TOPOLOGICALLY NONTRIVIAL FIELD CONFIGURATIONS IN NONCOMMUTATIVE GEOMETRY

Authors
GROSSE H KLIMCIK C PRESNAJDER P
Citation
H. Grosse et al., TOPOLOGICALLY NONTRIVIAL FIELD CONFIGURATIONS IN NONCOMMUTATIVE GEOMETRY, Communications in Mathematical Physics, 178(2), 1996, pp. 507-526
Citations number
18
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
178
Issue
2
Year of publication
1996
Pages
507 - 526
Database
ISI
SICI code
0010-3616(1996)178:2<507:TNFCIN>2.0.ZU;2-W
Abstract
In the framework of noncommutative geometry we describe spinor fields with nonvanishing winding number on a truncated (fuzzy) sphere. The co rresponding field theory actions conserve all basic symmetries of the standard commutative version (space isometries and global chiral symme try), but due to the noncommutativity of the space the fields are regu larized and they contain only a finite number of modes.