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Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 133, 35 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.133 (Mi sigma1432) 		 
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
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DOI: https://doi.org/10.3842/SIGMA.2018.133
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
Bibliographic databases:
Document Type: Article
MSC: 81T75; 70H33; 81T13; 51P05; 81T75
Language: English
Citation: Daniel N. Blaschke, François Gieres, Stefan Hohenegger, Manfred Schweda, Michael Wohlgenannt, “Field Theory with Coordinate Dependent Noncommutativity”, SIGMA, 14 (2018), 133, 35 pp.
Citation in format AMSBIB
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\paper Field Theory with Coordinate Dependent Noncommutativity
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\totalpages 35
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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