scholarly journals HALF-MONOPOLE AND MULTIMONOPOLE

2005 ◽  
Vol 20 (10) ◽  
pp. 2195-2204 ◽  
Author(s):  
ROSY TEH ◽  
K. M. WONG
Keyword(s):  
Natural Number ◽  
Topological Charge ◽  
Magnetic Charge ◽  
Axially Symmetric ◽  
Yang Mills ◽  
First Order ◽  
Half Integer

We would like to present some exact SU(2) Yang–Mills–Higgs monopole solutions of half-integer topological charge. These solutions can be just an isolated half-monopole or a multimonopole with topological magnetic charge ½m where m is a natural number. These static monopole solutions satisfy the first order Bogomol'nyi equations. The axially symmetric one-half monopole gauge potentials possess a Dirac-like string singularity along the negative z-axis. The multimonopole gauge potentials are also singular along the z-axis and possess only mirror symmetries.

scholarly journals STATIC MONOPOLES AND THEIR ANTICONFIGURATIONS

2005 ◽  
Vol 20 (18) ◽  
pp. 4291-4307 ◽  
Author(s):  
ROSY TEH ◽  
KHAI-MING WONG
Keyword(s):  
Exact Solutions ◽  
Magnetic Charge ◽  
Rotational Symmetry ◽  
Axially Symmetric ◽  
First Order ◽  
Half Integer ◽  
Infinite Energy

Recently, we have reported on the existence of some monopoles, multimonopole, and antimonopoles configurations. In this paper we would like to present more monopoles, multimonopole, and antimonopoles configurations of the magnetic ansatz of Ref. 9 when the parameters p and b of the solutions takes different serial values. These exact solutions are a different kind of BPS solution. They satisfy the first order Bogomol'nyi equation but possess infinite energy. They can have radial, axial, or rotational symmetry about the z-axis. We classified these serial solutions as (i) the multimonopole at the origin; (ii) the finitely separated 1-monopoles; (iii) the screening solutions of multimonopole and (iv) the axially symmetric monopole solutions. We also give a construction of their anticonfigurations with all the magnetic charges of poles in the configurations reversed. Half-integer topological magnetic charge multimonopole also exist in some of these series of solutions.

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.

scholarly journals DYONS OF ONE-HALF MONOPOLE CHARGE

2006 ◽  
Vol 21 (26) ◽  
pp. 5285-5298
Author(s):  
ROSY TEH ◽  
KHAI-MING WONG
Keyword(s):  
Energy Density ◽  
Electromagnetic Fields ◽  
Axially Symmetric ◽  
Yang Mills ◽  
First Order ◽  
Line Singularity ◽  
Infinite Energy

We would like to present some exact SU(2) Yang–Mills–Higgs dyon solutions of one-half monopole charge. These static dyon solutions satisfy the first order Bogomol'nyi equations and are characterized by a parameter, m. They are axially symmetric. The gauge potentials and the electromagnetic fields possess a string singularity along the negative z-axis and hence they possess infinite energy density along the line singularity. However the net electric charges of these dyons which varies with the parameter m are finite.

scholarly journals MAGNETIC CHARGE, ANGULAR MOMENTUM AND NEGATIVE COSMOLOGICAL CONSTANT

2003 ◽  
Vol 18 (13) ◽  
pp. 2379-2393 ◽  
Author(s):  
J. J. VAN DER BIJ ◽  
EUGEN RADU
Keyword(s):  
Angular Momentum ◽  
Cosmological Constant ◽  
Electric Charge ◽  
Magnetic Charge ◽  
Flat Space ◽  
Space Time ◽  
Axially Symmetric ◽  
Yang Mills ◽  
Negative Cosmological Constant

We argue that there are no axially symmetric rotating monopole solutions for a Yang–Mills–Higgs theory in flat space–time background. We construct axially symmetric Yang–Mills–Higgs solutions in the presence of a negative cosmological constant, carrying magnetic charge n and a nonvanishing electric charge. However, these solution are also nonrotating.

MULTIMONOPOLE–ANTIMONOPOLE SOLUTIONS OF THE SU(2) YANG–MILLS–HIGGS FIELD THEORY

2004 ◽  
Vol 19 (03) ◽  
pp. 371-391 ◽  
Author(s):  
ROSY TEH ◽  
K. M. WONG
Keyword(s):  
Field Theory ◽  
Axial Symmetry ◽  
Topological Index ◽  
Higgs Field ◽  
Spherically Symmetric ◽  
Axially Symmetric ◽  
Yang Mills ◽  
First Order ◽  
Infinite Energy ◽  
Special Case

In this paper we constructed exact static multimonopole–antimonopole solutions of the YMH field theory. By labelling these solutions as A1, A2, B1, and B2, we notice that the exact axially symmetric 1-monopole — two antimonopoles solution is actually a special case of the A1 solution when the topological index parameter m=1. Also the B1 solution will reduce to a spherically symmetric Wu–Yang type monopole of unit charge when m=0. All these exact solutions satisfy the first order Bogomol'nyi equations and possess infinite energy. Hence they are a different type of the BPS solution. Except for the A1 solution when m=1 and the B1 solution when m=0, these solutions in general do not possess axial symmetry. They represent different combinations of monopoles, multimonopole, and antimonopoles, symmetrically arranged about the z-axis.

scholarly journals EXACT SOLUTIONS OF THE SU(2) YANG–MILLS–HIGGS THEORY

2001 ◽  
Vol 16 (20) ◽  
pp. 3479-3486 ◽  
Author(s):  
ROSY TEH
Keyword(s):  
Exact Solutions ◽  
Axially Symmetric ◽  
Yang Mills ◽  
First Order ◽  
Static Solutions ◽  
Infinite Energy

Some exact static solutions of the SU(2) Yang–Mills–Higgs theory are presented. These solutions do satisfy the first order Bogomol'nyi equations, and possess infinite energy. They are axially symmetric and could possibly represent monopoles and an antimonopole sitting on the z-axis.

scholarly journals Chiral perturbation theory for GR

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Kirill Krasnov ◽  
Yuri Shtanov
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation ◽  
Perturbative Calculation ◽  
New Formalism ◽  
Yang Mills ◽  
First Order ◽  
Starting Point ◽  
Gauge Fixing ◽  
New Perturbation ◽  
Effective Description

Abstract We describe a new perturbation theory for General Relativity, with the chiral first-order Einstein-Cartan action as the starting point. Our main result is a new gauge-fixing procedure that eliminates the connection-to-connection propagator. All other known first-order formalisms have this propagator non-zero, which significantly increases the combinatorial complexity of any perturbative calculation. In contrast, in the absence of the connection-to-connection propagator, our formalism leads to an effective description in which only the metric (or tetrad) propagates, there are only cubic and quartic vertices, but some vertex legs are special in that they cannot be connected by the propagator. The new formalism is the gravity analog of the well-known and powerful chiral description of Yang-Mills theory.

scholarly journals Magnetic charge superselection in the deconfined phase of Yang-Mills theory

2004 ◽  
Vol 69 (7) ◽  
Author(s):  
M. D’Elia ◽  
A. Di Giacomo ◽  
B. Lucini
Keyword(s):  
Magnetic Charge ◽  
Yang Mills
Sign in / Sign up

Export Citation Format

Share Document