@misc{oai:ir.soken.ac.jp:00000702, author = {古永家, 忠之 and コナガヤ, タダユキ and KONAGAYA, Tadayuki}, month = {2016-02-17, 2016-02-17}, note = {There are some peculiar phenomena in non-commutative field theories. One is
the planer limit that nonplaner diagrams arising from non-commutativity of space-
time disappear in the maximal non-commmutativity. We send the parameter θ which
presents the non-commutativity to ∞. The other is the UV/IR mixing that ultra-
violet divergences in the commutative case change into infrared divergences due to
non-commutative parameter θ. Then, we study whether nonplaner diagrams disap-
pear,when we fix θ and take the external momentum p → ∞ limit instead. We
perform explicit two loop calculation to confirm the above limit by using perturbation
theory. And, we calculate the effective action of non-commutative gauge theories to see
infrared singular terms due to UV/IR mixing. We discuss the meaning of the terms
from the point of view of instability in the system., application/pdf, 総研大甲第946号}, title = {Dynamics of Quantum Field Theories on Noncommutative Space-time}, year = {} }