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arXiv · 1806.02131

Field Theory with Coordinate Dependent Noncommutativity

Daniel N. Blaschke·Francois Gieres·Stefan Hohenegger·Manfred Schweda·Michael Wohlgenannt
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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.

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Daniel N. Blaschke, Francois Gieres, Stefan Hohenegger, Manfred Schweda, Michael Wohlgenannt. 2018-06-06. Field Theory with Coordinate Dependent Noncommutativity. https://doi.org/10.3842/sigma.2018.133

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