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Noncommutative Geometry: Fuzzy Spaces, the Groenewold-Moyal Plane

2006/06/30 by A. P. Balachandran, Aiyalam P. Balachandran, Babar Ahmed Qureshi · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebra over a field #Algebraic structures and combinatorial models #Artificial intelligence #Computer science #Field (mathematics) #Fuzzy logic #Geometry #Mathematics #Noncommutative algebraic geometry #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Physics #Plane (geometry) #Pure mathematics #Quantum differential calculus #Theoretical physics #hep-th

paper · pdf · doi:10.3842/sigma.2006.094

published in Symmetry Integrability and Geometry Methods and Applications (National Academy of Sciences of Ukraine) · This is a contribution to the Proc. of the O'Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (June 2006, Budapest, Hungary), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

arxiv created 2006/12/29 · openalex publication_date 2006/12/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this talk, we review the basics concepts of fuzzy physics and quantum field theory on the Groenewold-Moyal Plane as examples of noncommutative spaces in physics. We introduce the basic ideas, and discuss some important results in these fields. At the end we outline some recent developments in the field.

Citations