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PERTURBATIVE ULTRAVIOLET AND INFRARED DYNAMICS OF NONCOMMUTATIVE QUANTUM FIELD THEORY

机译:非交换量子场理论的微扰紫外线和红外动力学

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摘要

Perturbative aspects of ultraviolet and infrared dynamics of noncommutative quantum field theory is examined in detail. It is observed that high loop momentum contribution to the nonplanar diagram develops a new infrared singularity with respect to the external momentum. This singular behavior is closely related to that of ultraviolet divergence of planar diagram. It is also shown that such a relation is precise in noncommutative Yang-Mills theory, but the same feature does not persist in noncommutative generalization of QED.
机译:详细研究了非交换量子场论的紫外和红外动力学的摄动方面。可以观察到,对非平面图的高回路动量贡献相对于外部动量产生了新的红外奇异性。这种奇异的行为与平面图的紫外线发散的行为密切相关。还表明,这种关系在非可交换的Yang-Mills理论中是精确的,但是在QED的非可交换一般化中并没有保持相同的特征。

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