Strongly and weakly unstable anisotropic quarkgluon plasma
Abstract
Using explicit solutions of the QCD transport equations, we derive an effective potential for an anisotropic quarkgluon plasma which under plausible assumptions holds beyond the Hard Loop approximation. The configurations, which are unstable in the linear response approach, are characterized by a negative quadratic term of the effective potential. The signs of higherorder terms can be either negative or positive, depending on the parton momentum distribution. In the case of a Gaussian momentum distribution, the potential is negative and unbound from below. Therefore, the modes, which are unstable for gauge fields of small amplitude, remain unstable for arbitrary large amplitudes. We also present an example of a momentum distribution which gives a negative quadratic term of the effective potential but the whole potential has a minimum and it grows for sufficiently large gauge fields. Then, the system is weakly unstable. The character of the instability is important for the dynamical evolution of the plasma system.
 Authors:

 Instituto de Fisica Corpuscular C.S.I.C.Universitat de Valencia Edificio de Institutos de Paterna, Apt 2085 46071 Valencia (Spain)
 Publication Date:
 OSTI Identifier:
 20711213
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review. D, Particles Fields
 Additional Journal Information:
 Journal Volume: 72; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevD.72.034005; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 05562821
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AMPLITUDES; ANISOTROPY; DISTRIBUTION; GAUGE INVARIANCE; MATHEMATICAL SOLUTIONS; POTENTIALS; QUANTUM CHROMODYNAMICS; QUARK MATTER; QUARK MODEL; QUARKS; TRANSPORT THEORY
Citation Formats
Manuel, Cristina, Mrowczynski, Stanislaw, and Soltan Institute for Nuclear Studies ul. Hoza 69, PL  00681 Warsaw, Poland and Institute of Physics, Swietokrzyska Academy ul. Swietokrzyska 15, PL  25406 Kielce. Strongly and weakly unstable anisotropic quarkgluon plasma. United States: N. p., 2005.
Web. doi:10.1103/PhysRevD.72.034005.
Manuel, Cristina, Mrowczynski, Stanislaw, & Soltan Institute for Nuclear Studies ul. Hoza 69, PL  00681 Warsaw, Poland and Institute of Physics, Swietokrzyska Academy ul. Swietokrzyska 15, PL  25406 Kielce. Strongly and weakly unstable anisotropic quarkgluon plasma. United States. https://doi.org/10.1103/PhysRevD.72.034005
Manuel, Cristina, Mrowczynski, Stanislaw, and Soltan Institute for Nuclear Studies ul. Hoza 69, PL  00681 Warsaw, Poland and Institute of Physics, Swietokrzyska Academy ul. Swietokrzyska 15, PL  25406 Kielce. 2005.
"Strongly and weakly unstable anisotropic quarkgluon plasma". United States. https://doi.org/10.1103/PhysRevD.72.034005.
@article{osti_20711213,
title = {Strongly and weakly unstable anisotropic quarkgluon plasma},
author = {Manuel, Cristina and Mrowczynski, Stanislaw and Soltan Institute for Nuclear Studies ul. Hoza 69, PL  00681 Warsaw, Poland and Institute of Physics, Swietokrzyska Academy ul. Swietokrzyska 15, PL  25406 Kielce},
abstractNote = {Using explicit solutions of the QCD transport equations, we derive an effective potential for an anisotropic quarkgluon plasma which under plausible assumptions holds beyond the Hard Loop approximation. The configurations, which are unstable in the linear response approach, are characterized by a negative quadratic term of the effective potential. The signs of higherorder terms can be either negative or positive, depending on the parton momentum distribution. In the case of a Gaussian momentum distribution, the potential is negative and unbound from below. Therefore, the modes, which are unstable for gauge fields of small amplitude, remain unstable for arbitrary large amplitudes. We also present an example of a momentum distribution which gives a negative quadratic term of the effective potential but the whole potential has a minimum and it grows for sufficiently large gauge fields. Then, the system is weakly unstable. The character of the instability is important for the dynamical evolution of the plasma system.},
doi = {10.1103/PhysRevD.72.034005},
url = {https://www.osti.gov/biblio/20711213},
journal = {Physical Review. D, Particles Fields},
issn = {05562821},
number = 3,
volume = 72,
place = {United States},
year = {2005},
month = {8}
}