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 η 0 meson. The relationship between the result obtained here for the generating functional of perturbation theory and Faddeev-Popov integral is discussed.

Physics Formalism Helmholtz Matrix to Coulomb Gage

“…Gravitational monopoles probably occur at Planck dimensions particularly originating center of a supermassive blackhole [43,44]. While vacuum monopoles probably occur infinitely with universal vacuum quanta cosmos extent [45,46]. -> , cross-diagonal can be extended like gage "ray" analogous to negative charge like a Standard Model having a fermion or electron of Gilbertian nature at infinity bringing to real spacelike volt or potential, while non-gauge with − refer to point mirror symmetry of , typically.…”

Interpreting Dirac variables in terms of the Hilbert space of gauge-invariant and Poincare-covariant states

“…1 Introduction. 2 The vacuum sector of a gauge model permits its description in terms of Dirac variables.…”

“…This equation may be treated as that specifying the gauge matrices v T (x, t). This, in turn, allows to write down the gauge transformations for spatial components of gauge fields [2] (say, in a non-Abelian gauge theory)…”

“…1 Generally speaking, a constraint equation in the Hamiltonian formalism can be defined as following [2]. Constraint equations relate initial data for spatial components of the fields involved in a (gauge) model to initial data of their temporal components.…”

“…The Gauss law constraint has an additional specific that it is simultaneously the one of equations of motion (to solve these, it is necessary a measurement of initial data [2]). This is correctly for QED as well for non-Abelian theories (in particular, for QCD), i.e.…”