Effective String Theory and QCD Scattering Amplitudes

Abstract

QCD string is formed at the distances larger than the confinement scale and can be described by the Polchinski--Strominger effective string theory with a nonpolynomial action, which has nevertheless a well-defined semiclassical expansion around a long-string ground state. We utilize modern ideas about the Wilson-loop/scattering-amplitude duality to calculate scattering amplitudes and show that the expansion parameter in the effective string theory is small in the Regge kinematical regime. For the amplitudes we obtain the Regge behavior with a linear trajectory of the intercept (d-2)/24 in d dimensions, which is computed semiclassically as a momentum-space Luscher term, and discuss an application to meson scattering amplitudes in QCD.

24pp., 1 figure; v2: 1 reference & 1 acknowledgment added; v3: to appear in PRD

References in corpus (5)

• Gluon scattering amplitudes at strong coupling
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence
• Implementation of the Duality between Wilson loops and Scattering Amplitudes in QCD

Cited by in corpus (1)

• An interplay between static potential and Reggeon trajectory for QCD string