Noncommutative Geometry and Symplectic Field Theory
High Energy Physics - Theory
2008-11-26 v1
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.
Cite
@article{arxiv.hep-th/0611081,
title = {Noncommutative Geometry and Symplectic Field Theory},
author = {R. G. G. Amorim and M. C. B. Fernandes and F. C. Khanna and A. E. Santana and J. D. M. Vianna},
journal= {arXiv preprint arXiv:hep-th/0611081},
year = {2008}
}
Comments
To appear in Physics Letters A