Year: 2008
Type: article
Abstract: We discuss the effects that a noncommutative geometry induced by a Drinfeld twist has on physical theories. We systematically deform all products and symmetries of the theory. We discuss noncommutative classical mechanics, in particular its deformed Poisson bracket and hence time evolution and symmetries. The twisting is then extended to classical fields, and then to the main interest of this work: quantum fields. This leads to a geometric formulation of quantization on noncommutative space-time, i.e., we establish a noncommutative correspondence principle from $\ensuremath{\star}$-Poisson brackets to $\ensuremath{\star}$ commutators. In particular commutation relations among creation and annihilation operators are deduced.
Authors: Paolo Aschieri, Fedele Lizzi, Patrizia Vitale
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2015976434