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arXiv 1105.0423hep-phnucl-th
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高温下Yukawa理论中的超软费米子模

Ultrasoft Fermionic Mode in Yukawa Theory at High Temperature

Yoshimasa Hidaka, Daisuke Satow, Teiji Kunihiro

摘要:

本文探讨了在无质量费米子(耦合常数为g)的Yukawa理论中,在极高温度下是否存在超软费米子模。我们发现,对于超软动量p,费米子传播子在ω= \pm p/3-i ^n处有一个极点,其中n \sim g ^4 T ln 1/g,留数为Z \sim g ^2。结果表明,一个需要考虑的渐近质量和硬粒子的阻尼率得到一个合理的结果,这样一个超软费米子模式;可能的顶点校正变成不必要的标量耦合相比,规范耦合。

英文摘要:

We explore whether an ultrasoft fermionic mode exists at extremely high temperature in Yukawa theory with massless fermion (coupling constant is g). We find that the fermion propagator has a pole at ω= \pm p/3-iζ, for ultrasoft momentum p, where ζ\sim g^4T ln 1/g, and the residue is Z \sim g^2. It is shown that one needs to take into account the asymptotic masses and the damping rate of hard particles to get a sensible result for such an ultrasoft fermionic mode; possible vertex correction turns out unnecessary for the scalar coupling in contrast to the gauge coupling.

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