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This article is cited in 1 scientific paper (total in 1 paper)
Field Theory with Coordinate Dependent Noncommutativity
Daniel N. Blaschkea, François Gieresb, Stefan Hoheneggerb, Manfred Schwedac, Michael Wohlgenanntd a Los Alamos National Laboratory, Los Alamos, NM, 87545, USA
b Institut de Physique Nucléaire de Lyon, Université de Lyon, Université Claude Bernard Lyon 1 and CNRS/IN2P3, Bat. Paul Dirac, 4 rue Enrico Fermi, F-69622-Villeurbanne, France
c Deceased
d Austro-Ukrainian Institute for Science and Technology c/o AUI, ITP, Vienna University of Technology, Wiedner Hauptstraße 8-10, A-1040 Vienna, Austria
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.
Keywords:
NCQFT; energy-momentum tensor; noncommutative geometry.
Received: September 19, 2018; in final form December 11, 2018; Published online December 23, 2018
Citation:
Daniel N. Blaschke, François Gieres, Stefan Hohenegger, Manfred Schweda, Michael Wohlgenannt, “Field Theory with Coordinate Dependent Noncommutativity”, SIGMA, 14 (2018), 133, 35 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1432 https://www.mathnet.ru/eng/sigma/v14/p133
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Abstract page: | 205 | Full-text PDF : | 30 | References: | 18 |
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