NON-ABELIAN STOKES THEOREM AND QUARK CONFINEMENT IN SU(3) YANG–MILLS GAUGE THEORY

@article{Kondo2000NONABELIANST,
  title={NON-ABELIAN STOKES THEOREM AND QUARK CONFINEMENT IN SU(3) YANG–MILLS GAUGE THEORY},
  author={Kei-ichi Kondo and Yuta Taira},
  journal={Modern Physics Letters A},
  year={2000},
  volume={15},
  pages={367-377}
}
  • K. Kondo, Y. Taira
  • Published 17 June 1999
  • Physics, Mathematics
  • Modern Physics Letters A
We derive a new version of SU(3) non-Abelian Stokes theorem by making use of the coherent state representation on the coset space SU(3)/U(1) × U(1)) = F2, the flag space. Then we outline a derivation of the area law of the Wilson loop in SU(3) Yang–Mills theory in the maximal Abelian gauge (the detailed exposition will be given in a forthcoming article). This derivation is performed by combining the non-Abelian Stokes theorem with the reformulation of the Yang–Mills theory as a perturbative… Expand
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References

SHOWING 1-10 OF 260 REFERENCES
Yang-Mills theory as a deformation of topological field theory, dimensional reduction, and quark confinement
We propose a reformulation of Yang-Mills theory as a perturbative deformation of a novel topological (quantum) field theory. We prove that this reformulation of the four-dimensional QCD leads toExpand
FIELD STRENGTH FORMULATION OF SU(2) YANG–MILLS THEORY IN THE MAXIMAL ABELIAN GAUGE: PERTURBATION THEORY
We present a reformulation of SU(2) Yang–Mills theory in the maximal Abelian gauge, where the non-Abelian gauge field components are exactly integrated out at the expense of a new Abelian tensorExpand
Non-Abelian Stokes Theorem and Quark-Monopole Interaction
We derive a new non-abelian Stokes theorem by rewriting the Wilson loop as a gauge-invariant area integral, at the price of integrating over an auxiliary field from the coset SU(N) / [U(1)]^{N-1}Expand
Abelian-projected effective gauge theory of QCD with asymptotic freedom and quark confinement
Starting from SU(2) Yang-Mills theory in 3+1 dimensions, we prove that the Abelian-projected effective gauge theories are written in terms of the maximal Abelian gauge field and the dual AbelianExpand
Existence of confinement phase in quantum electrodynamics
We show that the four-dimensional U(1) gauge theory in the continuum formulation has a confining phase (exhibiting area law of the Wilson loop) in the strong coupling region above a critical couplingExpand
Quark confinement and topology of gauge theories
Abstract The phenomenon of quark confinement is known to be connected with the restoration of apparently broken gauge symmetry. In this paper we focus on a special mechanism which is responsible forExpand
Partial duality in SU(N) Yang-Mills theory
Abstract Recently we have proposed a set of variables for describing the infrared limit of four dimensional SU (2) Yang-Mills theory. Here we extend these variables to the general case of fourExpand
Abelian magnetic monopole dominance in quark confinement
We prove Abelian magnetic monopole dominance in the string tension of QCD. Abelian and monopole dominance in low energy physics of QCD has been confirmed for various quantities by recent Monte CarloExpand
Abelian dominance and quark confinement in Yang-Mills theories
We define the Abelian component of the gauge field as a gauge-invariant object in the Yang-Mills theory. Then, by assuming that the Abelian component dominates in the theory at a long-distance scale,Expand
Renormalizable Abelian-Projected Effective Gauge Theory Derived from Quantum Chromodynamics
We show that an effective Abelian gauge theory can be obtained as a renormalizable theory from QCD in the maximal Abelian gauge. The derivation improves in a systematic manner the previous versionExpand
...
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4
5
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