A piece of cake: the ground-state energies in gamma_i-deformed N=4 SYM theory
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A piece of cake : the ground-state energies in gamma_i-deformed N=4 SYM theory. / Fokken, Jan; Sieg, Christoph; Wilhelm, Matthias.
In: Journal of High Energy Physics (Online), Vol. 2014, No. 09, 078, 26.05.2014.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - A piece of cake
T2 - the ground-state energies in gamma_i-deformed N=4 SYM theory
AU - Fokken, Jan
AU - Sieg, Christoph
AU - Wilhelm, Matthias
PY - 2014/5/26
Y1 - 2014/5/26
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.
AB - 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.
KW - hep-th
U2 - 10.1007/JHEP09(2014)078
DO - 10.1007/JHEP09(2014)078
M3 - Journal article
VL - 2014
JO - Journal of High Energy Physics (Online)
JF - Journal of High Energy Physics (Online)
SN - 1126-6708
IS - 09
M1 - 078
ER -
ID: 227489011