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We show that the spontaneous compactification of the Abelian and non-Abelian two-form gauge field theories from $D=4+1$ to $D=3+1$ leads to the same theories plus the Maxwell and Yang-Mills ones, respectively. The vector potential comes…

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

A non-abelian ``self-dual'' massive gauge theory describing a massive spin one physical mode is presented. The action is expressed in terms of two independent connections on a principle bundle over $2+1$ space-time. The kinetic terms are…

High Energy Physics - Theory · Physics 2014-11-18 P. J. Ariasa , L. Leal , A. Restuccia

A novel inhomogeneous gauge transformation law is proposed for a non-Abelian adjoint two-form in four dimensions. Rules for constructing actions invariant under this are given. The auxiliary vector field which appears in some of these…

High Energy Physics - Theory · Physics 2009-11-07 Amitabha Lahiri

We generalize the usual gauge transformations connected with the 1-form gauge potential to the Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the four (3+1)-dimensional (4D) topologically massive non-Abelian…

High Energy Physics - Theory · Physics 2011-04-01 R. Kumar , R. P. Malik

We propose a generalizing gauge-invariant model of propagating torsion which couples to the Maxwell field and to charged particles. As a result we have an Abelian gauge invariant action which leads to a theory with nonzero torsion and which…

General Relativity and Quantum Cosmology · Physics 2015-05-04 R. Fresneda , M. C. Baldiotti , T. S. Pereira

The dual Meissner effect is observed without monopoles in quenched SU(2) QCD with Landau gauge-fixing. Abelian as well as non-Abelian electric fields are squeezed. Magnetic displacement currents which are time-dependent Abelian magnetic…

High Energy Physics - Lattice · Physics 2009-11-10 Tsuneo Suzuki , Katsuya Ishiguro , Yoshihiro Mori , Toru Sekido

Quantum field theories with global symmetries simplify considerably in the large-charge limit allowing to compute correlators via a semiclassical expansion in the inverse powers of the conserved charges. A generalization of the approach to…

High Energy Physics - Theory · Physics 2023-01-27 Oleg Antipin , Alexander Bednyakov , Jahmall Bersini , Pantelis Panopoulos , Andrey Pikelner

The random vector potential model describes massless fermions coupled to a quenched random gauge field. We study its abelian and non-abelian versions. The abelian version can be completely solved using bosonization. We analyse the…

High Energy Physics - Theory · Physics 2008-11-26 Denis Bernard

Gauge theories, while describing fundamental interactions in nature, also emerge in a wide variety of physical systems. Abelian gauge fields have been predicted and observed in a number of novel quantum many-body systems, topological…

Mesoscale and Nanoscale Physics · Physics 2016-06-02 T. Li , L. A. Yeoh , A. Srinivasan , O. Klochan , D. A. Ritchie , M. Y. Simmons , O. P. Sushkov , A. R Hamilton

The effects of extra space-time dimensions on the Wilsonian effective K\"ahler potential and the perturbative one loop effective K\"ahler potential are determined within the framework of an Abelian gauge theory with N=2 supersymmetric field…

High Energy Physics - Theory · Physics 2016-08-25 T. E. Clark , S. T. Love

We consider two-dimensional N=(2,2) supersymmetric gauge theory on discretized Riemann surfaces. We find that the discretized theory can be efficiently described by using graph theory, where the bosonic and fermionic fields are regarded as…

High Energy Physics - Theory · Physics 2022-06-28 Kazutoshi Ohta , So Matsuura

We study macroscopically two dimensional $\mathcal{N}=(2,2)$ supersymmetric gauge theories constructed by compactifying the quiver gauge theories with eight supercharges on a product $\mathbb{T}^{d} \times \mathbb{R}^{2}_{\epsilon}$ of a…

High Energy Physics - Theory · Physics 2013-12-25 Nikita Nekrasov , Vasily Pestun , Samson Shatashvili

The local action of an SU(2) gauge theory in general covariant Abelian gauges and the associated equivariant BRST symmetry that guarantees the perturbative renormalizability of the model are given. I show that a global SL(2,R) symmetry of…

High Energy Physics - Theory · Physics 2007-05-23 Martin Schaden

We present a gauge formulation of the special affine algebra extended to include an antisymmetric tensorial generator belonging to the tensor representation of the special linear group. We then obtain a Maxwell modified metric affine…

High Energy Physics - Theory · Physics 2021-10-27 Oktay Cebecioğlu , Salih Kibaroğlu

In the generalized Schwinger model the vector and axial vector currents are linearly coupled, with arbitrary coefficients, to the gauge connection. Therefore it represents an interesting example of a theory where both gauge anomalies and…

High Energy Physics - Theory · Physics 2007-05-23 R. Amorim , N. R. F. Braga , R. Thibes

The canonical quantization on a single light front is performed for the Abelian gauge fields with the Weyl gauge coupled with fermion field currents. The analysis is carried separately for 1+1 dimensions and for higher dimensions. The Gauss…

High Energy Physics - Theory · Physics 2007-05-23 Jerzy A. Przeszowski

Gauge field theory is developed in the framework of scale relativity. In this theory, space-time is described as a non-differentiable continuum, which implies it is fractal, i.e., explicitly dependent on internal scale variables. Owing to…

High Energy Physics - Theory · Physics 2009-11-11 Laurent Nottale , Marie-Noëlle Célérier , Thierry Lehner

F-theory compactified on a Calabi-Yau fourfold naturally describes non-Abelian gauge symmetries through the singularity structure of the elliptic fibration. In contrast Abelian symmetries are more difficult to study because of their…

High Energy Physics - Theory · Physics 2015-05-28 Thomas W. Grimm , Max Kerstan , Eran Palti , Timo Weigand

Suggested non-linear, non-gauge modification of the Maxwell theory of electromagnetism based on correlation between electromagnetic potential, $A_a$, and metric, $g_{ab}$, such that tensor $G_{ab} = g_{ab} - l^2{A}_a{A}_b$ represents…

General Physics · Physics 2007-05-23 Dmitriy Palatnik

We show that a U(1) gauge theory defined in the configuration space for closed p-branes yields the gauge theory of a massless rank-(p+1) antisymmetric tensor field and the Stueckelberg formalism for a massive vector field.

High Energy Physics - Theory · Physics 2016-09-06 Shinichi Deguchi , Tadahito Nakajima , Hideomi Totsuka Atomic