scholarly journals Visible and hidden sectors in a model with Maxwell and Chern–Simons gauge dynamics

2016 ◽  
Vol 31 (34) ◽  
pp. 1650178 ◽  
Author(s):  
Edwin Ireson ◽  
Fidel A. Schaposnik ◽  
Gianni Tallarita
Keyword(s):  
Gauge Fields ◽  
Field Equations ◽  
Supersymmetric Extension ◽  
Abelian Gauge ◽  
Supersymmetric Version ◽  
Vortex Solutions ◽  
Set Up ◽  
Higgs Portal ◽  
Chern Simons ◽  
Two Sectors

We study a [Formula: see text] gauge theory discussing its vortex solutions and supersymmetric extension. In our set-up, the dynamics of one of two Abelian gauge fields is governed by a Maxwell term, the other by a Chern–Simons term. The two sectors interact via a BF gauge field mixing and a Higgs portal term that connects the two complex scalars. We also consider the supersymmetric version of this system which allows to find for the bosonic sector BPS equations in which an additional real scalar field enters into play. We study numerically the field equations finding vortex solutions with both magnetic flux and electric charge.

FERMI-BOSE TRANSMUTATIONS INDUCED BY GAUGE FIELDS

1988 ◽  
Vol 01 (11n12) ◽  
pp. 455-455 ◽  
Author(s):  
A.M. POLYAKOV
Keyword(s):  
Gauge Theory ◽  
Charged Particles ◽  
Gauge Fields ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Chern Simons

We show that in (2+1) -dimensional abelian gauge theory with the Chern-Simons term in the action, charged particles reverse their statistics.

Phenomenological properties of unoriented D-brane models

2007 ◽  
Vol 22 (31) ◽  
pp. 5808-5818 ◽  
Author(s):  
Pascal Anastasopoulos
Keyword(s):  
Standard Model ◽  
Gauge Fields ◽  
Abelian Gauge ◽  
The Standard Model ◽  
Brane Models ◽  
Chern Simons

D -brane realizations of the Standard Model predict extra abelian gauge fields which are superficially anomalous. The anomalies are cancelled via appropriate couplings to axions and Chern-Simons-like couplings. The presence of such couplings has dramatic experimental consequences: a) they provide masses to the anomalous abelian gauge fields (which masses can be of order of a few TeV), b) they provide new contributions to couplings like Z '-¿ gamma Z , that may be considerable at LHC. This proceeding is mainely based on hep-th/0605225.

scholarly journals Aspects of Screening and Confinement in a Topologically MassiveU1W×U(1)YChern-Simons-Higgs Theory

2016 ◽  
Vol 2016 ◽  
pp. 1-9
Author(s):  
Patricio Gaete ◽  
José A. Helayël-Neto
Keyword(s):  
Effective Model ◽  
Gauge Fields ◽  
Static Charge ◽  
Abelian Gauge ◽  
Massless Field ◽  
First Case ◽  
Dependent Variables ◽  
Path Dependent ◽  
The Impact ◽  
Chern Simons

By using the gauge-invariant but path-dependent variables formalism, we consider a recently proposed topologically massiveU1W×U(1)YChern-Simons-Higgs theory in2+1dimensions. In particular, we inspect the impact of a Chern-Simons mixing term between two Abelian gauge fields on physical observables. We pursue our investigation by analyzing the model in two different situations. In the first case, where we integrate the massive excitation and consider an effective model for the massless field, we show that the interaction energy contains a linear term leading to the confinement of static charge probes along with a screening contribution. In the second situation, where the massless field can be exactly integrated with its constraint duly taken into account, the interesting feature is that the resulting effective model describes a purely screening phase, without any trace of a confining regime.

scholarly journals PARTICLE SPECTRUM OF NON-ABELIAN TENSOR GAUGE FIELDS

2010 ◽  
Vol 25 (14) ◽  
pp. 1137-1161 ◽  
Author(s):  
GEORGE SAVVIDY
Keyword(s):  
Gauge Field ◽  
Free Field ◽  
Gauge Fields ◽  
Particle Spectrum ◽  
Field Equations ◽  
Abelian Gauge ◽  
Dimensional Spacetime ◽  
Higher Dimensional ◽  
Extended Field ◽  
Rank 2

We review the non-Abelian tensor gauge field theory and analyze its free field equations for lower rank gauge fields when the interaction coupling constant tends to zero. The free field equations are written in terms of the first-order derivatives of extended field strength tensors similar to the electrodynamics and non-Abelian gauge theories. We determine the particle content of the free field equations and count the propagating modes which they describe. In four-dimensional spacetime the rank-2 gauge field describes propagating modes of helicity two and zero. We show that the rank-3 gauge field describes propagating modes of helicity-three and a doublet of helicity-one gauge bosons. Only four-dimensional spacetime is physically acceptable, because in five- and higher-dimensional spacetime the equation has solutions with negative norm states. We discuss the structure of the particle spectrum for higher rank gauge fields.

