non-Abelian Gauge Field Theory Research Articles

On the energy-momentum tensor in gauge field theories

The energy-momentum tensor in spontaneously broken non-Abelian gauge field theories is studied. The motivation is to show that recent results on the finiteness and gauge independence of S-matrix elements in gauge theories extends to observable amplitudes for transitions in a gravitational field. Path integral methods and dimensional regularization are used throughout. Green's functions Γ μν ( j) ( q; p 1,…, p j ) involving the energy-momentum tensor and j particle fields are proved finite to all orders in perturbation theory to zero and first order in q, and finite to one loop order for general q. Amputated Green's functions of the energy momentum tensor are proved to be gauge independent on mass shell.

Weak corrections to the muon magnetic moment in a renormalizable gauge

Abstract A renormalizable gauge calculation of the weak corrections to the muon magnetic moment in Weinberg's model is presented. The calculation is performed in the context of the recently developed theory of non-Abelian gauge fields.

SMatrix for the Yang-Mills Field in a Nonlinear Gauge

A simple explanation for the modification of the Feynman rules in the field theory of non-Abelian gauge fields is found, and it is shown that in suitably defined nonlinear gauges the Feynman path-integral method of constructing the generating functional for electrodynamics also yields the correct generating functional for non-Abelian gauge fields.