The heavy quark decomposition of the S-matrix and its relation to the pinch technique

Abstract

We propose a decomposition of the S-matrix into individually gauge invariant sub-amplitudes, which are kinematically akin to propagators, vertices, boxes, etc. This decompsition is obtained by considering limits of the S-matrix when some or all of the external particles have masses larger than any other physical scale. We show at the one-loop level that the effective gluon self-energy so defined is physically equivalent to the corresponding gauge independent self-energy obtained in the framework of the pinch technique. The generalization of this procedure to arbitrary gluonic $n$-point functions is briefly discussed.

11 uuencoded pages, NYU-TH-94/10/03

References in corpus (3)

• Gauge Invariant Three-Boson Vertices in the Standard Model and the Static Properties of the W
• On the connection between the pinch technique and the background field method
• Gauge invariant top quark form factors from e+ e- experiments

Cited by in corpus (5)

• Supersymmetry versus precision experiments revisited
• Gauge-independent Thermal $\beta$ Function In Yang-Mills Theory via the Pinch Technique
• Gauge-independent Thermal $\beta$ Function In Yang-Mills Theory
• The Gluon Self-Energy in the Coulomb and Temporal Axial Gauges via the Pinch Technique
• Gauge-independent resummed gluon self-energy in hot QCD