<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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 
<inline-formula>
<alternatives>
<inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_ausi-2021-0018_ineq_001.png"></inline-graphic>
<math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msubsup><mtext>F</mtext><mrow><mi>μ</mi><mi>v</mi></mrow><mtext>a</mtext></msubsup></mrow></math>
<tex-math>{\rm{F}}_{\mu v}^{\rm{a}}</tex-math>
</alternatives>
</inline-formula>
 expressed in Minkowski space. The homogeneous Yang-Mills equations are solved on lattice N<sup>d</sup> 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.</p>
</abstract>

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 



Fμva
{\rm{F}}_{\mu v}^{\rm{a}}


 expressed in Minkowski space. The homogeneous Yang-Mills equations are solved on lattice Nd 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.

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

Acta Universitatis Sapientiae, Informatica

This work is licensed under the Creative Commons Attribution 4.0 International License.

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...

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

Publié en ligne: 02 févr. 2022

Pages: 373 - 400

Reçu: 30 nov. 2021

Accepté: 10 janv. 2022

DOI: https://doi.org/10.2478/ausi-2021-0018

© 2021 Ágnes Fülöp, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.