论文标题
动力学主要中微子质量和轴II：轴向背景和异常项包含
Dynamical Majorana Neutrino Masses and Axions II: Inclusion of Axial Background and Anomaly Terms
论文作者
论文摘要
我们扩展了对schwinger-dyson的先前出版物的研究\ cite {amsot}在费米和伪级领域的动力学生成（类似轴突状的颗粒（ALP）），在包含Yukawa类型相互作用的字段理论中，通过包含Yukawa类型的相互作用，通过结合摩毛和/或（常数）轴心背景字段。后者与早期宇宙中瘦素发生的一些洛伦兹（和CPT）有关。我们讨论了Hermitian和非Yukawa的相互作用，异常术语和轴向背景，它们在某些辐射（异常的）Majorana无菌中微子群众的背景下都是激励的，这些中微子中性中微子群体中有效，低功能，有效的场理论，包括有吸引力的四叶含量相互作用。我们表明，对于冬宫的育川相互作用，没有（伪）标量的动力学质量产生，但是有Fermion动力学生成，但前提是增加了一个裸露的（伪）标量质量。在这种情况下，Hermitian异常术语在诱导Fermions的动态质量产生中起着相似的作用，就像四效的吸引力相互作用。对于反Yukawa的抗肿瘤相互作用，抗武器异常可抵抗质量产生。轴向背景术语有助于抗Yukawa相互作用引起的动态质量产生，从某种意义上说，背景的大小越大，动态质量就越大。然而，对于Hermitian Yukawa的相互作用，情况恰恰相反，从某种意义上说，背景就越大，动态质量就越小。我们还比较了无菌中微子模型中异常诱导的动力质量与辐射费质量的比较，并发现在动态质量发生的情况下，后者在异常产生的辐射无菌 - 中缺乏质质量上占主导地位。
We extend the study of a previous publication \cite{amsot} on Schwinger-Dyson dynamical mass generation for fermions and pseudoscalar fields (axion-like particles (ALP)), in field theories containing Yukawa type interactions between the fermions and ALPs, by incorporating anomaly terms and/or (constant) axial background fields. The latter are linked to some Lorentz (and CPT) violating scenarios for leptogenesis in the early Universe. We discuss both Hermitian and non-Hermitian Yukawa interactions, anomaly terms and axial backgrounds, which are all motivated in the context of some scenarios for radiative (anomalous) Majorana sterile neutrino masses in string-isnpired, low-energy, effective field theories, including attractive four-fermion interactions. We show that, for a Hermitian Yukawa interaction, there is no (pseudo)scalar dynamical mass generation, but there is fermion dynamical mass generation, provided one adds a bare (pseudo)scalar mass. For this case, the hermitian anomaly terms play a similar role in inducing dynamical mass generation for fermions as the four-fermion attractive interactions. For antihermitian Yukawa interactions, an antihermitian anomaly resists mass generation. The axial background terms assist dynamical mass generation induced by antihermitian Yukawa interactions, in the sense that the larger the magnitude of the background, the larger the dynamical mass. For hermitian Yukawa interactions, however, the situation is the opposite, in the sense that the larger the background the smaller the dynamical mass. We also compare the anomaly-induced dynamical mass with the radiative fermion mass in models of sterile neutrinos, and find that in cases where the dynamical mass occurs, the latter dominates over the anomalously generated radiative sterile-neutrino mass.
