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And, we calculate the effective action of non-commutative gauge theories to see\u003cbr /\u003einfrared singular terms due to UV/IR mixing. 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Dynamics of Quantum Field Theories on Noncommutative Space-time
https://ir.soken.ac.jp/records/702
https://ir.soken.ac.jp/records/702d8888b2c-e95d-4440-aec8-739473e9ae5f
名前 / ファイル | ライセンス | アクション |
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Item type | 学位論文 / Thesis or Dissertation(1) | |||||
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公開日 | 2010-02-22 | |||||
タイトル | ||||||
タイトル | Dynamics of Quantum Field Theories on Noncommutative Space-time | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Dynamics of Quantum Field Theories on Noncommutative Space-time | |||||
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_46ec | |||||
資源タイプ | thesis | |||||
著者名 |
古永家, 忠之
× 古永家, 忠之 |
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フリガナ |
コナガヤ, タダユキ
× コナガヤ, タダユキ |
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著者 |
KONAGAYA, Tadayuki
× KONAGAYA, Tadayuki |
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学位授与機関 | ||||||
学位授与機関名 | 総合研究大学院大学 | |||||
学位名 | ||||||
学位名 | 博士(理学) | |||||
学位記番号 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 総研大甲第946号 | |||||
研究科 | ||||||
値 | 高エネルギー加速器科学研究科 | |||||
専攻 | ||||||
値 | 14 素粒子原子核専攻 | |||||
学位授与年月日 | ||||||
学位授与年月日 | 2006-03-24 | |||||
学位授与年度 | ||||||
2005 | ||||||
要旨 | ||||||
内容記述タイプ | Other | |||||
内容記述 | There are some peculiar phenomena in non-commutative field theories. One is<br />the planer limit that nonplaner diagrams arising from non-commutativity of space-<br />time disappear in the maximal non-commmutativity. We send the parameter <i>θ</i> which<br />presents the non-commutativity to ∞. The other is the UV/IR mixing that ultra-<br />violet divergences in the commutative case change into infrared divergences due to<br />non-commutative parameter <i>θ</i>. Then, we study whether nonplaner diagrams disap-<br />pear,when we fix <i>θ</i> and take the external momentum <i>p</i> → ∞ limit instead. We<br />perform explicit two loop calculation to confirm the above limit by using perturbation<br />theory. And, we calculate the effective action of non-commutative gauge theories to see<br />infrared singular terms due to UV/IR mixing. We discuss the meaning of the terms<br />from the point of view of instability in the system. | |||||
所蔵 | ||||||
値 | 有 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf |