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

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• Consistent Off-Shell Tree String Amplitudes
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Cited by in corpus (7)

• The Effective Theory of Long Strings
• Effective QCD string beyond Nambu-Goto
• Lightlike contours with fermions
• The QCD scattering amplitude from area behaved Wilson loops
• An interplay between static potential and Reggeon trajectory for QCD string
• Scattering amplitudes of regularized bosonic strings
• Scattering Amplitudes of QCD String