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

Jan Fokken; Christoph Sieg; Matthias Wilhelm

doi:10.1007/JHEP09(2014)078

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

Jan Fokken, Christoph Sieg, Matthias Wilhelm

16 Citationer (Scopus)

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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.

Originalsprog	Engelsk
Artikelnummer	078
Tidsskrift	Journal of High Energy Physics (Online)
Vol/bind	2014
Udgave nummer	09
Antal sider	23
ISSN	1126-6708
DOI	https://doi.org/10.1007/JHEP09(2014)078
Status	Udgivet - 26 maj 2014
Udgivet eksternt	Ja

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10.1007/JHEP09(2014)078Licens: CC BY

Fokken2014_Article_APieceOfCakeTheGround-stateEneForlagets udgivne version, 547 KB

Citationsformater

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AU - Wilhelm, Matthias

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N2 - 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.

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

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