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arXiv 0802.1286hep-phhep-thmath-phmath.MPmath.RT
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(超对称-)Nambu $-$ Jona-Lasinio模型和具有左右非对称Majorana质量项的规范理论中的动力学质量产生和集体激发

Dynamical Mass Generations and Collective Excitations in the (Supersymmetric-)Nambu$-$Jona-Lasinio Model and a Gauge Theory with Left-Right-Asymmetric Majorana Mass Terms

Tadafumi Ohsaku

摘要:

研究了具有左右不对称Majorana质量项的Nambu $-$ Jona-Lasinio(NJL)模型(对应于中微子的单味II型跷跷板情形)的有效势面结构.在动力学产生Dirac质量后,出现了与普通NJL模型类似的两个集体模,其中相模(相子)对应于Majorana质量参数为零的Majoron或Pion,具有激发质量。用数学方法研究了相子作为赝南武-戈德斯通玻色子的产生机制,并将其归纳为一个定理(称为广义南武-戈德斯通定理)。相子的质量也在NJL型模型的超对称版本中进行了评估,相子质量与今天普遍接受的轴子质量相当。在中微子跷跷板机制的背景下,构造了一个$SU(2_{c})$规范模型,考察了动力学质量函数的Schwinger-Dyson方程.给出了相子的衰变模式、相子的非线性西格玛模型等物理意义。本文提出的方法/结果可以应用于对Kobayashi-Maskawa矩阵的起源的理解。

英文摘要:

The structure of effective potential surface of the Nambu$-$Jona-Lasinio (NJL) model with right-left asymmetric Majorana mass terms (corresponds to the single-flavor type-II seesaw situation of neutrino) is investigated. After the dynamical generation of Dirac mass, two collective modes appear similar to the case of ordinary NJL model, and the phase mode (phason), which corresponds to majoron or pion at vanishing Majorana mass parameter(s), has an excitation mass. The mechanism of generation of phason as a pseudo Nambu-Goldstone boson is examined by a mathematical manner, summarized into a theorem (claims as the generalized Nambu-Goldstone theorem). The mass of phason is also evaluated in a supersymmetric version of the NJL-type model, and phason mass takes the order of that of axion commonly accepted today. An $SU(2_{c})$-gauge model is constructed for the context of neutrino seesaw mechanism, and the Schwinger-Dyson equation of dynamical mass functions is examined. Several physical implications such as decay modes of phason, a non-linear sigma model for phason are given. It is proposed that the method/result of this paper can be applied to an understanding on the origin of the Kobayashi-Maskawa matrix.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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