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Using the Non-Abelian Batalin-Vilkovisky formalism introduced recently, we present a generalization of the Yang-Mills gauge transformations , to include antisymmetric tensor fields as gauge bosons. The Freedman-Townsend transformation for…

High Energy Physics - Theory · Physics 2007-05-23 Jorge Alfaro

We suggest an extension of the gauge principle which includes tensor gauge fields. The extended non-Abelian gauge transformations of the tensor gauge fields form a new large group. On this group one can define field strength tensors, which…

High Energy Physics - Theory · Physics 2009-11-11 George Savvidy

In conventional gauge theory, a charged point particle is described by a representation of the gauge group. If we propagate the particle along some path, the parallel transport of the gauge connection acts on this representation. The…

High Energy Physics - Theory · Physics 2008-11-26 Hendryk Pfeiffer

We clarify the physical origin of the difference between gauge properties of conserved currents in abelian and nonabelian theories. In the latter, but not in the former, such currents can always be written on shell as gauge invariants…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , M. Henneaux

The problem of understanding the role of large gauge transformations in thermal field theories has recently inspired a number of studies of a one dimensional field theory. Such work has led to the conclusion that gauge invariance is…

High Energy Physics - Theory · Physics 2007-05-23 C. R. Hagen

Nonlinear Doebner-Goldin [Phys. Rev. A 54, 3764 (1996)] gauge transformations (NGT) defined in terms of a wave function $\psi(x)$ do not form a group. To get a group property one has to consider transformations that act differently on…

Quantum Physics · Physics 2009-10-30 Marek Czachor

We consider a U(1) x SU(2) gauge theory on the four-dimensional manifold S^1 x S^3. If we make the assumption that only gauge transformations connected to the identity are allowed, the winding numbers of U(1) around S^1 and of SU(2) around…

High Energy Physics - Phenomenology · Physics 2016-09-06 Stefan Weinzierl

The possibility of non-trivial representations of the gauge group on wavefunctionals of a gauge invariant quantum field theory leads to a generation of mass for intermediate vector and tensor bosons. The mass parameters "m" show up as…

High Energy Physics - Theory · Physics 2009-10-31 M. Calixto , V. Aldaya

The formulation of a grand unified field theory based on the nonlinearly realized SU(5) gauge group is presented. The tree-level action is constructed by requiring invariance under local left SU(5) gauge transformations, the existence of a…

High Energy Physics - Phenomenology · Physics 2012-10-05 Daniele Bettinelli , Ruggero Ferrari , Alessandro Sanzeni

This paper investigates the non-commutative version of the Abelian Higgs model at the one loop level. We find that the BRST invariance of the theory is maintained at this order in perturbation theory, rendering the theory one-loop…

High Energy Physics - Theory · Physics 2009-11-07 Frank J. Petriello

Systems of interacting charges and fields are ubiquitous in physics. Recently, it has been shown that Hamiltonians derived using different gauges can yield different physical results when matter degrees of freedom are truncated to a few…

Quantum Physics · Physics 2021-02-26 Dominic M. Rouse , Brendon W. Lovett , Erik M. Gauger , Niclas Westerberg

We investigate the invertible and non-invertible symmetries of topological finite-group gauge theories in general spacetime dimensions, where the gauge group can be abelian or non-abelian. We focus in particular on the 0-form symmetry. The…

Strongly Correlated Electrons · Physics 2025-01-22 Clay Cordova , Davi B. Costa , Po-Shen Hsin

For non-Abelian tensor gauge fields we have found an alternative form of duality transformation, which has the property that the direct and the inverse transformations coincide. This duality transformation has the desired property that the…

High Energy Physics - Theory · Physics 2008-11-26 Sebastian Guttenberg , George Savvidy

By explicit calculation of the effect of a ghost-dependent canonical transformation of BRST-charge, we derive the corresponding transformation law for structure coefficients of hamiltonian gauge algebra under rotation of constraints.We show…

High Energy Physics - Theory · Physics 2010-11-05 Igor Batalin , Igor Tyutin

We consider the dynamics of a charged particle in a space whose coordinates are $N\times N$ hermitian matrices. Putting things in the framework of D0-branes of String Theory, we mention that the transformations of the matrix coordinates…

High Energy Physics - Theory · Physics 2009-01-07 Amir H. Fatollahi

The divergence structure of non-commutative gauge field theories (NCGFT) with a Slavnov extension is examined at one-loop level with main focus on the gauge boson self-energy. Using an interpolating gauge we show that even with this…

High Energy Physics - Theory · Physics 2009-11-11 D. N. Blaschke , S. Hohenegger , M. Schweda

A method for implementing non-Abelian duality on string backgrounds is given. It is shown that a direct generalisation of the familiar Abelian duality induces an extra local symmetry in the gauge invariant theory. The non-Abelian isometry…

High Energy Physics - Theory · Physics 2009-10-28 Noureddine Mohammedi

Gauge theories are formulated on the noncommutative two-sphere. These theories have only finite number of degrees of freedom, nevertheless they exhibit both the gauge symmetry and the SU(2) "Poincar\'e" symmetry of the sphere. In…

High Energy Physics - Theory · Physics 2009-10-30 C. Klimcik

We consider a variant of the charge-Q compact Abelian-Higgs model, in which an Nf-dimensional complex vector is coupled with an Abelian Z_q gauge field. For Nf=2 and Q=1 we observe several transition lines that belong to the O(4), O(3), and…

High Energy Physics - Lattice · Physics 2023-04-26 Giacomo Bracci-Testasecca , Andrea Pelissetto

Formulating gauge theories for gauge groups admitting a continuous center can require to include charged scalars to define a gauge-coupling function. We show that the gauge-fields in the center can be dualized into form-fields of…

High Energy Physics - Theory · Physics 2015-09-16 Thomas W. Grimm , Diego Regalado