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Chaotic Versus Regular Behavior in Yang-Mills Theories

  • A. NicolaidisEmail author
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 163)

Abstract

We consider spatially uniform \(SU(2)\) color fields. At the classical level the system exhibits almost exclusively chaotic behavior. To include quantum effects, we introduce a renormalization-group improved effective action, where the fixed coupling constant \(g\) is replaced by a running coupling constant \(g\), depending upon the color magnetic field. The effective Lagrangian gives rise to invariant tori which occupy a significant portion of the phase space and sustain ordered behavior. For some energy values, stable periodic orbits exist, with the corresponding gluon field being color neutral.

Keywords

Quantum Correction Symmetric Solution Pitchfork Bifurcation Chaotic Orbit Stable Periodic Orbit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

I would like to thank Prof. Boyka Aneva for a warm hospitality and perfect organization.

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Theoretical Physics DepartmentAristotle University of ThessalonikiThessalonikiGreece

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