2008/02/01 by M. Daoud, A. Hamama
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Electromagnetic field #Hamiltonian (control theory) #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Quantization (signal processing) #Scalar (mathematics) #Scalar field theory #Symplectic geometry #hep-th #math-ph #math.MP
paper · pdf · doi:10.1063/1.2840947
published as J.Math.Phys.49:023508,2008 · 14 pages
openalex publication_date 2008/02/01 · arxiv created 2008/06/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
This paper is concerned with the quantum theory of noncommutative scalar fields in two dimensional space-time. It is shown that the noncommutativity originates from the the deformation of symplectic structures. The quantization is performed and the modes expansions of the fields, in the presence of an electromagnetic background, are derived. The Hamiltonian of the theory is given and the degeneracies lifting, induced by the deformation, is also discussed.