Abstract
The approximate method of solving nonperturbative Dyson-Schwinger equations by cutting off this infinite set of equations to three equations is considered. The gauge noninvariant decomposition of SU(3) degrees of freedom into SU(2) × U(1) and SU(3)/(SU(2) × U(1)) degrees of freedom is used. SU(2) × U(1) degrees of freedom have nonzero quantum average, and SU(3)/(SU(2) × U(1)) have zero quantum average. To close these equations, some approximations are employed. Regular spherically symmetric finite energy solutions of these equations are obtained. Energy spectrum of these solutions is studied. The presence of a mass gap is shown. The obtained solutions describe quasi-particles in a quark-gluon plasma.
Highlights
Quantum physical systems in quantum chromodynamics (QCD) have much more complicated structure than those in quantum electrodynamics (QED)
Interaction between the gauge field Am μ and the virtual quarks ψαi with nonzero quantum averages is described by the nonlinear interaction between their dispersions: Gαβij (y, y, x )
Dyson-Schwinger equations to obtain an approximate microscopical structure of quantum fluctuations in a quark-gluon plasma, QCD vacuum and in other quantum systems within QCD. This means that we have verified the following model of quantum physical systems in chromodynamics: there is some condensate, on the background of which there are quantum fluctuations in the form of quantum monopoles/dyons filled with color magnetic and electric fields, and with virtual quarks
Summary
Quantum physical systems in quantum chromodynamics (QCD) have much more complicated structure than those in quantum electrodynamics (QED). In QCD, a quantum system may have a granular structure: hedgehogs/dyons with magnetic and electric fields appear as a result of quantum fluctuations. This is confirmed by lattice calculations, within which, using the maximal abelian projection, it was shown that in calculating the path integral, a considerable contribution comes from field distributions containing magnetic monopoles. In the present work we study a microscopical structure of such fluctuations using the three-equation approximation for the nonperturbative set of Dyson-Schwinger equations. This approximation assumes noninvariant decomposition of SU(3) degrees of freedom into two groups. The paper [3] studies the gluon condensate relaxation phenomena using the nonlinear field equations for the gluonic condensate
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
