The analytic continuation of the high-energy parton-parton scattering amplitude with an IR cutoff
arXiv:hep-ph/0110069 · doi:10.1016/S0550-3213(02)00022-6
Abstract
The high-energy parton-parton scattering amplitude can be described, in the c.m.s., by the expectation value of two infinite Wilson lines, running along the classical trajectories of the two colliding particles. The above description suffers from IR divergences (typical of 3 + 1 dimensional gauge theories), which can be regularized by considering finite Wilson lines, extending in proper time from -T to T (and eventually sending T to infinity). Generalizing the results of a previous paper, we give here the general proof that the expectation value of two IR-regularized Wilson lines, forming a certain hyperbolic angle in Minkowski space-time, and the expectation value of two IR-regularized Euclidean Wilson lines, forming a certain angle in Euclidean four-space, are connected by an analytic continuation in the angular variables and in the IR cutoff T. This result can be used to evaluate the IR-regularized high-energy scattering amplitude directly in the Euclidean theory.
18 pages, LaTeX file
Cited by in corpus (23)
- Holographic Pomeron and the Schwinger Mechanism
- Confining QCD Strings, Casimir Scaling, and a Euclidean Approach to High-Energy Scattering
- Scattering of color dipoles: from low to high energies
- Analyticity and crossing symmetry of the eikonal amplitudes in gauge theories
- On the loop-loop scattering amplitudes in Abelian and non-Abelian gauge theories
- High-energy hadron-hadron (dipole-dipole) scattering from lattice QCD
- Can the pomeron be derived from a Euclidean-Minkowskian duality?
- Instanton effects on Wilson-loop correlators: a new comparison with numerical results from the lattice
- A nonperturbative foundation of the Euclidean-Minkowskian duality of Wilson-loop correlation functions
- High Energy Bounds on Soft N=4 SYM Amplitudes from AdS/CFT
- Asymptotic Energy Dependence of Hadronic Total Cross Sections from Lattice QCD
- Hadronic total cross sections at high energy and the QCD spectrum
- Vacuum Expectation Value of a Wegner-Wilson Loop near the Light Cone
- An Approach towards a Constituent Quark Model on the Light Cone
- Reggeon exchange from gauge/gravity duality
- Wilson-loop formalism for Reggeon exchange in soft high-energy scattering
- Renormalisation of gauge theories on general anisotropic lattices and high-energy scattering in QCD
- Eikonal Approach to N=4 SYM Regge Amplitudes in the AdS/CFT Correspondence
- An investigation on the leading and subleading high-energy behavior of hadron-hadron total cross sections using a best-fit analysis of hadronic scattering data
- Lattice approach to high-energy hadron-hadron scattering
- Worldline Casting of the Stochastic Vacuum Model and Non-Perturbative Properties of QCD: General Formalism and Applications
- Wilson-loop formalism for Reggeon exchange at high energy
- Infrared finitness and analyticity properties of the loop-loop scattering amplitudes in gauge theories