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We suggest an extension of the Yang-Mills theory which includes non-Abelian tensor gauge fields. The invariant Lagrangian is quadratic in the field strength tensors and describes interaction of charged tensor gauge bosons of arbitrary large…

High Energy Physics - Theory · Physics 2009-11-11 G. Savvidy

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

We define a group of extended non-Abelian gauge transformations for tensor gauge fields. On this group one can define generalized field strength tensors, which are transforming homogeneously with respect to the extended gauge…

High Energy Physics - Theory · Physics 2007-05-23 George Savvidy

Recently proposed extension of Yang-Mills theory contains non-Abelian tensor gauge fields. The Lagrangian has quadratic kinetic terms, as well as cubic and quartic terms describing non-linear interaction of tensor gauge fields with the…

High Energy Physics - Theory · Physics 2011-05-09 George Savvidy

In the present paper we shall extend the gauge principle so that it will enlarge the original algebra of the Abelian gauge transformations found earlier in our studies of tensionless strings to the non-Abelian case. In this extension of the…

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

In the recently proposed generalization of the Yang-Mills theory the group of gauge transformation gets essentially enlarged. This enlargement involves an elegant mixture of the internal and space-time symmetries. The resulting group is an…

High Energy Physics - Theory · Physics 2011-01-04 George Savvidy

Using generalized field strength tensors for non-Abelian tensor gauge fields one can explicitly construct all possible Lorentz invariant quadratic forms for rank-4 non-Abelian tensor gauge fields and demonstrate that there exist only two…

High Energy Physics - Theory · Physics 2008-11-26 G. Savvidy , T. Tsukioka

We suggest an extension of the gauge principle which includes tensor gauge fields. In this extension of the Yang-Mills theory the vector gauge boson becomes a member of a bigger family of gauge bosons of arbitrary large integer spins. The…

High Energy Physics - Theory · Physics 2016-05-25 George Savvidy

We construct the theory of non-abelian gauge antisymmetric tensor fields, which generalize the standard Yang-MIlls fields and abelian gauge p-forms. The corresponding gauge group acts on the space of inhomogeneous differential forms and it…

High Energy Physics - Theory · Physics 2008-11-26 S. N. Solodukhin

We generalize classical Yang-Mills theory by extending nonlinear constitutive equations for Maxwell fields to non-Abelian gauge groups. Such theories may or may not be Lagrangian. We obtain conditions on the constitutive equations…

High Energy Physics - Theory · Physics 2011-07-19 Gerald A. Goldin , Vladimir Shtelen

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

For non-Abelian tensor gauge fields of the lower rank we have found an alternative expression for the field strength tensors, which transform homogeneously with respect to the complementary gauge transformations and allow us to construct…

High Energy Physics - Theory · Physics 2008-11-26 Jessica K. Barrett , George Savvidy

We consider extension of some established techniques of study of tensor fields on Lorentzian manifolds of arbitrary dimension to non-Abelian gauge covariant fields. These are then applied to study of gauge fields with vanishing scalar…

General Relativity and Quantum Cosmology · Physics 2020-01-14 Martin Kuchynka

In this article we shall consider the tensor gauge fields which are possible to embed into the existing framework of generalized YM theory and therefore allows to construct the gauge invariant and metric independent forms in 2n+4 and 2n+2…

High Energy Physics - Theory · Physics 2013-07-12 George Georgiou , George Savvidy

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

Recently we introduced an extended vector bundle X on which non-Abelian tensor gauge fields realize a connection. Our aim here is to introduce interaction of these non-Abelian tensor gauge fields with fermions and bosons. We have found that…

High Energy Physics - Theory · Physics 2014-11-18 George Savvidy

The Lagrangian of non-Abelian tensor gauge fields describes the interaction of the Yang-Mills and massless tensor bosons of increasing helicities. We have found a metric-independent gauge invariant density which is a four-dimensional analog…

High Energy Physics - Theory · Physics 2020-10-27 George Savvidy

A basic problem of classical field theory, which has attracted growing attention over the past decade, is to find and classify all nonlinear deformations of linear abelian gauge theories. The first part of this paper summarizes and…

Mathematical Physics · Physics 2015-06-26 Stephen C. Anco

An ansatz is presented for a possible non-associative deformation of the standard Yang-Mills type gauge theories. An explicit algebraic structure for the deformed gauge symmetry is put forward and the resulting gauge theory developed. The…

High Energy Physics - Theory · Physics 2011-08-17 A. Ritz , G. C. Joshi

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 central…

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