論文

査読有り
2015年3月

On the continuity of the commutative limit of the 4d N=4 non-commutative super Yang-Mills theory

NUCLEAR PHYSICS B
  • Masanori Hanada
  • ,
  • Hidehiko Shimada

892
開始ページ
449
終了ページ
474
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1016/j.nuclphysb.2015.01.016
出版者・発行元
ELSEVIER SCIENCE BV

We study the commutative limit of the non-commutative maximally supersymmetric Yang-Mills theory in four dimensions (N = 4 SYM), where non-commutativity is introduced in the two spacelike directions. The commutative limits of non-commutative spaces are important in particular in the applications of non-commutative spaces for regularisation of supersymmetric theories (such as the use of non-commutative spaces as alternatives to lattices for supersymmetric gauge theories and interpretations of some matrix models as regularised supermembrane or superstring theories), which in turn can play a prominent role in the study of quantum gravity via the gauge/gravity duality. In general, the commutative limits are known to be singular and non-smooth due to UV/IR mixing effects. We give a direct proof that UV effects do not break the continuity of the commutative limit of the non-commutative N = 4 SYM to all order in perturbation theory, including non-planar contributions. This is achieved by establishing the uniform convergence (with respect to the non-commutative parameter) of momentum integrals associated with all Feynman diagrams appearing in the theory, using the same tools involved in the proof of finiteness of the commutative N = 4 SYM. (C) 2015 The Authors. Published by Elsevier B.V.

Web of Science ® 被引用回数 : 5

リンク情報
DOI
https://doi.org/10.1016/j.nuclphysb.2015.01.016
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000350092500022&DestApp=WOS_CPL
URL
http://www.scopus.com/inward/record.url?eid=2-s2.0-84922277737&partnerID=MN8TOARS
URL
http://orcid.org/0000-0002-6713-9002

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