标题： 费米电流承载的宇宙弦：零温极限与状态方程 显示英文标题

标题： Fermionic current-carrying cosmic strings: zero-temperature limit and equation of state

摘要： 对于超导宇宙弦的物态方程进行了解析推导，该宇宙弦的电流来源于费米零模，并且忽略了费米子对背景的反作用。 首先证明了由于零模费米子与形成弦的Higgs场和规范场之间的相互作用（或缺乏相互作用），零模费米子遵循零温分布。 接着发现单位长度的能量U和张力T与背景弦的质量m之间满足简单的关系： U+T=2m*m。简要讨论了宇宙学后果。 显示英文摘要

摘要： The equation of state for a superconducting cosmic string whose current is due to fermionic zero modes is derived analytically in the case where the back-reaction of the fermions to the background is neglected. It is first shown that the zero mode fermions follow a zero temperature distribution because of their interactions (or lack thereof) with the string-forming Higgs and gauge fields. It is then found that the energy per unit length U and the tension T are related to the background string mass m through the simple relation U+T=2m*m. Cosmological consequences are briefly discussed.