TY - JOUR

T1 - Field theory on the q-deformed fuzzy sphere II: Quantization

AU - Grosse, Harald

AU - Madore, John

AU - Steinacker, Harold

N1 - DOI: 10.1016/S0393-0440(02)00023-2
Coden: JGPHE
Affiliations: Institut for Theoretical Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna, Austria; Max-Planck-Institut für Physik, Föhringer Ring 6, D-80805 Munich, Germany; Laboratoire de Physique TheŽorique et Hautes Energies, UniversiteŽ de Paris-Sud, Ba^timent 211, F-91405 Orsay, France; Sektion Physik der Ludwig-Maximilians, Universität München, Theresienstr 37, D-80333 Munich, Germany
Adressen: Grosse, H.; Institut for Theoretical Physics; University of Vienna; Boltzmanngasse 5 A-1090 Vienna, Austria; email: [email protected]
Source-File: Phy515Scopus.csv
Import aus Scopus: 2-s2.0-0036335337
Importdatum: 18.01.2007 15:23:38
04.12.2007: Datenanforderung 2003 (Import Sachbearbeiter)
04.12.2007: Datenanforderung 2006 (Import Sachbearbeiter)

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

U2 - 10.1016/S0393-0440(02)00023-2

DO - 10.1016/S0393-0440(02)00023-2

M3 - Article

VL - 43

SP - 205

EP - 240

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

SN - 0393-0440

IS - 2-3

ER -