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Mass Renormalization in the Nelson Model
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| Title: | Mass Renormalization in the Nelson Model |
| Other Titles: | ネルソンモデルにおける質量のくりこみ |
| Authors: | 大澤, 進 Browse this author |
| Issue Date: | 23-Mar-2017 |
| Publisher: | Hokkaido University |
| Abstract: | The asymptotic behavior of the effective mass m eff (Λ) of the so-called Nelson model in quantum field theory is considered, where Λ is an ultraviolet cutoff parameter of the model. Let mbe the bare mass of the model. It is shown that for sufficiently small coupling constant |α|of the model,m eff(Λ)/m can be expanded as m eff(Λ)/m = 1 +∑1n=1an(Λ)α2n. A physical folklore is that an(Λ)∼[log Λ](n |
| Conffering University: | 北海道大学 |
| Degree Report Number: | 甲第12684号 |
| Degree Level: | 博士 |
| Degree Discipline: | 理学 |
| Examination Committee Members: | (主査) 教授 新井 朝雄, 教授 洞 彰人, 准教授 宮尾 忠宏 |
| Degree Affiliation: | 理学院（数学専攻） |
| Type: | theses (doctoral) |
| URI: | http://hdl.handle.net/2115/65333 |
| Appears in Collections: | 学位論文 (Theses) > 博士 （理学）
課程博士 (Doctorate by way of Advanced Course) > 理学院(Graduate School of Science)
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