منابع مشابه
Noncommutative radial waves
We study radial waves in (2+1)-dimensional noncommutative scalar field theory, using operatorial methods. The waves propagate along a discrete radial coordinate and are described by finite series deformations of Bessel-type functions. At large radius with respect to the noncomutativity scale θ, the waves behave like the usual commutative ones. Field theory defined over a noncommutative space re...
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Waves on “commutative” spacetimes like Rd are elements of the commutative algebra C0(Rd) of functions on Rd. When C0(Rd) is deformed to a noncommutative algebra Aθ(R) with deformation parameter θ (A0(R) = C0(Rd)), waves being its elements, are no longer complex-valued functions on Rd. Rules for their interpretation, such as measurement of their intensity, and energy, thus need to be stated. We ...
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We describe an algebraic approach to the time-dependent noncommutative geometry of a six-dimensional Cahen-Wallach pp-wave string background supported by a constant Neveu-Schwarz flux, and develop a general formalism to construct and analyse quantum field theories defined thereon. Various star-products are derived in closed explicit form and the Hopf algebra of twisted isometries of the plane w...
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We characterize the worldvolume theories on symmetric D-branes in a six-dimensional Cahen-Wallach pp-wave supported by a constant Neveu-Schwarz three-form flux. We find a class of flat noncommutative euclidean D3-branes analogous to branes in a constant magnetic field, as well as curved noncommutative lorentzian D3-branes analogous to branes in an electric background. In the former case the non...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2008
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/41/21/215401