A New Description of the Lattice Yang-Mills Theory and Non-Abelian Magnetic Monopole Dominance in the String Tension

2011 ◽  
Author(s):  
Akihiro Shibata
Keyword(s):  
Magnetic Monopole ◽  
String Tension ◽  
Yang Mills

scholarly journals Magnetic monopole versus vortex as gauge-invariant topological objects for quark confinement

2017 ◽  
Vol 32 (36) ◽  
pp. 1747015 ◽  
Author(s):  
Kei-Ichi Kondo ◽  
Takaaki Sasago ◽  
Toru Shinohara ◽  
Akihiro Shibata ◽  
Seikou Kato
Keyword(s):  
Wilson Loop ◽  
Magnetic Monopole ◽  
String Tension ◽  
Magnetic Monopoles ◽  
Magnetic Flux Tube ◽  
Quark Confinement ◽  
Profile Function ◽  
Yang Mills ◽  
Vortex Solution ◽  
Definition Of

First, we give a gauge-independent definition of chromomagnetic monopoles in [Formula: see text] Yang–Mills theory which is derived through a non-Abelian Stokes theorem for the Wilson loop operator. Then we discuss how such magnetic monopoles can give a nontrivial contribution to the Wilson loop operator for understanding the area law of the Wilson loop average. Next, we discuss how the magnetic monopole condensation picture are compatible with the vortex condensation picture as another promising scenario for quark confinement. We analyze the profile function of the magnetic flux tube as the non-Abelian vortex solution of [Formula: see text] gauge-Higgs model, which is to be compared with numerical simulations of the [Formula: see text] Yang–Mills theory on a lattice. This analysis gives an estimate of the string tension based on the vortex condensation picture, and possible interactions between two non-Abelian vortices.

scholarly journals From Center-Vortex Ensembles to the Confining Flux Tube

Universe ◽  
2021 ◽  
Vol 7 (8) ◽  
pp. 253
Author(s):  
David R. Junior ◽  
Luis E. Oxman ◽  
Gustavo M. Simões
Keyword(s):  
Degrees Of Freedom ◽  
String Tension ◽  
Effective Field ◽  
Scaling Properties ◽  
Flux Tubes ◽  
Topological Solitons ◽  
Yang Mills ◽  
Center Vortex ◽  
Asymptotic Scaling ◽  
The Continuum

In this review, we discuss the present status of the description of confining flux tubes in SU(N) pure Yang–Mills theory in terms of ensembles of percolating center vortices. This is based on three main pillars: modeling in the continuum the ensemble components detected in the lattice, the derivation of effective field representations, and contrasting the associated properties with Monte Carlo lattice results. The integration of the present knowledge about these points is essential to get closer to a unified physical picture for confinement. Here, we shall emphasize the last advances, which point to the importance of including the non-oriented center-vortex component and non-Abelian degrees of freedom when modeling the center-vortex ensemble measure. These inputs are responsible for the emergence of topological solitons and the possibility of accommodating the asymptotic scaling properties of the confining string tension.

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 Hamiltonian Approach to QCD in Coulomb Gauge: A Survey of Recent Results

2018 ◽  
Vol 2018 ◽  
pp. 1-21 ◽  
Author(s):  
H. Reinhardt ◽  
G. Burgio ◽  
D. Campagnari ◽  
E. Ebadati ◽  
J. Heffner ◽  
...  
Keyword(s):  
Spatial Dimension ◽  
String Tension ◽  
Quark Condensate ◽  
Coulomb Gauge ◽  
Hamiltonian Approach ◽  
Critical Temperatures ◽  
Yang Mills ◽  
Center Vortex ◽  
Gauge Fixing ◽  
Deconfinement Phase Transition

We report on recent results obtained within the Hamiltonian approach to QCD in Coulomb gauge. Furthermore this approach is compared to recent lattice data, which were obtained by an alternative gauge-fixing method and which show an improved agreement with the continuum results. By relating the Gribov confinement scenario to the center vortex picture of confinement, it is shown that the Coulomb string tension is tied to the spatial string tension. For the quark sector, a vacuum wave functional is used which explicitly contains the coupling of the quarks to the transverse gluons and which results in variational equations which are free of ultraviolet divergences. The variational approach is extended to finite temperatures by compactifying a spatial dimension. The effective potential of the Polyakov loop is evaluated from the zero-temperature variational solution. For pure Yang–Mills theory, the deconfinement phase transition is found to be second order for SU(2) and first order for SU(3), in agreement with the lattice results. The corresponding critical temperatures are found to be 275 MeV and 280 MeV, respectively. When quarks are included, the deconfinement transition turns into a crossover. From the dual and chiral quark condensate, one finds pseudocritical temperatures of 198 MeV and 170 MeV, respectively, for the deconfinement and chiral transition.

scholarly journals LATTICE GAUGE THEORIES AND THE AdS/CFT CORRESPONDENCE

2000 ◽  
Vol 15 (25) ◽  
pp. 3901-3966 ◽  
Author(s):  
M. CASELLE
Keyword(s):  
Gauge Theories ◽  
String Tension ◽  
Yang Mills ◽  
Lattice Gauge ◽  
Lattice Regularization ◽  
Glueball Spectrum ◽  
Lattice Gauge Theories ◽  
Basic Features

This review is devoted to a comparison between lattice gauge theories and AdS/CFT results for the nonperturbative behavior of nonsupersymmetric Yang–Mills theories. It is intended for readers who are assumed not to be experts in LGT. For this reason the first part is devoted to a pedagogical introduction to the Lattice regularization of QCD. In the second part we discuss some basic features of the AdS/CFT correspondence and compare the results obtained in the nonsupersymmetric limit with those obtained on the lattice. We discuss in particular the behavior of the string tension and of the glueball spectrum.

scholarly journals Yang-Mills theory, 2 + 1 and 3 + 1 dimensions

2003 ◽  
Vol 18 (33n35) ◽  
pp. 2415-2422 ◽  
Author(s):  
V. P. NAIR
Keyword(s):  
String Tension ◽  
Simons Theory ◽  
Nonzero Temperature ◽  
Gauge Invariant ◽  
Yang Mills ◽  
Magnetic Mass ◽  
Chern Simons ◽  
Chern Simons Theory

I review the analysis of (2+1)-dimensional Yang-Mills (YM2+1) theory via the use of gauge-invariant matrix variables. The vacuum wavefunction, string tension, the propagator mass for gluons, its relation to the magnetic mass for YM3+1at nonzero temperature and the extension of our analysis to the Yang-Mills-Chern-Simons theory are discussed. A possible extension to 3 + 1 dimensions is also briefly considered.

scholarly journals SYMPLECTIC STRUCTURE OF ISOSPIN PARTICLES IN YANG-MILLS FIELDS

1992 ◽  
Vol 07 (21) ◽  
pp. 1923-1930 ◽  
Author(s):  
PHILLIAL OH
Keyword(s):  
Symplectic Structure ◽  
Magnetic Monopole ◽  
Magnetic Charge ◽  
Geometric Quantization ◽  
Hamiltonian Formalism ◽  
Quantization Condition ◽  
Energy Term ◽  
Yang Mills ◽  
Constraint Analysis ◽  
Potential Energy Term

Using Dirac’s constraint analysis, we explore the Hamiltonian formalism of isospin particles in external Yang-Mills fields without kinetic and potential energy term. We consider an example of isospin particle in ’t Hooft-Polyakov magnetic monopole field and discuss possible quantization condition of magnetic charge in terms of geometric quantization.

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