Anomalous dimensions of high-spin operators beyond the leading order

By B. Basso, G. Korchemsky. 2006

179 citations recorded by the source corpus.

Anomalous dimensions of Wilson operators with large Lorentz spin scale logarithmically with the spin. Recent multi-loop QCD calculations of twist-two anomalous dimensions revealed the existence of interesting structure of the subleading corrections suppressed by powers of the Lorentz spin. We argue that this structure is a manifestation of the ‘self-tuning’ property of the multi-loop anomalous dimensions—in a conformal gauge theory, the anomalous dimension of Wilson operators is a function of their conformal spin which is modified in higher loops by an amount proportional to the anomalous dimension. Making use of the parity property of this function and incorporating the beta-function contribution, we demonstrate the existence of (infinite number of) relations between subleading corrections to the twist-two anomalous dimensions in QCD and its supersymmetric extensions. They imply that the subleading corrections to the anomalous dimensions suppressed by odd powers of the conformal spin can be expressed in terms of the lower-loops corrections suppressed by smaller even powers of the spin. We show that these relations hold true in QCD to all loops in the large β0 limit. In the N=4 SYM theory, we employ the AdS/CFT correspondence to argue that the same relations survive in the strong coupling regime for higher-twist scalar operators dual to a folded string rotating on the AdS3×S1.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7951b5a0d4b3512af0102d9e68156a2cfcb99e73

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Five-loop anomalous dimension of twist-two operators (2009, background): “A curious symmetry of the anomalous dimension of twist-two operators is the so-called reciprocity [43, 44, 45], which is a generalisation of the Gribov-Lipatov one-loop reciprocity.”
Large spin systematics in CFT (2015, unknown): “Conformal symmetry implies that the anomalous dimension is actually a function of the conformal spin [5] γl = f (”
Four-loop non-singlet splitting functions in the planar limit and beyond (2017, unknown): “First, the functional forms of the γns(N) are (conjectured to be) constrained by ‘self-tuning’ [66, 67], γns(N) = γu (N +σγns(N)−β(as)/as)) , (2.”
Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach (2010, unknown): “[32] proposed a modification of collinear evolution equations that allows the exponentiation of a subset of NLT terms (see also [33]); this was exploited in ref.”
An algebraic approach to the analytic bootstrap (2015, methodology): “First, following [6, 7], we change variables from the usual spin s to the conformal spin J”