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Comments on Perturbative Dynamics of Non-Commutative Yang-Mills Theory

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arxiv hep-th/0005208 v2 pith:4Y3AJWX5 submitted 2000-05-23 hep-th

classification hep-th
keywords theorygaugechecklimitnon-commutativeone-loopyang-millsapproximation
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We study the U(N) non-commutative Yang-Mills theory at the one-loop approximation. We check renormalizability and gauge invariance of the model and calculate the one-loop beta function. The interaction of the SU(N) gauge bosons with the U(1) gauge boson plays an important role in the consistency check. In particular, the SU(N) theory by itself is not consistent. We also find that the theta --> 0 limit of the U(N) theory does not converge to the ordinary SU(N) x U(1) commutative theory, even at the planar limit. Finally, we comment on the UV/IR mixing.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. IR Dynamics from UV Divergences: UV/IR Mixing, NCFT, and the Hierarchy Problem

    hep-ph 2019-09 conditional novelty 7.0 of 10

    In noncommutative Yukawa theory, the CPT-required pair of interaction orderings converts the one-loop ultraviolet quadratic divergence into an infrared pole that is reachable in the s-channel.

  2. Holographic Subregion Complexity and Fidelity Susceptibility in Noncommutative Yang--Mills Theory

    hep-th 2026-02 conditional novelty 6.0 of 10

    In the noncommutative Yang–Mills dual, holographic subregion complexity acquires a lower bound and a minimum-length scale, and strong subadditivity fails exactly at that scale.

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