scholarly journals MAXWELL SYMMETRIES AND SOME APPLICATIONS

2013 ◽  
Vol 23 ◽  
pp. 350-356 ◽  
Author(s):  
JOSÉ A. DE AZCÁRRAGA ◽  
KIYOSHI KAMIMURA ◽  
JERZY LUKIERSKI
Keyword(s):  
Gauge Theory ◽  
Gravity Field ◽  
Scalar Fields ◽  
Cosmological Term ◽  
Gauge Fields ◽  
Spin Connection ◽  
Field Equations ◽  
Geometric Framework ◽  
Abelian Gauge ◽  
Poincaré Algebra

The Maxwell algebra is the result of enlarging the Poincaré algebra by six additional tensorial Abelian generators that make the fourmomenta non-commutative. We present a local gauge theory based on the Maxwell algebra with vierbein, spin connection and six additional geometric Abelian gauge fields. We apply this geometric framework to the construction of Maxwell gravity, which is described by the Einstein action plus a generalized cosmological term. We mention a Friedman-Robertson-Walker cosmological approximation to the Maxwell gravity field equations, with two scalar fields obtained from the additional gauge fields. Finally, we outline further developments of the Maxwell symmetries framework.

scholarly journals Covariant-differential formulation of Lagrangian field theory

2018 ◽  
Vol 15 (08) ◽  
pp. 1850133
Author(s):  
Daniel Canarutto
Keyword(s):  
Field Theory ◽  
Gravitational Field ◽  
Gauge Fields ◽  
Field Equations ◽  
Jet Bundle ◽  
Abelian Gauge ◽  
Differential Formulation ◽  
Natural Vector ◽  
Lagrangian Field Theory ◽  
Vector Valued

Building on the Utiyama principle we formulate an approach to Lagrangian field theory in which exterior covariant differentials of vector-valued forms replace partial derivatives, in the sense that they take up the role played by the latter in the usual jet bundle formulation. Actually a natural Lagrangian can be written as a density on a suitable “covariant prolongation bundle”; the related momenta turn out to be natural vector-valued forms, and the field equations can be expressed in terms of covariant exterior differentials of the momenta. Currents and energy-tensors naturally also fit into this formalism. The examples of bosonic fields and spin one-half fields, interacting with non-Abelian gauge fields, are worked out. The “metric-affine” description of the gravitational field is naturally included, too.

scholarly journals SELF-DUAL VORTICES IN A MAXWELL CHERN–SIMONS MODEL WITH NONMINIMAL COUPLING

1999 ◽  
Vol 14 (11) ◽  
pp. 1721-1735 ◽  
Author(s):  
H. R. CHRISTIANSEN ◽  
M. S. CUNHA ◽  
J. A. HELAYËL-NETO ◽  
L. R. U. MANSSUR ◽  
A. L. M. A. NOGUEIRA
Keyword(s):  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Higgs Potential ◽  
Nonminimal Coupling ◽  
Supersymmetric Extension ◽  
Vortex Solutions ◽  
Chern Simons

We find self-dual vortex solutions in a Maxwell–Chern–Simons model with anomalous magnetic moment. From a recently developed N=2 supersymmetric extension, we obtain the proper Bogomol'nyi equations together with a Higgs potential allowing both topological and nontopological phases in the theory.

FERMI-BOSE TRANSMUTATIONS INDUCED BY GAUGE FIELDS

1988 ◽  
Vol 03 (03) ◽  
pp. 325-328 ◽  
Author(s):  
A.M. POLYAKOV
Keyword(s):  
Gauge Theory ◽  
Charged Particles ◽  
Gauge Fields ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Chern Simons

We show that in (2+1)-dimensional abelian gauge theory with the Chern-Simons term in the action, charged particles reverse their statistics.

scholarly journals Gauge-field-induced torsion and cosmic inflation

2021 ◽  
Vol 36 (21) ◽  
pp. 2150161
Author(s):  
Ammar Kasem ◽  
Shaaban Khalil
Keyword(s):  
General Relativity ◽  
Gauge Field ◽  
Natural Extension ◽  
Gauge Fields ◽  
Field Equations ◽  
Abelian Gauge ◽  
Cosmic Inflation ◽  
Coupling Procedure ◽  
Cartan Theory ◽  
Dynamical Field

In this paper, inflation in the framework of Einstein–Cartan theory is revisited. Einstein–Cartan theory is a natural extension of the General Relativity with nonvanishing torsion. The connection on Riemann–Cartan space–time is only compatible with the cosmological principal for a particular form of torsion. We also show this form to be compatible with gauge invariance principle for non-Abelian and Abelian gauge fields under a certain deviced coupling procedure. We adopt an Abelian gauge field in the form of “cosmic triad”. The dynamical field equations are obtained and shown to sustain cosmic inflation with a large number of e-folds. We emphasize that at the end of inflation, torsion vanishes and the theory of Einstein–Cartan reduces to the General Relativity with the usual FRW geometry.

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