Dimensional Transmutation by Monopole Condensation in QCD
arXiv:1206.6936 · doi:10.1103/PhysRevD.87.085025
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 (26)
- Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
- Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
- Partially Dual variables in SU(2) Yang-Mills Theory
- Dual Superconductor Scenario of Confinement: A Systematic Study of Gribov Copy Effects
- Constant External Fields in Gauge Theory and the Spin 0, 1/2, 1 Path Integrals
- An effective action for monopoles and knot solitons in Yang-Mills theory
- Partial duality in SU(N) Yang-Mills theory
- Yang-Mills theory as an Abelian theory without gauge fixing
- Analytic results for the effective action
- Wilsonian effective action for SU(2) Yang-Mills theory with Cho-Faddeev-Niemi-Shabanov decomposition
- QCD versus Skyrme-Faddeev Theory
- Color Reflection Invariance and Monopole Condensation in QCD
- Abelian Dominance in Wilson Loops
- Baryonic Flux in Quenched and Two-Flavor Dynamical QCD after Abelian projection
- Faddeev-Niemi Conjecture and Effective Action of QCD
- Effective Action - A Convergent Series - of QED
- Lattice construction of Cho-Faddeev-Niemi decomposition and gauge invariant monopole
- Compact lattice formulation of Cho-Faddeev-Niemi decomposition: gluon mass generation and infrared Abelian dominance
- Dynamics of Monopoles and Flux Tubes in Two-Flavor Dynamical QCD
- Compact lattice formulation of Cho-Faddeev-Niemi decomposition: string tension from magnetic monopoles
- Monopole Condensation and Dimensional Transmutation in SU(2) QCD
- New descriptions of lattice SU(N) Yang-Mills theory towards quark confinement
- Global Aspects of Abelian and Center Projections in SU(2) Gauge Theory
- Electric-Magnetic Duality in QED Effective Action
- Stable Monopole-Antimonopole String Background in SU(2) QCD
- Cho and Pak reply to Lamm et al. comment on "A Convergent Series for the QED Effective Action"
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- Quark confinement: dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang-Mills theory
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- Dynamics of QCD Matter -- current status
- The static quark potential from the gauge invariant Abelian decomposition
- 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