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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

This paper follows the previous work on generalized abelian gauge field theory of higher-order derivatives under rotor model and extends the study to the most generalized non-abelian case. We find that the rotor mechanism from the abelian…

General Physics · Physics 2022-04-11 B. T. T. Wong

Gauge symmetries remove unphysical states and guarantee that field theories are free from the pathologies associated with these states. In this work we find a set of general conditions that guarantee the removal of unphysical states in…

High Energy Physics - Theory · Physics 2021-07-29 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay , Gerardo García-Moreno

Lie algebroid Yang-Mills theories are a generalization of Yang-Mills gauge theories, replacing the structural Lie algebra by a Lie algebroid E. In this note we relax the conditions on the fiber metric of E for gauge invariance of the action…

High Energy Physics - Theory · Physics 2009-11-09 Christoph Mayer , Thomas Strobl

We quantize pure 2d Yang-Mills theory on an arbitrary Riemann surface in the gauge where the field strength is diagonal. Twisted sectors originate, as in Matrix string theory, from permutations of the eigenvalues around homotopically…

High Energy Physics - Theory · Physics 2009-10-31 M. Billo' , A D'Adda , P. Provero

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

The well-known Yang-Mills theory with one $ S^{1} / Z_{2}$ universal extra dimension (UED) is generalized to an arbitrary number of spatial extra dimensions through a novel compactification scheme. In this paper, the Riemannian flat based…

High Energy Physics - Theory · Physics 2015-02-04 M. A. López-Osorio , E. Martínez-Pascual , H. Novales-Sánchez , J. J. Toscano

The natural constraints for the weak-field approximation to composite gravity, which is obtained by expressing the gauge vector fields of the Yang-Mills theory based on the Lorentz group in terms of tetrad variables and their derivatives,…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Hans Christian Öttinger

We solve a generalization of ordinary N=1 super Yang-Mills theory with gauge group U(N) and an adjoint chiral multiplet X for which we turn on both an arbitrary tree-level superpotential term \int d^{2}\theta Tr W(X) and an arbitrary…

High Energy Physics - Theory · Physics 2009-04-03 Frank Ferrari

A complexification of the twisted $\N=2$ theory allows one to determine the N=4 Yang--Mills theory in its third twist formulation. The imaginary part of the gauge symmetry is used to eliminate two scalars fields and create gauge covariant…

High Energy Physics - Theory · Physics 2009-10-06 Laurent Baulieu

We generalize the gradient flow equation for field theories with nonlinearly realized symmetry. Applying the formalism to super Yang-Mills theory, we construct a supersymmetric extension of the gradient flow equation. It can be shown that…

High Energy Physics - Theory · Physics 2015-06-22 Kengo Kikuchi , Tetsuya Onogi

We consider the global aspects of the 6-dimensional $\mathcal{N}=(1, 0)$ theory arising from the coupling of the vector multiplet to the tensor multiplet. We show that the Yang-Mills field and its dual, when both are abelianized, combine to…

High Energy Physics - Theory · Physics 2019-08-23 Hisham Sati

In their 1954 paper, Yang and Mills invented the non-Abelian field strength to satisfy certain criteria but didn't explain how it could be derived. In the penultimate section we show how the Yang-Mills field strength derives from Yang's…

History and Philosophy of Physics · Physics 2012-10-04 Samuel Marateck

We introduce \emph{normalized exponential Yang-Mills energy functional} $\mathcal{YM}_e^0$, stress-energy tensor $S_{e,\mathcal{YM}^0 }$ associated with the normalized \emph{exponential Yang-Mills energy functional} $\mathcal{YM}_e ^0 $,…

Differential Geometry · Mathematics 2022-05-09 Shihshu Walter Wei

We give a new description of classical Yang-Mills theory by coupling a two-dimensional chiral CFT (which gives the tree-level S-matrix of Yang-Mills theory at genus zero) to a background non-abelian gauge field. The resulting model is…

High Energy Physics - Theory · Physics 2018-10-31 Tim Adamo , Eduardo Casali , Stefan Nekovar

We present some classical properties for non-abelian Yang-Mills theories that we extract directly from the Maxwell's equations of the theory. We write the equations of motion for the SU(3) Yang-Mills theory using the language of Maxwell's…

High Energy Physics - Phenomenology · Physics 2011-03-28 J. A. Sanchez-Monroy , C. Quimbay

We analyze a recent proposal to map a massless scalar field theory onto a Yang-Mills theory at classical level. It is seen that this mapping exists at a perturbative level when the expansion is a gradient expansion. In this limit the…

Mathematical Physics · Physics 2009-10-20 Marco Frasca

The extended Yang-Mills gauge theory in Euclidean space is a renormalizable (by power counting) gauge theory describing a local interacting theory of scalar, vector, and tensor gauge fields (with maximum spin 2). In this article we study…

High Energy Physics - Theory · Physics 2011-07-19 E. Gabrielli

It is known that Yang-Mills theories on non-commutative space can be derived from large-N reduced models. Gauge fields in non-commutative Yang-Mills theories can be described as fluctuations of matrices expanded about an appropriate…

High Energy Physics - Theory · Physics 2008-11-26 Takeshi Morita

We revisit an old idea that gravity can be unified with Yang-Mills theory by enlarging the gauge group of gravity formulated as gauge theory. Our starting point is an action that describes a generally covariant gauge theory for a group G.…

High Energy Physics - Theory · Physics 2010-04-14 Alexander Torres-Gomez , Kirill Krasnov