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Dynamics of Quantum Field Theories on Noncommutative Space-time Dynamics of Quantum Field Theories on Noncommutative Space-time 古永家, 忠之 コナガヤ, タダユキ KONAGAYA, Tadayuki 総合研究大学院大学 博士（理学） 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>&theta;</i> which<br />presents the non-commutativity to &infin;.　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>&theta;</i>.　Then, we study whether nonplaner diagrams disap-<br />pear,when we fix <i>&theta;</i> and take the external momentum <i>p</i> → &infin; 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. application/pdf 総研大甲第946号 thesis 2006-03-24 application/pdf application/pdf https://ir.soken.ac.jp/record/702/files/甲946_要旨.pdf https://ir.soken.ac.jp/record/702/files/甲946_本文.pdf https://ir.soken.ac.jp/records/702 eng