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.

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 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 Latent heat and pressure gap at the first order deconfining phase transition of SU(3) Yang-Mills theory using the small flow-time expansion method

2020 ◽  
Author(s):  
Mizuki Shirogane ◽  
Shinji Ejiri ◽  
Ryo Iwami ◽  
Kazuyuki Kanaya ◽  
Masakiyo Kitazawa ◽  
...  
Keyword(s):  
Phase Transition ◽  
Energy Density ◽  
Latent Heat ◽  
Flow Time ◽  
Yang Mills ◽  
First Order ◽  
Pressure Gap ◽  
Small Flow ◽  
Time Expansion ◽  
The Continuum

Abstract We study latent heat and pressure gap between the hot and cold phases at the first order deconfining phase transition temperature of the SU(3) Yang-Mills theory. Performing simulations on lattices with various spatial volumes and lattice spacings, we calculate the gaps of the energy density and pressure using the small flow time expansion (SFtX) method. We find that the latent heat Δ ε in the continuum limit is Δ ε /T4 = 1.117 ± 0.040 for the aspect ratio Ns/Nt = 8 and 1.349 ± 0.038 for Ns/Nt = 6 at the transition temperature T = T c. We also confirm that the pressure gap is consistent with zero, as expected from the dynamical balance of two phases at Tc. From hysteresis curves of the energy density near Tc, we show that the energy density in the (metastable) deconfined phase is sensitive to the spatial volume, while that in the confined phase is insensitive. Furthermore, we examine the effect of alternative procedures in the SFtX method — the order of the continuum and the vanishing flow time extrapolations, and also the renormalization scale and higher order corrections in the matching coefficients. We confirm that the final results are all well consistent with each other for these alternatives.

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.

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 Renormalization Transformations of the 4-D BFYM Theory

1997 ◽  
Vol 12 (31) ◽  
pp. 2353-2366 ◽  
Author(s):  
Alberto Accardi ◽  
Andrea Belli
Keyword(s):  
Perturbative Calculation ◽  
Preliminary Step ◽  
Yang Mills ◽  
First Order ◽  
Bf Theory ◽  
Starting Point ◽  
Brst Cohomology

We study the most general renormalization transformations for the first-order formulation of the Yang–Mills theory. We analyze, in particular, the trivial sector of the BRST cohomology of two possible formulations of the model: the standard one and the extended one. The latter is a promising starting point for the interpretation of the Yang–Mills theory as a deformation of the topological BF theory. This work is a necessary preliminary step towards any perturbative calculation, and completes some recently obtained results.

scholarly journals Dynamics of Electromagnetic Fields and Structure of Regular Rotating Electrically Charged Black Holes and Solitons in Nonlinear Electrodynamics Minimally Coupled to Gravity

Universe ◽  
2019 ◽  
Vol 5 (10) ◽  
pp. 205 ◽  
Author(s):  
Irina Dymnikova ◽  
Evgeny Galaktionov
Keyword(s):  
Black Holes ◽  
Electromagnetic Fields ◽  
Nonlinear Electrodynamics ◽  
Axially Symmetric ◽  
De Sitter ◽  
Dynamical Equations ◽  
Naked Singularities ◽  
Charged Black Holes ◽  
De Sitter Vacuum ◽  
Electrically Charged

We study the dynamics of electromagnetic fields of regular rotating electrically charged black holes and solitons replacing naked singularities in nonlinear electrodynamics minimally coupled to gravity (NED-GR). They are related by electromagnetic and gravitational interactions and described by the axially symmetric NED-GR solutions asymptotically Kerr-Newman for a distant observer. Geometry is described by the metrics of the Kerr-Schild class specified by T t t = T r r ( p r = − ρ ) in the co-rotating frame. All regular axially symmetric solutions obtained from spherical solutions with the Newman-Janis algorithm belong to this class. The basic generic feature of all regular objects of this class, both electrically charged and electrically neutral, is the existence of two kinds of de Sitter vacuum interiors. We analyze the regular solutions to dynamical equations for electromagnetic fields and show which kind of a regular interior is favored by electromagnetic dynamics for NED-GR objects.

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