Dynamics of Quantum Field Theories on Noncommutative Space-time

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タイトル
Dynamics of Quantum Field Theories on Noncommutative Space-time
著者
古永家, 忠之
著者
コナガヤ, タダユキ
著者
KONAGAYA, Tadayuki
学位授与大学
総合研究大学院大学
取得学位
博士（理学）
学位授与番号
甲第946号
学位授与年月日
2006-03-24

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説明

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 θ 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 θ.　Then, we study whether nonplaner diagrams disap-<br />pear,when we fix θ and take the external momentum p → ∞ 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.

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総研大甲第946号

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