Noncommutative Geometry and Symplectic Field Theory
arXiv:hep-th/0611081 · doi:10.1016/j.physleta.2006.09.074
Abstract
In this work we study representations of the Poincare group defined over symplectic manifolds, deriving the Klein-Gordon and the Dirac equation in phase space. The formalism is associated with relativistic Wigner functions; the Noether theorem is derived in phase space and an interacting field, including a gauge field, approach is discussed.
To appear in Physics Letters A