Quasiparticles in nonperturbative vacuum

TL;DR

This paper proposes a model of nonperturbative vacuum in SU(2) Yang-Mills theory with a nonlinear spinor field, suggesting quasiparticles form the dominant contribution, resulting in a finite energy density comparable to the cosmological constant.

Contribution

It introduces a novel nonperturbative vacuum model with quasiparticles described by dipolelike solutions, linking vacuum energy density to cosmological observations.

Findings

Nonperturbative vacuum energy density is finite.

Vacuum energy density can match the scale of the cosmological constant.

Quasiparticles are characterized by a spinor field self-coupling constant.

Abstract

The model of nonperturbative vacuum in SU(2) Yang-Mills theory coupled to a nonlinear spinor field is suggested. By analogy with Abelian magnetic monopole dominance in quantum chromodynamics, it is assumed that the dominant contribution to such vacuum is coming from quasiparticles described by dipolelike solutions existing in this theory. Using an assumption of the behavior of the number density of quasiparticles whose energy approaches infinity, we derive an approximate expression for the energy density of such nonperturbative vacuum, which turns out to be finite, unlike an infinite energy density of perturbative vacuum. Using characteristic values of the parameters appearing in the expression for the nonperturbative energy density, it is shown that this density may be of the order of the energy density associated with Einstein's cosmological constant. The physical interpretation of the spinor field self-coupling constant as a characteristic distance between quasiparticles is suggested. The questions of experimental verification of the nonperturbative vacuum model under consideration and of determining its pressure are briefly discussed.