Noncommutative Φ4 theory at two loops

2000/08/31 by A. Micu, Andrei Micu, M. M. Sheikh-Jabbari +1 · 8 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1088/1126-6708/2001/01/025

published as JHEP 0101:025,2001 · Latex, several ps figures, v3: 51 pages, presentation of introduction and conclusion improved, references added

arxiv created 2001/01/17 · openalex publication_date 2001/01/19 · arxiv updated 2009/11/30 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We study perturbative aspects of noncommutative field theories. This work is arranged in two parts. First, we review noncommutative field theories in general and discuss both canonical and path integral quantization methods. In the second part, we consider the particular example of noncommutative Φ⁴ theory in four dimensions and work out the corresponding effective action and discuss renormalizability of the theory, up to two loops.

Cited by

• Running couplings and triviality of field theories on noncommutative spaces
• Gravitational non-commutativity and Gödel-like spacetimes
• Noncommutativity and unitarity violation in gauge boson scattering
• Noncommutative quantum mechanics and Bohm’s ontological interpretation
• The renormalization of non-commutative field theories in the limit of large non-commutativity
• Hard Noncommutative Loops Resummation
• Divergences in non-commutative gauge theories with the Slavnov term
• A generalization of Slavnov-extended non-commutative gauge theories