is…

High Energy Physics - Theory · Physics 2015-06-26 N. P. Chitaia , S. A. Gogilidze , Yu. S. Surovtsev

We consider quantum mechanical gauge theories with sixteen supersymmetries. The Hamiltonians or Lagrangians characterizing these theories can contain higher derivative terms. In the operator approach, we show that the free theory is…

High Energy Physics - Theory · Physics 2009-10-31 Sonia Paban , Savdeep Sethi , Mark Stern

In the context of algebraic renormalization, the extended antifield formalism is used to derive the general forms of the anomaly consistency condition and of the Callan-Symanzik equation for generic gauge theories. A local version of the…

High Energy Physics - Theory · Physics 2016-09-06 Glenn Barnich

The Seiberg-Witten formalism has been realized as an electrodynamics in phase space (associated to the Dirac equation written in phase space) and this fact is explored here with non-abelian gauge group. First, a physically heuristic…

High Energy Physics - Theory · Physics 2019-09-04 J. S. Cruz-Filho , R. G. G. Amorim , F. C. Khanna , A. E. Santana , A. F. Santos , S. C. Ulhoa

We construct higher-derivative gravities with a non-minimally coupled Maxwell field. The Lagrangian consists of polynomial invariants built from the Riemann tensor and the Maxwell field strength in such a way that the equations of motion…

High Energy Physics - Theory · Physics 2016-05-04 Xing-Hui Feng , H. Lu

Podolsky's electromagnetism which explains some of unresolved problems of usual QED has been investigated in the framework of finite field dependent (FFBRST) BRST transformation. In this generalized QED (GQED), BRST invariant effective…

High Energy Physics - Theory · Physics 2018-10-17 Krishnanand Kr. Mishra , Bhabani Prasad Mandal

We derive an effective Abelian gauge theory (EAGT) of a modified SU(2) Yang-Mills theory. The modification is made by explicitly introducing mass terms of the off-diagonal gluon fields into pure SU(2) Yang-Mills theory, in order that…

High Energy Physics - Theory · Physics 2009-11-10 Shinichi Deguchi , Yousuke Kokubo

A 3-dimensional non-abelian gauge theory was proposed by Jackiw and Pi to create mass for the gauge fields. However, the quadratic action obtained by switching off the non-abelian interactions possesses more gauge symmetries than the…

High Energy Physics - Theory · Physics 2009-10-30 O. F. Dayi

We make a systematic development of the non-Abelian formulation of two-form gauge fields with topological coupling with the Yang-Mills one-form connection. An analysis of the gauge structure, reducibility conditions and physical degrees of…

High Energy Physics - Theory · Physics 2007-05-23 R. Amorim , J. Barcelos-Neto

In the available literature, only the Becchi-Rouet-Stora-Tyutin (BRST) symmetries are known for the Jackiw-Pi model of the three (2 + 1)-dimensional (3D) massive non-Abelian gauge theory. We derive the off-shell nilpotent (s_{(a)b}^2 = 0)…

High Energy Physics - Theory · Physics 2014-10-07 S. Gupta , R. Kumar , R. P. Malik