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Quantized gauge theory on the fuzzy sphere as random matrix model

โœ Scribed by Harold Steinacker


Book ID
116795530
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
372 KB
Volume
679
Category
Article
ISSN
0550-3213

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Field theory on the q-deformed fuzzy sph
โœ H. Grosse; J. Madore; H. Steinacker ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 292 KB

We study the second quantization of field theory on the q-deformed fuzzy sphere for q โˆˆ R. This is performed using a path integral over the modes, which generate a quasi-associative algebra. The resulting models have a manifest U q (su( 2)) symmetry with a smooth limit q โ†’ 1, and satisfy positivity