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Title: Construction of the noncommutative complex ball

We describe the construction of the noncommutative complex ball whose commutative analog is the Hermitian symmetric space D = SU(m, 1)/U(m), with the method of coherent state quantization. In the commutative limit, we obtain the standard manifold. We also consider a quantum field theory model on the noncommutative manifold.
Authors:
 [1]
  1. Dipartimento di Matematica, Università di Roma Tre Largo S. L. Murialdo 1, 00146 Roma (Italy)
Publication Date:
OSTI Identifier:
22306035
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 9; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANNIHILATION OPERATORS; COMMUTATION RELATIONS; EIGENSTATES; QUANTIZATION; QUANTUM FIELD THEORY; SYMMETRY GROUPS