左右对称模型中有限温度和密度下的中微子色散关系
Neutrino dispersion relations at finite temperature and density in the Left-Right Symmetric Model
摘要：
本文利用Mellin求和方法计算了微扰论中最一般的单圈级左手中微子热自能。我们在有限温度和密度的量子场论的实时形式下进行计算，假设介质中存在超过反轻子的轻子。由此得到了左手中微子有效热质量的一个新的一般表达式，它依赖于轻子质量、玻色子质量、轻子化学势和温度。作为应用这些结果到上下文中的左右对称模型，我们计算左手中微子色散关系，我们得到相应的有效热质量的未破缺，宇称破缺和完全破缺对称相。
英文摘要：
In this work we calculate the most general left-handed neutrino thermal self-energy at one-loop order in perturbation theory using the Mellin summation technique. We perform this calculation in the real-time formalism of quantum field theory at finite temperature and density assuming that there exists an excess of leptons over antileptons in the medium. Thus, we obtain a novel general expression for the left-handed neutrino effective thermal mass which depends on lepton masses, boson masses, leptonic chemical potential and temperature. As an application of these results into the context of the Left-Right Symmetric Model, we calculate the left-handed neutrino dispersion relations and we obtain the corresponding effective thermal masses for the unbroken, parity-broken and fully-broken symmetry phases.
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