OPE for null Wilson loops and open spin chains

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

Maximal helicity-violating scattering amplitudes in N= 4 supersymmetric Yang-Mills theory are dual to Wilson loops on closed null polygons. We perform their operator product expansion analysis in two-dimensional kinematics in the soft-collinear approximation which corresponds to the case when some light-cone distances vanish. We construct the expansion in terms of multi-particle "heavy"-light operators, where the "heavy" fields are identified with the Wilson lines defining the OPE channel and the light fields emerge from the curvature of the contour. The correlation function of these define the remainder function. We study the dilatation operator for these operators at one-loop order and find that it corresponds to a non-compact open spin chain. This provides an alternative view on elementary excitations propagating on the GKP string at weak coupling, which now correspond to particles traveling along an open spin chain. The factorized structure of the Wilson loop in the soft limit allows one to represent the two-loop correction to the octagon Wilson loop as a convolution formula and find the corresponding remainder function.

Original languageEnglish (US)
Pages (from-to)280-284
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume709
Issue number3
DOIs
StatePublished - Mar 19 2012

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operators
expansion
polygons
elementary excitations
Yang-Mills theory
convolution integrals
scattering amplitude
cones
kinematics
strings
curvature
products
approximation

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

OPE for null Wilson loops and open spin chains. / Belitsky, Andrei.

In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 709, No. 3, 19.03.2012, p. 280-284.

Research output: Contribution to journalArticle

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