Green{close_quote}s function approach to infrared factorization and finite eikonal corrections

Journal Article · Tue Apr 01 00:00:00 EST 1997 · Annals of Physics (New York)

DOI:https://doi.org/10.1006/aphy.1996.5653· OSTI ID:526835

Gellas, G C; Karanikas, A I ^[1]; Ktorides, C N ^[2]

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1. Department of Physics, Nuclear and Particle Physics Section, University of Athens, Panepistimiopolis, GR-15771 Athens (Greece)
2. Center for Theoretical Physics, Laboratory for Nuclear Science, and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)

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{close_quote}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{close_quote}s functions. Finally, an off mass shell expansion of the propagator is achieved which contains genuine corrections to the eikonal approximation. {copyright} 1997 Academic Press, Inc.

• OSTI ID: 526835
• Journal Information: Annals of Physics (New York), Vol. 255, Issue 2; Other Information: PBD: Apr 1997
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
GREEN FUNCTION
INFRARED DIVERGENCES
FEYNMAN PATH INTEGRAL
PERTURBATION THEORY
GAUGE INVARIANCE
RENORMALIZATION
QUANTUM FIELD THEORY
PROPAGATOR
EIKONAL APPROXIMATION