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Computation of the RG Improved Effective Potential: Details of the Numerical Analysis
https://nara-u.repo.nii.ac.jp/records/2001631
https://nara-u.repo.nii.ac.jp/records/2001631d5e8767c-4dd1-4ad6-a5d6-a4b299707069
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
Computation of the RG Improved Effective Potential: Details of the Numerical Analysis
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| アイテムタイプ | 紀要論文 / Departmental Bulletin Paper(1) | |||||||||||||
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| 公開日 | 2011-02-17 | |||||||||||||
| タイトル | ||||||||||||||
| タイトル | Computation of the RG Improved Effective Potential: Details of the Numerical Analysis | |||||||||||||
| 言語 | ||||||||||||||
| 言語 | eng | |||||||||||||
| 資源タイプ | ||||||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||||
| 資源タイプ | departmental bulletin paper | |||||||||||||
| 著者 |
Hisao,NAKKAGAWA
× Hisao,NAKKAGAWA
× Hiroshi,YOKOTA
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| 所属 | ||||||||||||||
| 値 | 教養部 | |||||||||||||
| 所属 | ||||||||||||||
| 値 | 教養部 | |||||||||||||
| 抄録 | ||||||||||||||
| 内容記述タイプ | Abstract | |||||||||||||
| 内容記述 | Recently we have applied the newly proposed renormalization group (RG) improvement procedure of the finite temperature effective potential to the massive φ4 model, and have shown that i) the massive scalar φ4 model has a rich three-phase structure at T≠0, two of them are not seen in the ordinary perturbative analysis, and that ii) the 0(N) symmetric massive φ4 model has a two-phase structure, one of them are not seen in the perturbative analysis. Both results indicate that the new RG improvement procedure is really an efficient procedure that can incorpolate\nthe nonperturbative effect by resumming correctly the dominant large erturbative\ncorrections through the RG technique. To reach the above observations,however,\na bit tedious numerical analysis is unevitable, which is the cost to be paid. In thispaper we present the details of the numerical analysis; where the trouble in numerical computation may arise, how it can be resolved, and what is the reliability of the numerical computation. The last problem, i.e., reliability of the computation is studied by comparing the results of numerical computation with that of the high temperature expansion of the full formula. We find that the method we have made use of in the numerical computation is quite successful, giving even in the most troublesome cases the three significant figures agreement with the high temperature expansion. Results on the phase structure of the 0(N) symmetric massive φ4 model obtained by the numerical analysis are briefly given. | |||||||||||||
| 書誌情報 |
奈良大学紀要 Memoirs of the Nara University 号 26, p. 1-9, 発行日 1998-03-01 |
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| 出版者 | ||||||||||||||
| 出版者 | 奈良大学 | |||||||||||||
| ISSN | ||||||||||||||
| 収録物識別子タイプ | PISSN | |||||||||||||
| 収録物識別子 | 03892204 | |||||||||||||
| 資源タイプ | ||||||||||||||
| 内容記述タイプ | Other | |||||||||||||
| 内容記述 | Departmental Bulletin Paper | |||||||||||||
