The Two Loop Renormalization of the Gauge Coupling and the Scalar Potential for an Arbitrary Renormalizable Field Theory

van Damme, Ruud

doi:10.1016/0550-3213(83)90024-X

The Two Loop Renormalization of the Gauge Coupling and the Scalar Potential for an Arbitrary Renormalizable Field Theory

Ruud van Damme
(
- Utrecht U.
)

Apr, 1983

32 pages

Published in:

Nucl.Phys.B 227 (1983) 317-348,
Nucl.Phys.B 244 (1984) 549-549 (erratum)

Published: 1983

DOI:

10.1016/0550-3213(83)90024-X,
10.1016/0550-3213(84)90330-4 (erratum)

Report number:

PRINT-83-0360 (UTRECHT)

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Abstract: (Elsevier)

For any renormalize field theory in four dimensions we obtain the two-loop counterterms for the gauge coupling and the scalar potential, using the background-field method. The calculation was performed in two different subtraction schemes: one is the ordinary dimensional regularization, the other is the so-called dimensional reduction scheme. We show that already at the two-loop level differences occur for the scalar coupling-constants. Only dimensional reduction preserves supersymmetry up to this level.

FIELD THEORETICAL MODEL: RENORMALIZABLE
GAUGE FIELD THEORY: BACKGROUND FIELD
GAUGE FIELD THEORY: SO(4)
GAUGE FIELD THEORY: SU(2)
RENORMALIZATION: REGULARIZATION
RENORMALIZATION: BETA FUNCTION
SUPERSYMMETRY
COUPLING: GAUGE
GAUGE: COUPLING
POTENTIAL: SCALAR

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