A piece of cake: the ground-state energies in gamma_i-deformed N=4 SYM theory

Jan Fokken, Christoph Sieg, Matthias Wilhelm

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

23 Citationer (Scopus)
16 Downloads (Pure)

Abstract

In the non-supersymmetric gamma_i-deformed N=4 SYM theory, the scaling dimensions of the operators tr[Z^L] composed of L scalar fields Z receive finite-size wrapping and prewrapping corrections in the 't Hooft limit. In this paper, we calculate these scaling dimensions to leading wrapping order directly from Feynman diagrams. For L>=3, the result is proportional to the maximally transcendental `cake' integral. It matches with an earlier result obtained from the integrability-based Luescher corrections, TBA and Y-system equations. At L=2, where the integrability-based equations yield infinity, we find a finite rational result. This result is renormalization-scheme dependent due to the non-vanishing beta-function of an induced quartic scalar double-trace coupling, on which we have reported earlier. This explicitly shows that conformal invariance is broken - even in the 't Hooft limit.
OriginalsprogEngelsk
Artikelnummer078
TidsskriftJournal of High Energy Physics (Online)
Vol/bind2014
Udgave nummer09
Antal sider23
ISSN1126-6708
DOI
StatusUdgivet - 26 maj 2014
Udgivet eksterntJa

Citationsformater