A piece of cake: the ground-state energies in gamma_i-deformed N=4 SYM theory
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- Fokken2014_Article_APieceOfCakeTheGround-stateEne
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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.
Original language | English |
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Article number | 078 |
Journal | Journal of High Energy Physics (Online) |
Volume | 2014 |
Issue number | 09 |
Number of pages | 23 |
ISSN | 1126-6708 |
DOIs | |
Publication status | Published - 26 May 2014 |
Externally published | Yes |
- hep-th
Research areas
ID: 227489011