INDUCED GAUGE-FIELDS IN THE PATH-INTEGRAL

Citation
S. Tanimura et I. Tsutsui, INDUCED GAUGE-FIELDS IN THE PATH-INTEGRAL, Modern physics letters A, 10(34), 1995, pp. 2607-2617
Citations number
28
Categorie Soggetti
Physics, Nuclear","Physics, Particles & Fields","Physycs, Mathematical
Journal title
ISSN journal
02177323
Volume
10
Issue
34
Year of publication
1995
Pages
2607 - 2617
Database
ISI
SICI code
0217-7323(1995)10:34<2607:IGITP>2.0.ZU;2-U
Abstract
The path-integral on a homogeneous space G/H is constructed, based on the guiding principle ''first lift to G and then project to G/H''. It is then shown that this principle admits inequivalent quantizations in ducing a gauge field (the canonical connection) on the homogeneous spa ce, and thereby reproduces the result obtained earlier by algebraic ap proaches.