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

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 - 2014/7

Y1 - 2014/7

N2 - Abstract: We determine the missing finite-size corrections to the asymptotic one-loop dilatation operator of the real β-deformed 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 Δ0 ≤ 4.5.

AB - Abstract: We determine the missing finite-size corrections to the asymptotic one-loop dilatation operator of the real β-deformed 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 Δ0 ≤ 4.5.

KW - hep-th

U2 - 10.1007/jhep07(2014)150

DO - 10.1007/jhep07(2014)150

M3 - Journal article

SN - 1126-6708

VL - 2014

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

IS - 07

M1 - 150

ER -