2006/11/14 by Marcos Rosenbaum, J. David Vergara, J David Vergara +2 · 1 citation
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1088/1751-8113/40/33/026
published as J.Phys.A40:10367-10382,2007 · 16 pages
arxiv created 2006/11/14 · openalex publication_date 2007/08/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
Within the spirit of Dirac's canonical quantization, noncommutative spacetime field theories are introduced by making use of the reparametrization invariance of the action and of an arbitrary non-canonical symplectic structure. This construction implies that the constraints need to be deformed, resulting in an automatic Drinfeld twisting of the generators of the symmetries associated with the reparametrized theory. We illustrate our procedure for the case of a scalar field in (1+1)-spacetime dimensions, but it can be readily generalized to arbitrary dimensions and arbitrary types of fields.