Two Loop Renormalization Group Equations in a General Quantum Field Theory. 1. Wave Function Renormalization

Machacek, Marie E.; Vaughn, Michael T.

doi:10.1016/0550-3213(83)90610-7

Two Loop Renormalization Group Equations in a General Quantum Field Theory. 1. Wave Function Renormalization

Jan, 1983

21 pages

Published in:

Nucl.Phys.B 222 (1983) 83-103

Published: 1983

DOI:

10.1016/0550-3213(83)90610-7

Report number:

NUB-2590,
HUTP-83/A003

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Abstract: (Elsevier)

The two-loop renormalization group equations in a general renormalizable field theory with scalar, spin - 1 2 , and (vector) gauge fields are considered. In this paper, the anomalous dimensions associated with the wave function renormalizations of the fields are computed in a general R ξ gauge. The wave function renormalization of the gauge field in background field gauge, and hence the two-loop β function for the gauge coupling, are also evaluated.

RENORMALIZATION GROUP: BETA FUNCTION
GAUGE FIELD THEORY: BACKGROUND GAUGE
RENORMALIZATION: WAVE FUNCTION
PERTURBATION THEORY: HIGHER-ORDER
COUPLING CONSTANT
GAUGE FIELD THEORY: SU(3) X SU(2) X U(1)
COUPLING: YUKAWA
YUKAWA: COUPLING
FERMION: FIELD THEORY
FEYNMAN GRAPH

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