CLASSICAL YANG-MILLS-DIRAC SYSTEM WITH CONFORMAL SYMMETRY - A GEOMETRICAL ANALYSIS

Authors
ANTOINE JP DABROWSKI L MAHARA I
Citation
Jp. Antoine et al., CLASSICAL YANG-MILLS-DIRAC SYSTEM WITH CONFORMAL SYMMETRY - A GEOMETRICAL ANALYSIS, Modern physics letters A, 9(37), 1994, pp. 3431-3444
Citations number
8
Categorie Soggetti
Physics, Nuclear","Physics, Particles & Fields","Physycs, Mathematical
Journal title
Modern physics letters A → ACNP
ISSN journal
02177323
Volume
9
Issue
37
Year of publication
1994
Pages
3431 - 3444
Database
ISI
SICI code
0217-7323(1994)9:37<3431:CYSWCS>2.0.ZU;2-0
Abstract
We consider classical Yang-Mills-Dirac equations on Minkowski space, w ith gauge group SU(2), and look for solutions invariant (up to a gauge transformation) under a four-dimensional subgroup of the conformal gr oup. In each of the four different cases that we analyze, the equation s admit non-Abelian solutions, but these cannot be obtained analytical ly. In addition, some cases admit solutions with chiral spinors that m ay be physically relevant. All these solutions are singular.