Green's Function Approach to Infrared Factorization and Finite Eikonal Corrections

✍ Scribed by G.C. Gellas; A.I. Karanikas; C.N. Ktorides

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 363 KB
• Volume: 255
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.1996.5653

✦ Synopsis

The infrared sector of a generic gauge theory with spin-1 2 matter fields and, for simplicity, only one mass scale, is factored out via a procedure which relies on a path integral (worldline) casting of the field system. The basic idea is to employ a velocity expansion which imposes the spin-1 2 particle's mass as a cutoff for the factorized sector. Anomalous dimensions characterizing the infrared regime are derived in connection with two-and three-point Green's functions. Finally, an off mass shell expansion of the propagator is achieved which contains genuine corrections to the eikonal approximation.

1997 Academic Press where factorization holds the key to one's ability to conduct quantitative analyses in QCD is the treatment of hard processes, such as inclusive deep inelastic scattering, where one separates the so-called collinear from short distance physics. In effecting such factorization programmes one relies heavily on operator formalisms, with Wilson's operator product expansion (OPE) [2] providing the most relevant tool.