Dimensional Transmutation by Monopole Condensation in QCD

Abstract

We compare two competing conjectures of the color confinement in QCD, the monopole condensation and the Abelian dominance, and show that it is the monopole condensation which is responsible for the confinement. To demonstrate this we present a new gauge invariant integral expression of the one-loop QCD effective action which has no infra-red divergence. With this we show that, just as the GSO-projection restores the supersymmetry and modular invariance in NSR string theory, the color reflection invariance ("the C-projection") assures the gauge invariance and the stability of the monopole condensation. This establishes the monopole dominance in QCD. In doing so we point out critical defects in the calculation of the Savvidy-Nielsen-Olesen (SNO) effective action.

References in corpus (4)

• Analytic results for the effective action
• Compact lattice formulation of Cho-Faddeev-Niemi decomposition: gluon mass generation and infrared Abelian dominance
• Compact lattice formulation of Cho-Faddeev-Niemi decomposition: string tension from magnetic monopoles
• New descriptions of lattice SU(N) Yang-Mills theory towards quark confinement

Cited by in corpus (12)

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• Gravitational catalysis of merons in Einstein-Yang-Mills theory
• Stability of chromomagnetic condensation and mass generation for confinement in SU(2) Yang-Mills theory
• Abelian Decomposition and Glueball-Quarkonium Mixing in QCD
• Abelian Decomposition and Weyl Symmetric Effective Action of SU(3) QCD
• Knots in Physics
• Reformulations of Yang-Mills Theories with Space-time Tensor Fields
• Experimental Verification of Two types of Gluon Jets in QCD
• Detection of monopoles and vortices in SU(2) Yang-Mills theory