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Title: Derivative expansion of the effective action

Abstract

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.

Authors:
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
OSTI Identifier:
6406273
Report Number(s):
LBL-23247
ON: DE87012879
DOE Contract Number:  
AC03-76SF00098
Resource Type:
Technical Report
Resource Relation:
Other Information: Ph.D. Thesis
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACTION INTEGRAL; SERIES EXPANSION; QUANTUM FIELD THEORY; INTERMEDIATE VECTOR BOSONS; SCALAR FIELDS; SCATTERING; BOSONS; ELEMENTARY PARTICLES; FIELD THEORIES; INTEGRALS; INTERMEDIATE BOSONS; 645400* - High Energy Physics- Field Theory

Citation Formats

Cheyette, O. Derivative expansion of the effective action. United States: N. p., 1987. Web. doi:10.2172/6406273.
Cheyette, O. Derivative expansion of the effective action. United States. https://doi.org/10.2172/6406273
Cheyette, O. 1987. "Derivative expansion of the effective action". United States. https://doi.org/10.2172/6406273. https://www.osti.gov/servlets/purl/6406273.
@article{osti_6406273,
title = {Derivative expansion of the effective action},
author = {Cheyette, O},
abstractNote = {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.},
doi = {10.2172/6406273},
url = {https://www.osti.gov/biblio/6406273}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Wed Apr 01 00:00:00 EST 1987},
month = {Wed Apr 01 00:00:00 EST 1987}
}