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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

Noncommutative Geometry and Symplectic Field Theory · wovepaper