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.
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References
G. Baseyan, S. Matinyan, G. Savvidi, Pis’ma Zh. Eksp. Teor. Fiz. 29, 641 (1979) (JETP Lett. 29, 587 (1979))
S. Matinyan, G. Savvidi, N. Ter-Arutyunan-Savvidi, Zh. Eksp. Teor. Fiz. 80, 830 (1981) (Sov. Phys. JETP 53, 421 (1981))
G. Savvidy, Nucl. Phys. B 246, 302 (1984)
E. Nikolaevskii, L. Shur, Pis’ma Zh. Eksp. Teor. Fiz. 36, 176 (1982) (JETP Lett. 36, 218 (1982))
S.J. Chang, Phys. Rev. D 29, 259 (1984)
A. Carnegie, I. Percival, J. Phys. A 17, 801 (1984)
P. Dahlquist, G. Russberg, Phys. Rev. Lett. 65, 2837 (1990)
S. Matinyan, G. Savvidy, Nucl. Phys. B 134, 539 (1978)
H. Pagels, E. Tomboulis, Nucl. Phys. B 143, 485 (1978)
L. Maiani, G. Martinelli, G. Rossi, M. Testa, Nucl. Phys. B 273, 275 (1986)
S. Adler, T. Piran, Rev. Mod. Phys. 56, 1 (1984)
Y. Simonov, Perturbative theory in the nonperturbative QCD vacuum, Heidelberg Report No. HD-THEP-93-16 (unpublished)
A. Nicolaidis, S. Ichtiaroglou, G. Voyatzis, Phys. Rev. D 52, 3700 (1984)
A.J. Lichtenberg, M.A. Lieberman, Regular and Stochastic Motion (Springer, New York, 1995)
J. Mandula, Phys. Lett. 67B, 175 (1977)
Acknowledgments
I would like to thank Prof. Boyka Aneva for a warm hospitality and perfect organization.
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Nicolaidis, A. (2015). Chaotic Versus Regular Behavior in Yang-Mills Theories. In: Aneva, B., Kouteva-Guentcheva, M. (eds) Nonlinear Mathematical Physics and Natural Hazards. Springer Proceedings in Physics, vol 163. Springer, Cham. https://doi.org/10.1007/978-3-319-14328-6_6
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DOI: https://doi.org/10.1007/978-3-319-14328-6_6
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