2010/06/30 by Yuri Makeenko, Poul Olesen · 5 citations
Mathematics · Physics and Astronomy · #Ansatz #Black Holes and Theoretical Physics #Boundary (topology) #Boundary value problem #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Path integral formulation #Physics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Scattering #Scattering amplitude #Semiclassical physics #String (physics) #String field theory #Trajectory #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep08(2010)095
published in Journal of High Energy Physics 2010(8) (Springer Nature) · 20pp., 2 figures; v2: minor changes, to appear in JHEP
arxiv created 2010/07/28 · openalex publication_date 2010/08/01 · arxiv updated 2014/11/21 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
By properly treating the path integral over the boundary value of the Liouville field (associated with reparametrizations of the boundary contour) in open string theory, we derive consistent off-shell scattering amplitudes in d=26 dimensions. In d<26 we consider a recently proposed boundary ansatz which reproduces a semiclassical correction to the classical string (known as the Luscher term) and obtain in the semiclassical approximation a linear Regge trajectory with the intercept (d-2)/24. We associate it with the quark-antiquark Regge trajectory in large-N QCD and explain why it dominates over perturbative QCD when t > -few GeV2.