## The complete one-loop dilatation operator of planar real beta-deformed N=4 SYM theory

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**The complete one-loop dilatation operator of planar real beta-deformed N=4 SYM theory.** / Fokken, Jan; Sieg, Christoph; Wilhelm, Matthias.

Research output: Contribution to journal › Journal article › Research › peer-review

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*Journal of High Energy Physics (Online)*, vol. 2014, no. 07, 150. https://doi.org/10.1007/JHEP07(2014)150

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*Journal of High Energy Physics (Online)*,

*2014*(07), [150]. https://doi.org/10.1007/JHEP07(2014)150

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TY - JOUR

T1 - The complete one-loop dilatation operator of planar real beta-deformed N=4 SYM theory

AU - Fokken, Jan

AU - Sieg, Christoph

AU - Wilhelm, Matthias

PY - 2014/1/1

Y1 - 2014/1/1

N2 - We determine the missing finite-size corrections to the asymptotic one-loop dilatation operator of the real $\beta$-deformed $\mathcal{N}=4$ 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 $\Delta_0 \leq 4.5$.

AB - We determine the missing finite-size corrections to the asymptotic one-loop dilatation operator of the real $\beta$-deformed $\mathcal{N}=4$ 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 $\Delta_0 \leq 4.5$.

KW - hep-th

U2 - 10.1007/JHEP07(2014)150

DO - 10.1007/JHEP07(2014)150

M3 - Journal article

VL - 2014

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

SN - 1126-6708

IS - 07

M1 - 150

ER -

ID: 227488883