Knot Topology of QCD Vacuum

Abstract

We show that one can express the knot equation of Skyrme theory completely in terms of the vacuum potential of SU(2) QCD, in such a way that the equation is viewed as a generalized Lorentz gauge condition which selects one vacuum for each class of topologically equivalent vacua. From this we show that there are three ways to describe the QCD vacuum (and thus the knot), by a non-linear sigma field, a complex vector field, or by an Abelian gauge potential. This tells that the QCD vacuum can be classified by an Abelian gauge potential with an Abelian Chern-Simon index.

4 pages

References in corpus (3)

• BRST symmetry of SU(2) Yang-Mills theory in Cho--Faddeev--Niemi decomposition
• Topological Objects in Two-component Bose-Einstein Condensates
• Chromoelectric Knot in QCD

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• Knots as possible excitations of the quantum Yang-Mills fields
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• Nucleon Spin in QCD: Old Crisis and New Resolution
• QCD Flux Tubes and Anomaly Inflow
• Gravity assisted solution of the mass gap problem for pure Yang-Mills fields
• Weyl symmetric structure of QCD vacuum
• Abelian Decomposition and Weyl Symmetric Effective Action of SU(3) QCD
• New Topological Structures of Skyrme Theory: Baryon Number and Monopole Number
• Dirac Quantization of Restricted QCD
• Topological invariants for superconducting cosmic strings
• Black magic session of concordance: Regge mass spectrum from Casson's invariant
• Knots in Physics
• Knot topology in QCD
• Vacuum tunneling in gravity