Worldline Approach to Forward and Fixed Angle fermion-fermion Scattering in Yang-Mills Theories at High Energies

Abstract

Worldline techniques are employed to study the general behaviour of the fermion-fermion collision amplitude at very high energies in a non-abelian gauge field theory for the forward and fixed angle scattering cases. A central objective of this work is to demonstrate the simplicity by which the worldline methodology isolates that sector of the full theory which carries the soft physics, relevant to each process. Anomalous dimensions pertaining to a given soft sector are identified and subseuently used to facilitate the renormalization group running of the respective four point functions. Gluon reggeization is achieved for forward, while Sudakov suppression is established for fixed angle scattering.

28 pages, 10 figures in three files

References in corpus (2)

• Confirmation of a soft photon signal in excess of Q.E.D. expectations in pi p interactions at 280 GeV/c
• Worldline approach to Sudakov-type form factors in non-Abelian gauge theories

Cited by in corpus (5)

• Theoretical and Experimental Status of Magnetic Monopoles
• Dual Quantum Electrodynamics: Dyon-Dyon and Charge-Monopole Scattering in a High-Energy Approximation
• Perturbative Computation of the Gluonic Effective Action via Polyaokov's World-Line Path Integral
• Off-mass-shell Sudakov-like suppression factor for the fermionic four-point function in QCD
• Theoretical evidence for a tachyonic ghost state contribution to the gluon propagator in high energy, forward quark-quark `scattering'