The complete one-loop dilatation operator of planar real beta-deformed N=4 SYM theory release_rev_56c49743-c661-4aee-a913-58e72bbcb61c

by Jan Fokken, Christoph Sieg, Matthias Wilhelm

Released as a report .

2015  

Abstract

We determine the missing finite-size corrections to the asymptotic one-loop dilatation operator of the real β-deformed N=4 SYM theory for the gauge groups U(N) and SU(N) in the 't Hooft limit. In the SU(N) case, the absence of the U(1) field components leads to a new kind of finite-size effect, which we call prewrapping. We classify which states are potentially affected by prewrapping at generic loop orders and comment on the necessity to include it into the integrability-based description. As a further result, we identify classes of n-point correlation functions which at all loop orders in the planar theory are given by the values of their undeformed counterparts. Finally, we determine the superconformal multiplet structure and one-loop anomalous dimensions of all single-trace states with classical scaling dimension Δ_0 ≤ 4.5.
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Type  report
Stage   accepted
Date   2015-03-30
Version   v3
Language   en ?
Number  HU-MATH-2013-22, HU-EP-13/72
arXiv  1312.2959v3
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