Field theory on the q-deformed fuzzy sphere II: Quantization

Harald Grosse, John Madore, Harold Steinacker

    Veröffentlichungen: Beitrag in FachzeitschriftArtikelPeer Reviewed


    We study the second quantization of field theory on the q-deformed fuzzy sphere for q e R. This is performed using a path integral over the modes, which generate a quasi-associative algebra. The resulting models have a manifest Uq(su(2)) symmetry with a smooth limit q ? 1, and satisfy positivity and twisted bosonic symmetry properties. A symmetry properties. A symtematic way to calculate n-point correlators in perturbation theory is given. As examples, the 4-point correlator for a free scalar field theory and the planar contribution to the tadpole diagram in ø4 theory are computed. The case of gauge fields is also discussed, as well as an operator formulation of scalar field theory in 2q + 1 dimensions. An alternative, essentially equivalent approach using associative techniques only is also presented. The proposed framework is not restricted to two dimensions. Œ 2002 Elsevier Science B.V. All rights reserved.
    Seiten (von - bis)205-240
    FachzeitschriftJournal of Geometry and Physics
    PublikationsstatusVeröffentlicht - 2002

    ÖFOS 2012

    • 103036 Theoretische Physik