Gauge Theories and Spontaneous Symmetry Breaking.

reportActive / Technical Report | Accession Number: ADA091800 | Open PDF

Abstract:

This report summarizes attempts to understand in what way spontaneous symmetry breaking arose in the context of guage field theories of elementary particles. The main interest was in knowing whether techniques of bifurcation theory could be applied to the problem of spontaneous symmetry breaking in gauge field theories. It was felt that the symmetry breaking used by the physicists a procedure known as the Higgs mechanism is not precisely a bifurcation problem in the usual sense of the term, but more a matter of fixing a guage and thereby reducing the amount of symmetry of the problem. In other words, it is not really a matter of spontaneous symmetry breaking.

Author(s):
Sattinger, D. H. ; Weaver, O. L.
Author Organization(s):
MINNESOTA UNIV MINNEAPOLIS SCHOOL OF MATHEMATICS
Descriptive Note:
Final rept. 1 Nov-15 Dec 79,
Supplementary Note:
DOI: 10.21236/ADA091800
Pagination:
0046

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
ARO-16931.1-M
Contract/Grant Number(s):
DAAG29-79-M-0125
Monitor Series:
16931.1-M
 Subject Terms
Joint Capability Areas:
JCA_5_Command and Control; JCA_1.2_Force Preparation; JCA_1_Force Support; JCA_5.3_Planning; JCA_1.2.2_Exercising; JCA_3.2_Engagement; JCA_3_Force Application; JCA_3.2.1_Kinetic Means
Modernization Areas:
Quantum Science and Computing
Communities of Interest:
Energy and Power Technologies
Descriptor(s):
*FIELD THEORY, *ELEMENTARY PARTICLES, TRANSFORMATIONS(MATHEMATICS), SYMMETRY, VECTOR ANALYSIS, LAGRANGIAN FUNCTIONS
Field(s)/Group(s):
Quantum Theory and Relativity
Keyword(s):
*Guage theory, Bifurcation theory, Guage invariance, Higgs mechanism, Abelian functions
Report Date:
1980 Nov 01