BIFURCATION SOLUTIONS OF THE SCHWINGER-DYSON EQUATION

Authors
CHENG G KUO TK
Citation
G. Cheng et Tk. Kuo, BIFURCATION SOLUTIONS OF THE SCHWINGER-DYSON EQUATION, Journal of mathematical physics, 35(12), 1994, pp. 6270-6290
Citations number
20
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
35
Issue
12
Year of publication
1994
Pages
6270 - 6290
Database
ISI
SICI code
0022-2488(1994)35:12<6270:BSOTSE>2.0.ZU;2-X
Abstract
As a function of the coupling constant, it is shown that the Schwinger -Dyson equation has many bifurcation solutions that branch off from th e trivial solution. Three of these solutions are obtained explicitly, using the parameter imbedding method and the Liaponov-Schmidt method. Application of these methods to other nonlinear problems is discussed. (C) 1994 American Institute of Physics.