Wedge-local quantum fields on a nonconstant noncommutative spacetime

Within the framework of warped convolutions we deform the massless free scalar field. The deformation is performed by using the generators of the special conformal transformations. The investigation shows that the deformed field turns out to be wedge-local. Furthermore, it is shown that the spacetim...

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Veröffentlicht in:	Journal of mathematical physics 2012-08, Vol.53 (8), p.1
1. Verfasser:	Much, A.
Format:	Artikel
Sprache:	eng
Schlagworte:	COMMUTATION RELATIONS Commutators CONFIGURATION Convolution Coordinate transformations DEFORMATION Exact sciences and technology FIELD THEORIES Generators Mathematical analysis Mathematical methods in physics Mathematics Operators Physics PHYSICS OF ELEMENTARY PARTICLES AND FIELDS Quantum field theory SCALAR FIELDS Scalars Sciences and techniques of general use SPACE-TIME TRANSFORMATIONS
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Zusammenfassung:	Within the framework of warped convolutions we deform the massless free scalar field. The deformation is performed by using the generators of the special conformal transformations. The investigation shows that the deformed field turns out to be wedge-local. Furthermore, it is shown that the spacetime induced by the deformation with the special conformal operators is nonconstant noncommutative. The noncommutativity is obtained by calculating the deformed commutator of the coordinates.
ISSN:	0022-2488 1089-7658
DOI:	10.1063/1.4739751