Symmetrization of the Berezin star product and path-integral quantization

Citation
S. Saito et K. Wakatsuki, Symmetrization of the Berezin star product and path-integral quantization, PROG T PHYS, 104(5), 2000, pp. 893-901
Citations number
24
Categorie Soggetti
Physics
Journal title
PROGRESS OF THEORETICAL PHYSICS
ISSN journal
0033068X → ACNP
Volume
104
Issue
5
Year of publication
2000
Pages
893 - 901
Database
ISI
SICI code
0033-068X(200011)104:5<893:SOTBSP>2.0.ZU;2-E
Abstract
We propose a new star product which interpolates between the Berezin and Mo yal quantizations. A multiple of this product is shown to reduce to a path- integral quantization in the continuous time limit. In flat space the actio n becomes that of free bosonic strings. The relation to the Kontsevich pres cription is also discussed.