منابع مشابه
Noncommutative Fluids
We review the connection between noncommutative gauge theory, matrix models and fluid mechanical systems. The noncommutative ChernSimons description of the quantum Hall effect and bosonization of collective fermion states are used as specific examples. To appear in the “Bourbaphy” Séminaire Poincaré X, Institut Henri Poincaré, Paris
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In this brief note, we study bosonization of the noncommutative massive Thirring model in 2+ 1dimensions. We show that, contrary to the duality between massive Thirring model and Maxwell-Chern-Simons model in ordinary spacetime, in the low energy (or large fermion mass) limit, their noncommutative versions are not equivalent, in the same approximation.
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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 ...
متن کاملNoncommutative 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...
متن کاملSimple waves in relativistic fluids.
We consider the Riemann problem for relativistic flows of polytropic fluids and find relations for the flow characteristics. Evolution of physical quantities takes especially simple form for the case of cold magnetized plasmas. We find exact explicit analytical solutions for one-dimensional expansion of magnetized plasma into vacuum, valid for arbitrary magnetization. We also consider expansion...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 2013
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2013.03.008