Comments on perturbative dynamics of non-commutative Yang–Mills theory

作者: Adi Armoni

DOI: 10.1016/S0550-3213(00)00557-5

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摘要: Abstract We study the U(N) non-commutative Yang–Mills theory at one-loop approximation. check renormalizability and gauge invariance of model calculate beta function. The interaction SU(N) bosons with U(1) boson plays an important role in consistency check. In particular, by itself is not consistent. also find that θ→0 limit does converge to ordinary SU(N)×U(1) commutative theory, even planar limit. Finally, we comment on UV/IR mixing.

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