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QUANTUM FIELDS ON THE GROENEWOLD–MOYAL PLANE

2008/03/31 by Earnest Akofor, A. P. Balachandran, Anosh Joseph
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #gr-qc #hep-ph #hep-th #math.QA

paper · pdf · doi:10.1142/s0217751x08040317

published as Int.J.Mod.Phys.A23:1637-1677,2008 · 50 pages, 3 figures. v2: published version

openalex publication_date 2008/04/30 · arxiv created 2008/06/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an introductory review of quantum physics on the noncommutative space–time called the Groenewold–Moyal plane. Basic ideas like star products, twisted statistics, second quantized fields and discrete symmetries are discussed. We also outline some of the recent developments in these fields and mention where one can search for experimental signals.

Citations