ANOTHER FORMALISM FOR CONSERVED QUANTITIES IN CLASSICAL GAUGE FIELD-THEORIES

Citation
L. Fatibene et al., ANOTHER FORMALISM FOR CONSERVED QUANTITIES IN CLASSICAL GAUGE FIELD-THEORIES, Journal of mathematical physics, 35(4), 1994, pp. 1644-1657
Citations number
16
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00222488
Volume
35
Issue
4
Year of publication
1994
Pages
1644 - 1657
Database
ISI
SICI code
0022-2488(1994)35:4<1644:AFFCQI>2.0.ZU;2-L
Abstract
Gauge theories coupled with the gravitational field and external matte r fields are considered and Notherian techniques are used to build the canonical conserved quantities. Their superpotentials are found and t he relation between the canonical stress tensor and the Hilbert tensor is determined. The case of Yang-Mills theories coupled with gravity a nd scalar matter fields is considered in detail and it is shown that i n this case the canonical stress tensor and the Hilbert tensor coincid e.