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有限温度における最適化された摂動論
http://hdl.handle.net/2241/6688
http://hdl.handle.net/2241/6688b6b77156-6b2f-4f73-b76f-bc65c0224b5d
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A2306.pdf (91.1 kB)
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1.pdf (1.1 MB)
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Item type | Thesis or Dissertation(1) | |||||
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公開日 | 2007-07-25 | |||||
タイトル | ||||||
言語 | ja | |||||
タイトル | 有限温度における最適化された摂動論 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Optimized perturbation theory at finite temperature | |||||
言語 | ||||||
言語 | jpn | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_db06 | |||||
タイプ | doctoral thesis | |||||
アクセス権 | ||||||
アクセス権 | open access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
著者 |
知久, 季倫
× 知久, 季倫 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | The naive perturbation theory is known to break down at high temperature (T). This is because higher order terms are enhanced by the powers of T and eventually exceed the lower order terms even if the expansion parameter in the perturbation is small. These large terms at high T are called the hard thermal loops (HTLs). Therefore, we need to resum HTLs to obtain sensible results at high T. So far, several methods have been proposed to carry out this resummation. Asone of the promising candidates, self-consistent resummation method has been studied for a long time. However, it was found that the method has difficulties in the renormalization at finite T and in the proof of the Nambu-Goldstone theorem at finite T. In this thesis, we develop an optimized perturbation theory (OPT) at finite temperature in the O(N) Φ4 theory, which can resum higher order terms at finite T without the problems mentioned above. It has the following features: 1. Hard thermal loops are correctly resummed at high T. 2. The renormalization of the ultra-violet divergences can be carried out systematically in any given order of OPT. 3. The Nambu-Goldstone theorem is fulfilled for arbitrary N and the any givenorder of OPT. |
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言語 | en | |||||
内容記述 | ||||||
内容記述タイプ | Other | |||||
内容記述 | Bibliography: p. 85-90 | |||||
言語 | en | |||||
書誌情報 |
発行日 2000 |
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フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
取得学位 | ||||||
学位名 | 博士(物理学) | |||||
取得学位 | ||||||
学位名 | Doctor of Philosophy in Physics | |||||
学位授与大学 | ||||||
学位授与機関識別子Scheme | kakenhi | |||||
学位授与機関識別子 | 12102 | |||||
言語 | ja | |||||
学位授与機関名 | 筑波大学 | |||||
言語 | en | |||||
学位授与機関名 | University of Tsukuba | |||||
学位授与年度 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 1999 | |||||
学位授与年月日 | ||||||
学位授与年月日 | 2000-03-24 | |||||
報告番号 | ||||||
学位授与番号 | 甲第2306号 |