有限化学势下的超软费米激发
Ultra-soft fermionic excitation at finite chemical potential
摘要:
以前曾有人提出,在高温下具有汤川相互作用的无质量费米子和标量玻色子系统($T$)中,尽管光谱权重很小,但会产生超软费米子激发。在本文中,我们研究如何在有限的化学势($μ$)的激发修改。我们与存在的超软模式的对称性,特别是电荷共轭,和一个超对称性的自由系统,这是自发打破有限的温度和有限的密度效应,如前所述的列别捷夫和Smilga。一个非零的化学势明确地打破了这两种对称性,并且在零温度时最大,此时模式不再存在。详细的计算表明,超软激发持续只要$T\gtrsim μ$。
英文摘要:
It has been suggested previously that an ultra-soft fermionic excitation develops, albeit with a small spectral weight, in a system of massless fermions and scalar bosons with Yukawa interaction at high temperature ($T$). In this paper we study how this excitation is modified at finite chemical potential ($μ$). We relate the existence of the ultra-soft mode to symmetries, in particular charge conjugation, and a supersymmetry of the free system which is spontaneously broken by finite temperature and finite density effects, as argued earlier by Lebedev and Smilga. A non vanishing chemical potential breaks both symmetries explicitly, and maximally at zero temperature where the mode ceases to exist. A detailed calculation indicates that the ultra-soft excitation persists as long as $T\gtrsim μ$.
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