Nonequilibrium Pion Dynamics near the Critical Point in a Constituent Quark Model
學年 93
學期 1
出版（發表）日期 2004-09-06
作品名稱 Nonequilibrium Pion Dynamics near the Critical Point in a Constituent Quark Model
作品名稱（其他語言）
著者 D. Boyanovsky; H. J. de Vega; S.-Y. Wang
單位
出版者
著錄名稱、卷期、頁數 Nuclear Physics A 741, p.323-357
摘要 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 static limit of critical phenomena is shown to be described by a Ginzburg–Landau effective action including spatial gradients. Hence static critical phenomena is described by the universality class of the O(4) Heisenberg ferromagnet. Dynamical critical phenomena is studied by obtaining the equations of motion for pion fluctuations. We find that for T<Tc the are stable long-wavelength pion excitations with dispersion relation ωπ(k)=k described by isolated pion poles. The residue of the pion pole vanishes near Tc as Z∝1/|ln(1−T/Tc)| and long-wavelength fluctuations are damped out by Landau damping on a time scale trel(k)∝1/k, reflecting critical slowing down of pion fluctuations near the critical point. At the critical point, the pion propagator features mass shell logarithmic divergences which we conjecture to be the harbinger of a (large) dynamical anomalous dimension. We find that while the classical spinodal line coincides with that of the Ginzburg–Landau theory, the growth rate of long-wavelength spinodal fluctuations has a richer wavelength dependence as a consequence of Landau damping. We argue that Landau damping prevents a local low-energy effective action in terms of a derivative expansion in real time at least at the order studied.
關鍵字
語言 en
ISSN 0375-9474
期刊性質 國外
收錄於 SCI
產學合作
通訊作者 S.-Y. Wang
審稿制度 是
國別 NLD
公開徵稿
出版型式 ,電子版,紙本
相關連結

機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/122306 )