Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-04-18
Phys.Rev. D72 (2005) 034005
Physics
High Energy Physics
High Energy Physics - Phenomenology
13 pages, 1 figure, revised, to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.72.034005
Using explicit solutions of the QCD transport equations, we construct an effective potential for an anisotropic quark-gluon 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 higher order 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.
Manuel Cristina
Mrowczynski Stanislaw
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