Mass Gap in Nonperturbative Quantization à La Heisenberg

Mass Gap in Nonperturbative Quantization à La Heisenberg

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...

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Main Authors: Vladimir Dzhunushaliev, Vladimir Folomeev
Format: Article
Language:English
Published: MDPI AG 2019-01-01
Series:Universe
Subjects:
non-perturbative quantization
energy spectrum
mass gap
quasi-particles
quark-gluon plasma
Online Access:https://www.mdpi.com/2218-1997/5/2/50
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spelling doaj-b48cd9e3e3fe453ab7ab6a6e958d29d02020-11-24T21:40:13ZengMDPI AGUniverse2218-19972019-01-01525010.3390/universe5020050universe5020050Mass Gap in Nonperturbative Quantization à La HeisenbergVladimir Dzhunushaliev0Vladimir Folomeev1Institute of Experimental and Theoretical Physics, Al-Farabi Kazakh National University, Almaty 050040, KazakhstanInstitute of Experimental and Theoretical Physics, Al-Farabi Kazakh National University, Almaty 050040, KazakhstanThe 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.https://www.mdpi.com/2218-1997/5/2/50non-perturbative quantizationenergy spectrummass gapquasi-particlesquark-gluon plasma
collection DOAJ
language English
format Article
sources DOAJ
author Vladimir Dzhunushaliev
Vladimir Folomeev
spellingShingle Vladimir Dzhunushaliev
Vladimir Folomeev
Mass Gap in Nonperturbative Quantization à La Heisenberg
Universe
non-perturbative quantization
energy spectrum
mass gap
quasi-particles
quark-gluon plasma
author_facet Vladimir Dzhunushaliev
Vladimir Folomeev
author_sort Vladimir Dzhunushaliev
title Mass Gap in Nonperturbative Quantization à La Heisenberg
title_short Mass Gap in Nonperturbative Quantization à La Heisenberg
title_full Mass Gap in Nonperturbative Quantization à La Heisenberg
title_fullStr Mass Gap in Nonperturbative Quantization à La Heisenberg
title_full_unstemmed Mass Gap in Nonperturbative Quantization à La Heisenberg
title_sort mass gap in nonperturbative quantization à la heisenberg
publisher MDPI AG
series Universe
issn 2218-1997
publishDate 2019-01-01
description 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.
topic non-perturbative quantization
energy spectrum
mass gap
quasi-particles
quark-gluon plasma
url https://www.mdpi.com/2218-1997/5/2/50
work_keys_str_mv AT vladimirdzhunushaliev massgapinnonperturbativequantizationalaheisenberg
AT vladimirfolomeev massgapinnonperturbativequantizationalaheisenberg
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