Spontaneous symmetry breaking in high energy critical environment by thermal quantum field theory

2017 Fiscal Year Final Research Report

• Project/Area Number: 26400250
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: Hiroshima University
• Principal Investigator: Inagaki Tomohiro 広島大学, 情報メディア教育研究センター, 教授 (80301307)
• Research Collaborator: Odintsov Sergei D. ; Kimura Daiji ; Kitadono Yoshio ; Sakamoto Hiroki ; Nakanishi Ryota
• Project Period (FY): 2014-04-01 – 2018-03-31
• Keywords: 自発的対称性の破れ / 非平衡熱場の量子論 / 南部、ヨナ・ラシニオ模型 / インフレーション / 宇宙背景輻射の揺らぎ

Outline of Final Research Achievements

We have studied high energy critical phenomena associated with spontaneous symmetry breaking based on thermal quantum field theory.
As a fundamental theory for spontaneous symmetry breaking, we have constructed a field theory around oscillating solutions of the equation of motion for the Higgs potential. A procedure to suppress the gauge dependence has been proposed in the analysis of Schwinger-Dyson equation for strong coupling QED. We have also evaluated cosmic microwave background fluctuations induced by the primordial inflation. For a fundamental scalar inflaton field, it is found that the two-loop correction on the fluctuations is much larger than the leading-log correction. Introducing a composite scalar inflaton constructed by fermion and anti-fermion, we have proposed the gauged Nambu-Jona-Lasinio inflation model. It is found that the model represents an attractor which can not be found in a fundamental scalar model.

Free Research Field

素粒子論