Year: 2018
Type: article
Abstract: We discuss the formulation of classical field theoretical models on n-dimensional noncommutative space-time defined by a generic associative star product.A simple procedure for deriving conservation laws is presented and applied to field theories in noncommutative space-time to obtain local conservation laws (for the electric charge and for the energy-momentum tensor of free fields) and more generally an energy-momentum balance equation for interacting fields.For free field models an analogy with the damped harmonic oscillator in classical mechanics is pointed out, which allows us to get a physical understanding for the obtained conservation laws.To conclude, the formulation of field theories on curved noncommutative space is addressed.
Authors: Daniel N. Blaschke, Francois Gieres, Stefan Hohenegger, Manfred Schweda, Deceased, Michael Wohlgenannt
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Awards: G1017065088, G1279347439, G6410514744
OpenAlex ID: W2807564321