Published August 2006 | Version v1
Journal article Metadata-only

A nontrivial solvable noncommutative φ3 model in 4 dimensions

Creators

  • 1. Institut fuer Theoretische Physik, Universitaet Wien, Boltzmanngasse 5, A-1090 Vienna (Austria)

Description

We study the quantization of the noncommutative selfdual φ3 model in 4 dimensions, by mapping it to a Kontsevich model. The model is shown to be renormalizable, provided one additional counterterm is included compared to the 2-dimensional case which can be interpreted as divergent shift of the field φ. The known results for the Kontsevich model allow to obtain the genus expansion of the free energy and of any n-point function, which is finite for each genus after renormalization. No coupling constant or wavefunction renormalization is required. A critical coupling is determined, beyond which the model is unstable. This provides a nontrivial interacting NC field theory in 4 dimensions

Availability note (English)

Available online at http://stacks.iop.org/1126-6708/2006/i=08/a=008/jhep082006008.pdf or at the Web site for the Journal of High Energy Physics (ISSN 1029-8479) http://www.iop.org/

Additional details

Identifiers

URL
http://stacks.iop.org/1126-6708/2006/i=08/a=008/jhep082006008.pdf; http://www.iop.org/;
DOI
10.1088/1126-6708/2006/08/008;

Publishing Information

Journal Title
Journal of High Energy Physics
Journal Volume
2006
Journal Issue
08
Journal Page Range
p. 008
ISSN
1126-6708

INIS

Country of Publication
Italy
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
38001568
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
COMMUTATION RELATIONS; COUPLING; COUPLING CONSTANTS; EXPANSION; FREE ENERGY; MAPPING; QUANTIZATION; QUANTUM FIELD THEORY; RENORMALIZATION; TWO-DIMENSIONAL CALCULATIONS; WAVE FUNCTIONS
Descriptors DEC
ENERGY; FIELD THEORIES; FUNCTIONS; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES