Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-12-02
Phys.Rev. D55 (1997) 6887-6899
Physics
High Energy Physics
High Energy Physics - Phenomenology
12 TeX pages + 20 postscript figures, psfig style
Scientific paper
10.1103/PhysRevD.55.6887
In the framework of the linear sigma model, we study the time evolution of a system of classical $\sigma$ and pion fields coupled to quarks. For this purpose we solve numerically the classical transport equation for relativistic quarks coupled to the nonlinear Klein-Gordon equations for the meson fields. We examine evolution starting from variety of initial conditions corresponding to spherical droplets of hot quark matter, which might mimic the behaviour of a quark plasma produced in high-energy nucleus-nucleus collisions. For large droplets we find a strong amplification of the pion field that oscillates in time. This leads to a coherent production of pions with a particular isospin and so would have similar observable effects to a disoriented chiral condensate which various authors have suggested might be a signal of the chiral phase transition. The mechanism for amplification of the pion field found here does not rely on this phase transition and is better thought of as a "pion laser" which is driven by large oscillations of the $\sigma$ field.
Abada Abdellatif
Birse Michael C.
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