English

Exceptional non-renormalization properties and OPE analysis of chiral four-point functions in N=4 SYM_4

High Energy Physics - Theory 2009-11-07 v3

Abstract

We show that certain classes of apparently unprotected operators in N=4 SYM_4 do not receive quantum corrections as a consequence of a partial non-renormalization theorem for the 4-point function of chiral primary operators. We develop techniques yielding the asymptotic expansion of the 4-point function of CPOs up to order O(\lambda^2) and we perform a detailed OPE analysis. Our results reveal the existence of new non-renormalized operators of approximate dimension 6.

Keywords

Cite

@article{arxiv.hep-th/0103230,
  title  = {Exceptional non-renormalization properties and OPE analysis of chiral four-point functions in N=4 SYM_4},
  author = {G. Arutyunov and B. Eden and A. C. Petkou and E. Sokatchev},
  journal= {arXiv preprint arXiv:hep-th/0103230},
  year   = {2009}
}

Comments

an error in Sect. 4 corrected; references added