The role of leading twist operators in the Regge and Lorentzian OPE limits

• Type: Article in International Scientific Journal
• Date: 2014

Authors

Miguel S Costa (Author) FCUP; James Drummond (Author) Other; Vasco Goncalves (Author) Other; Joao Penedones (Author) Other

Journal

Title: JHEP: Journal of High Energy Physics

Vol. 2014

ISSN: 1029-8479

Publisher: Springer

Indexing

ISI Web of Knowledge - 15 Citations

Scopus - 16 Citations

Scientific classification

FOS: Natural sciences > Physical sciences

Other information

Authenticus ID: P-009-CHF

DOI: 10.1007/jhep04(2014)094

Abstract (EN): We study two kinematical limits, the Regge limit and the Lorentzian OPE limit, of the four-point function of the stress-tensor multiplet in Super Yang-Mills at weak coupling. We explain how both kinematical limits are controlled by the leading twist operators. We use the known expression of the four-point function up to three loops, to extract the pomeron residue at next-to-leading order. Using this data and the known form of pomeron spin up to next-to-leading order, we predict the behaviour of the four-point function in the Regge limit at higher loops. Specifically, we determine the leading log behaviour at any loop order and the next-to-leading log at four loops. Finally, we check the consistency of our results with conformal Regge theory. This leads us to predict the behaviour around J=1 of the OPE coefficient of the spin J leading twist operator in the OPE of two chiral primary operators

Language: English

Type (Professor's evaluation): Scientific