Towards Non-Commutative Deformations of Relativistic Wave Equations in 2+1 Dimensions

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dc.contributor.authorSchroers, B.J.
dc.contributor.authorWilhelm, M.
dc.date.accessioned2019-02-10T18:14:08Z
dc.date.available2019-02-10T18:14:08Z
dc.date.issued2014
dc.description.abstractWe consider the deformation of the Poincaré group in 2+1 dimensions into the quantum double of the Lorentz group and construct Lorentz-covariant momentum-space formulations of the irreducible representations describing massive particles with spin 0, 1/2 and 1 in the deformed theory. We discuss ways of obtaining non-commutative versions of relativistic wave equations like the Klein-Gordon, Dirac and Proca equations in 2+1 dimensions by applying a suitably defined Fourier transform, and point out the relation between non-commutative Dirac equations and the exponentiated Dirac operator considered by Atiyah and Moore.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue on Deformations of Space-Time and its Symmetries. The full collection is available at http://www.emis.de/journals/SIGMA/space-time.html, MW thanks the Department of Mathematics at Heriot-Watt University for hospitality during a six-months visit in 2010 when the bulk of the research reported here was carried out. BJS thanks Sergio Inglima for discussions and comments on a draft version of the manuscript. Both MW and BJS thank the University of Ghana for hospitality during a research visit in April 2010.uk_UA
dc.identifier.citationTowards Non-Commutative Deformations of Relativistic Wave Equations in 2+1 Dimensions / B.J. Schroers, M. Wilhelm // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 45 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 83A99; 81R20; 81R50; 81R60
dc.identifier.otherDOI:10.3842/SIGMA.2014.053
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146686
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleTowards Non-Commutative Deformations of Relativistic Wave Equations in 2+1 Dimensionsuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10, випуск за цей рік