Noncommutative scalar fields from symplectic deformation
Mathematical Physics
2008-11-26 v1 High Energy Physics - Theory
math.MP
Abstract
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 presence of an electro-magnetic background, are derived. The Hamiltonian of the theory is given and the degeneracies lifting, induced by the deformation, is also discussed.
Cite
@article{arxiv.0806.2463,
title = {Noncommutative scalar fields from symplectic deformation},
author = {M. Daoud and A. Hamama},
journal= {arXiv preprint arXiv:0806.2463},
year = {2008}
}
Comments
14 pages