Derivative expansion of the effective action

Thesis/Dissertation · Thu Jan 01 00:00:00 EST 1987

OSTI ID:5004119

Cheyette, O N

This paper describes some methods for calculating derivative terms in the one loop effective action for a quantum field theory. The functional approach and background field method are first used to derive the general form of the one loop determinant. Then the determinant is expanded in powers of derivatives of the background fields. The form of this expansion is described for the simple case of an interacting scalar field, and then for the more complicated problem of a non-abelian gauge field. Finally, the expansion is applied to the task of calculating Higgs mass dependent effects in the Glashow-Weinberg-Salam model, and all terms which grow with the Higgs mass M{sub H} are found in the one loop approximation. The result of this calculation is used to find the dependence of the gauge boson mass ratio {rho} on M{sub H}, and also to estimate the size of corrections to W and Z scattering theorems.

• Research Organization: California Univ., Berkeley, CA (USA)
• OSTI ID: 5004119
• Resource Relation: Other Information: Thesis (Ph. D.)
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
QUANTUM FIELD THEORY
CALCULATION METHODS
BOSONS
FIELD THEORIES
MATHEMATICAL MODELS
POWER SERIES
SCALAR FIELDS
SERIES EXPANSION
645400* - High Energy Physics- Field Theory
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics