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A Lagrangian formulation is given extending to N = 1 supersymmetry the motion of a charged point particle with spin in a non-abelian external field. The classical formulation is constructed for any external static non-abelian SU(N) gauge…

High Energy Physics - Theory · Physics 2017-02-10 Michaël Fanuel , Jan Govaerts , Gabriel Y. H. Avossevou , Anselme F. Dossa

The Hamiltonian (gauge) symmetry generators of non-local (gauge) theories are presented. The construction is based on the d+1 dimensional space-time formulation of d dimensional non-local theories. The procedure is applied to U(1)…

High Energy Physics - Theory · Physics 2009-10-31 Joaquim Gomis , Kiyoshi Kamimura , Toni Mateos

In this letter we argue that instanton-dominated Green's functions in N=2 Super Yang-Mills theories can be equivalently computed either using the so-called constrained instanton method or making reference to the topological twisted version…

High Energy Physics - Theory · Physics 2009-10-31 D. Bellisai , F. Fucito , A. Tanzini , G. Travaglini

We determine the equations which govern the gauge symmetries of worldsheets with local supersymmetry of arbitrary rank $(N,N')$, and their possible anomalies. Both classical and ghost conformally invariant multiplets of the left or right…

High Energy Physics - Theory · Physics 2009-10-30 Laurent Baulieu , Nobuyoshi Ohta

In this letter a new gauge invariant, metric independent action is introduced from which Witten's Topological Quantum Field Theory may be obtained after gauge fixing using standard BRST techniques. In our model the BRST algebra of…

High Energy Physics - Theory · Physics 2009-10-28 R. Gianvittorio , A. Restuccia , J. Stephany

The local BRST cohomology is computed in old and new minimal supergravity, including the coupling to Yang-Mills gauge multiplets. This covers the determination of all gauge invariant local actions for these models, the classification of all…

High Energy Physics - Theory · Physics 2009-10-30 Friedemann Brandt

Effective Lagrangians containing arbitrary interactions of massive vector fields are quantized within the Hamiltonian path integral formalism. It is proven that correct Hamiltonian quantization of these models yields the same result as…

High Energy Physics - Phenomenology · Physics 2009-10-22 Carsten Grosse-Knetter

We derive the superconformal transformation properties of the supercurrent for N=1 supersymmetric QED in four dimensions within the superfield formalism. Superconformal Ward identities for Green functions involving insertions of the…

High Energy Physics - Theory · Physics 2009-10-31 J. Erdmenger , C. Rupp , K. Sibold

Equations of motion for free higher-spin gauge fields of any symmetry can be formulated in terms of linearised curvatures. On the other hand, gauge invariance alone does not fix the form of the corresponding actions which, in addition,…

High Energy Physics - Theory · Physics 2015-05-18 Dario Francia

Using a superfield formulation of extended phase space, we propose a new form of the Hamiltonian action functional. A remarkable feature of this construction is that it directly leads to the BV master action on phase space. Conversely,…

High Energy Physics - Theory · Physics 2009-10-31 M. Grigoriev , P. H. Damgaard

According to the conventional concept of the gauge field theory, the local gauge invariance excludes the possibility of giving a mass to the gauge boson without resorting to the Higgs mechanism because the Lagrangian constructed by adding a…

High Energy Physics - Theory · Physics 2007-05-23 Jun-chen Su

In the framework of started in Ref.[1] construction procedure of the general superfield quantization method for gauge theories in Lagrangian formalism the rules for Hamiltonian formulation of general superfield theory of fields (GSTF) are…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Reshetnyak

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

In this paper we analyse the Bagger-Lambert-Gustavsson (BLG) theory in $\mathcal{N} =1$ superspace. Furthermore, we will construct the BRST transformations for this theory. These BRST transformations will be integrated out to obtain the…

High Energy Physics - Theory · Physics 2015-06-12 Mir Faizal , Bhabani P Mandal , Sudhaker Upadhyay

The relation between the gauge-invariant local BRST cohomology involving the antifields and the gauge-fixed BRST cohomology is clarified. It is shown in particular that the cocycle conditions become equivalent once it is imposed, on the…

High Energy Physics - Theory · Physics 2009-10-31 Glenn Barnich , Marc Henneaux , Tobias Hurth , Kostas Skenderis

The unfree gauge symmetry implies that gauge variation of the action functional vanishes provided for the gauge parameters are restricted by the differential equations. The unfree gauge symmetry is shown to lead to the global conserved…

High Energy Physics - Theory · Physics 2021-12-14 V. A. Abakumova , I. Yu. Karataeva , S. L. Lyakhovich

In the framework of superfield formalism, we discuss some aspects of the cohomological features of a two (1+1)-dimensional free Abelian gauge theory described by a Becchi-Rouet-Stora-Tyutin (BRST) invariant Lagrangian density. We…

High Energy Physics - Theory · Physics 2008-11-26 R. P. Malik

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

We discuss some aspects of the topological features of a non-interacting two (1+1)-dimensional Abelian gauge theory in the framework of superfield formalism. This theory is described by a BRST invariant Lagrangian density in the Feynman…

High Energy Physics - Theory · Physics 2008-11-26 R. P. Malik

Using superspace unitary operator formalism, we derive various (anti-)BRST symmetry transformations explicitly for the non-Abelian 2-form gauge theories. We introduce a new Lagrangian with a coupling of matter fields not only with 1-from…

High Energy Physics - Theory · Physics 2018-03-14 Dheeraj Shukla , Kuldeep Kumar