Color Reflection Invariance and Monopole Condensation in QCD

Abstract

We review the quantum instability of the Savvidy-Nielsen-Olesen (SNO) vacuum of the one-loop effective action of SU(2) QCD, and point out a critical defect in the calculation of the functional determinant of the gluon loop in the SNO effective action. We prove that the gauge invariance, in particular the color reflection invariance, exclude the unstable tachyonic modes from the gluon loop integral. This guarantees the stability of the magnetic condensation in QCD.

28 pages, 3 figures, JHEP style

References in corpus (5)

• Analytic results for the effective action
• Wilsonian effective action for SU(2) Yang-Mills theory with Cho-Faddeev-Niemi-Shabanov decomposition
• Monopoles and Knots in Skyrme Theory
• QCD versus Skyrme-Faddeev Theory
• Faddeev-Niemi Conjecture and Effective Action of QCD

Cited by in corpus (43)

• Finite Energy Electroweak Dyon
• Magnetic condensation, Abelian dominance and instability of Savvidy vacuum
• Monopole Condensation and Dimensional Transmutation in SU(2) QCD
• Knot Topology of QCD Vacuum
• Dimensional Transmutation by Monopole Condensation in QCD
• On generation of Abelian magnetic fields in SU(3) gluodynamics at high temperature
• Reinterpretation of Faddeev-Niemi Knot in Skyrme Theory
• QCD effective action with a most general homogeneous field background
• Chromoelectric Knot in QCD
• Stable Monopole-Antimonopole String Background in SU(2) QCD
• Euler-Heisenberg-Weiss action for QCD+QED
• Knot soliton in Weinberg-Salam model
• On microscopic structure of the QCD vacuum
• Neutral gluon polarization tensor in color magnetic background at finite temperature
• New Interpretation of Skyrme Theory
• Torsion as a dynamic degree of freedom of quantum gravity
• Cho and Pak reply to Lamm et al. comment on "A Convergent Series for the QED Effective Action"
• Stability of chromomagnetic condensation and mass generation for confinement in SU(2) Yang-Mills theory
• Cho-Duan-Ge decomposition of QCD in the constraintless Clairaut-type formalism
• Topological character of hydrodynamic screening in suspensions of hard spheres: an example of universal phenomenon
• Quantum stability of non-linear wave type solutions with intrinsic mass parameter in QCD
• Abelian Decomposition and Glueball-Quarkonium Mixing in QCD
• Weyl symmetric structure of QCD vacuum
• Effective confinement theory from Abelian variables in SU(3) gauge theory
• Magnetic monopoles in pure $SU(2)$ Yang--Mills theory with a gauge-invariant mass
• On finite energy monopole solutions in Weinberg-Salam model
• Abelian Decomposition and Weyl Symmetric Effective Action of SU(3) QCD
• Extending SU(2) to SU(N) QCD
• Veneziano amplitudes, spin chains and Abelian reduction of QCD
• Stability of the Magnetic Monopole Condensate in three- and four-colour QCD
• Dirac Quantization of Restricted QCD
• Higgs-free confinement hierarchy in five colour QCD
• Composite operator and condensate in the $SU(N)$ Yang-Mills theory with $U(N-1)$ stability group
• Veneziano Amplitudes, Spin Chains and String Models
• Gauge gravity vacuum in constraintless Clairaut-type formalism
• Knot topology in QCD
• Reformulations of Yang-Mills Theories with Space-time Tensor Fields
• On Wilson Loops and Confinement without Supersymmetry from Composite Antisymmeric Tensor Field theories
• How to extract the dominant part of the Wilson loop average in higher representations
• Abelian-Higgs Phase of SU(2) QCD and Glueball Energy
• Gluonic Colour Singlets in QCD
• Stable spherically symmetric monopole field background in a pure QCD
• On P_T-distribution of gluon production rate in constant chromoelectric field