Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-12-15
Nucl.Phys. A741 (2004) 323-357
Physics
High Energy Physics
High Energy Physics - Phenomenology
22 pages 5 figures. to appear in Nucl. Phys. A
Scientific paper
10.1016/j.nuclphysa.2004.06.007
We study static and dynamical critical phenomena of chiral symmetry breaking in a two-flavor Nambu--Jona-Lasinio constituent quark model. We obtain the low-energy effective action for scalar and pseudoscalar degrees of freedom to lowest order in quark loops and to quadratic order in the meson fluctuations around the mean field. The \emph{static} limit of critical phenomena is shown to be described by a Ginzburg-Landau effective action including \emph{spatial} gradients. Hence \emph{static} critical phenomena is described by the universality class of the O(4) Heisenberg ferromagnet. \emph{Dynamical} critical phenomena is studied by obtaining the equations of motion for pion fluctuations. We find that for $T
Boyanovsky Daniel
de Vega Hector J.
Wang Shang-Yung
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