scholarly journals Electrically charged finite energy solutions of an SO(5) and an SU(3) Higgs–Chern–Simons-Yang–Mills–Higgs system in 3+1 dimensions

2015 ◽  
Vol 30 (15) ◽  
pp. 1550079 ◽  
Author(s):  
Francisco Navarro-Lérida ◽  
D. H. Tchrakian
Keyword(s):  
Electric Charge ◽  
Magnetic Monopole ◽  
Finite Energy ◽  
Main Task ◽  
Gauge Groups ◽  
Yang Mills ◽  
The Masses ◽  
Electrically Charged ◽  
Chern Simons ◽  
Higgs Fields

We study spherically symmetric finite energy solutions of two Higgs–Chern–Simons-Yang–Mills–Higgs (HCS-YMH) models in 3+1 dimensions, one with gauge group SO(5) and the other with SU(3). The Chern–Simons (CS) densities are defined in terms of both the Yang–Mills (YM) and Higgs fields and the choice of the two gauge groups is made so that they do not vanish. The solutions of the SO(5) model carry only electric charge and zero magnetic charge, while the solutions of the SU(3) model are dyons carrying both electric and magnetic charges like the Julia–Zee (JZ) dyon. Unlike the latter, however, the electric charge in both models receives an important contribution from the CS dynamics. We pay special attention to the relation between the energies and charges of these solutions. In contrast with the electrically charged JZ dyon of the Yang–Mills–Higgs (YMH) system, whose mass is larger than that of the electrically neutral (magnetic monopole) solutions, the masses of the electrically charged solutions of our HCS-YMH models can be smaller than their electrically neutral counterparts in some parts of the parameter space. To establish this is the main task of this work, which is performed by constructing the HCS-YMH solutions numerically. In the case of the SU(3) HCS-YMH, we have considered the question of angular momentum and it turns out that it vanishes.

scholarly journals A Chern–Simons–Yang–Mills–Higgs system in 3+1 dimensions

2014 ◽  
Vol 29 (26) ◽  
pp. 1450149 ◽  
Author(s):  
Francisco Navarro-Lérida ◽  
Eugen Radu ◽  
D. H. Tchrakian
Keyword(s):  
Numerical Methods ◽  
Electric Charge ◽  
Electrostatic Potential ◽  
Finite Energy ◽  
Spherically Symmetric ◽  
Yang Mills ◽  
Spherically Symmetric Solutions ◽  
Chern Simons ◽  
Energy Configurations

We study spherically symmetric solutions of an SO(5) Chern–Simons–Yang–Mills–Higgs system in 3+1 dimensions. The Chern–Simons densities are defined in terms of both Yang–Mills fields and a five-component isomultiplet Higgs. The SO(3) × SO(2) solutions are analyzed in a systematic way, by employing numerical methods. These finite energy configurations possess both electric and magnetic global charges, differing radically, however, from Julia–Zee dyons. When two or more of these Chern–Simons densities are present in the Lagrangian, solutions with vanishing electric charge but nonvanishing electrostatic potential may exist.

scholarly journals CHARGED TOPOLOGICAL SOLITONS IN (4+1)-DIMENSIONAL YMCS THEORY

1992 ◽  
Vol 07 (27) ◽  
pp. 2469-2475
Author(s):  
C. S. AULAKH
Keyword(s):  
Electric Charge ◽  
Five Dimensions ◽  
Topological Solitons ◽  
Yang Mills ◽  
Chern Simons

We show that when a Chern-Simons term is added to the action of SU (N) (N≥3) Yang-Mills theory in five dimensions the usual self-dual topological solitons present in the theory necessarily pick up a (topological) electric charge.

FINITE ENERGY ONE-HALF MONOPOLE SOLUTIONS

2012 ◽  
Vol 27 (40) ◽  
pp. 1250233 ◽  
Author(s):  
ROSY TEH ◽  
BAN-LOONG NG ◽  
KHAI-MING WONG
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Magnetic Flux ◽  
Topological Charge ◽  
Magnetic Monopole ◽  
Magnetic Charge ◽  
Finite Energy ◽  
Spatial Infinity ◽  
Yang Mills ◽  
The Magnetic Field

We present finite energy SU(2) Yang–Mills–Higgs particles of one-half topological charge. The magnetic fields of these solutions at spatial infinity correspond to the magnetic field of a positive one-half magnetic monopole at the origin and a semi-infinite Dirac string on one-half of the z-axis carrying a magnetic flux of [Formula: see text] going into the origin. Hence the net magnetic charge is zero. The gauge potentials are singular along one-half of the z-axis, elsewhere they are regular.

SUPERCONDUCTIVITY AND SUPERSYMMETRIC QED3

1991 ◽  
Vol 06 (02) ◽  
pp. 217-241 ◽  
Author(s):  
M. CARENA ◽  
T.E. CLARK ◽  
C.E.M. WAGNER
Keyword(s):  
High Temperature ◽  
High Temperature Superconductivity ◽  
Mass Splitting ◽  
Fermion Mass ◽  
Finite Density ◽  
Fundamental Matter ◽  
The Masses ◽  
Electrically Charged ◽  
Chern Simons ◽  
The Ideal

Current theories of high temperature superconductivity are based on the behavior of the ideal (2+1)-dimensional anyon gas at finite density. The anyon gas can be described using fundamental fermionic or bosonic matter in interaction with a topologically massive statistical gauge field. If the renormalized Chern-Simons coefficient at zero density takes the values γR(0)=N/2π, the anyon gas is a superfluid, and if the fundamental matter is electrically charged, it behaves like a superconductor. In this article we analyze an ideal anyon gas composed of two anyonic species, each associated with fundamental matter that has different (fermionic and bosonic) statistics. For supersymmetric values of the masses and couplings, no exotic statistics can occur when the system is in a superconducting state at finite density. However, semionic superconductivity can be achieved when the supersymmetry is very softly broken by a fundamental boson-fermion mass splitting.

scholarly journals TOPOLOGICAL ELECTROPOLES IN (4+1)-DIMENSIONAL EYMCS THEORY

1994 ◽  
Vol 09 (23) ◽  
pp. 2139-2146 ◽  
Author(s):  
C.S. AULAKH ◽  
V. SONI
Keyword(s):  
Exact Solutions ◽  
Electric Charge ◽  
Topological Solitons ◽  
Yang Mills ◽  
Chern Simons ◽  
Made In

A class of explicit exact solutions of Einstein-Yang-Mills-Chern-Simons (EYMCS) theory corresponding to topological solitons carrying non-Abelian topological electric charge is obtained. This verifies a conjecture made in Refs. 1 and 2 regarding the stabilization of the corresponding charged configurations in the theory without gravity.

Infrared finiteness of the two-loop correction to the Chern–Simons term in the Yang–Mills–Chern–Simons theory

1995 ◽  
Vol 73 (5-6) ◽  
pp. 344-348 ◽  
Author(s):  
Yeong-Chuan Kao ◽  
Hsiang-Nan Li
Keyword(s):  
Effective Action ◽  
Background Field ◽  
Landau Gauge ◽  
Quantum Corrections ◽  
Simons Theory ◽  
Loop Correction ◽  
Loop Contribution ◽  
Yang Mills ◽  
Chern Simons ◽  
Chern Simons Theory

We show that the two-loop contribution to the coefficient of the Chern–Simons term in the effective action of the Yang–Mills–Chern–Simons theory is infrared finite in the background field Landau gauge. We also discuss the difficulties in verifying the conjecture, due to topological considerations, that there are no more quantum corrections to the Chern–Simons term other than the well-known one-loop shift of the coefficient.

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