Monopole Vacuum in Non-Abelian Theories

Abstract

It is shown that, in the theory of interacting Yang -Mills fields and a Higgs field, there is a topological degeneracy of Bogomol'nyi-Prasad-Sommerfield (BPS) monopoles and that there arises, in this case, a chromoelectric monopole characterized by a new topological variable that describes transitions between topological states of the monopole in the Minkowski space (in just the same way as an instanton describes such transitions in the Euclidean space). The limit of an infinitely large mass of the Higgs field at a finite density of the BPS monopole is considered as a model of the stable vacuum in the pure Yang-Mills theory. It is shown that, in QCD, such a monopole vacuum may lead to a rising potential, a topological confinement and an additional mass of the ${\eta }_0$ meson. The relationship between the result obtained here for the generating functional of perturbation theory and Faddeev-Popov integral is discussed.

Cited by in corpus (10)

• Cosmological Production of Vector Bosons and Cosmic Microwave Background Radiation
• Minkowskian Yang-Mills vacuum
• Radiative decays of scalar mesons σ(600), f_0(980) and a_0(980) in the local Nambu-Jona-Lasinio model
• "Discrete" vacuum geometry as a tool for Dirac fundamental quantization of Minkowskian Higgs model
• Superfluid properties of BPS monopoles
• Nontrivial topological dynamics in Minkowskian Higgs model quantized by Dirac
• BPS ansatzes as electric form-factors
• Interpreting Dirac variables in terms of the Hilbert space of gauge-invariant and Poincare-covariant states
• Whether the vacuum manifold in the Minkowskian non-Abelian model quantized by Dirac can be described with the aid of the superselection rules?
• Topological Dirac variables in Abelian $U(1)$ theory