ON FINITE 4D QUANTUM-FIELD THEORY IN NONCOMMUTATIVE GEOMETRY

Authors
GROSSE H KLIMCIK C PRESNAJDER P
Citation
H. Grosse et al., ON FINITE 4D QUANTUM-FIELD THEORY IN NONCOMMUTATIVE GEOMETRY, Communications in Mathematical Physics, 180(2), 1996, pp. 429-438
Citations number
19
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
180
Issue
2
Year of publication
1996
Pages
429 - 438
Database
ISI
SICI code
0010-3616(1996)180:2<429:OF4QTI>2.0.ZU;2-W
Abstract
The truncated 4-dimensional sphere S-4 and the action of the self-inte racting scalar field on it are constructed. The path integral quantiza tion is performed while simultaneously keeping the SO(5) symmetry and the finite number of degrees of freedom. The usual field theory UV-div ergences are manifestly absent.