Nonlinearity of the non-Abelian lattice gauge field theory according to the spectrum of Kolmogorov-Sinai entropy and complexity

The quark-gluon plasma is written by the non-Abelian gauge theory. The dynamics of the gauge SU(2) are given by the Hamiltonian function, which contains the quadratic part of the field strength tensor expressed in Minkowski space. The homogeneous Yang-Mills equations are solved on lattice N consider...

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Bibliographic Details
Published inActa Universitatis Sapientiae. Informatica Vol. 13; no. 2; pp. 373 - 400
Main Author Fülöp, Ágnes
Format Journal Article
LanguageEnglish
Published Sciendo 01.12.2021
Scientia Publishing House
Subjects
68U20
chaos
Kolmogorov entropy
lattice field
non-Abelian gauge field
statistical complexity
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Summary:The quark-gluon plasma is written by the non-Abelian gauge theory. The dynamics of the gauge SU(2) are given by the Hamiltonian function, which contains the quadratic part of the field strength tensor expressed in Minkowski space. The homogeneous Yang-Mills equations are solved on lattice N considering classical approximation, which exhibits chaotic dynamics. We research the time-dependent entropy-energy relation, which can be shown by the energy spectrum of Kolmogorov-Sinai entropy and the spectra of the statistical complexity.
ISSN:2066-7760
2066-7760
DOI:10.2478/ausi-2021-0018