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Noninteraction of waves in two-dimensional conformal field theory
Noninteraction of waves two-dimensional conformal field theory Operator Algebras
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2011/9/6
Abstract: In higher dimensional quantum field theory, irreducible representations of the Poincare group are associated with particles. Their counterpart in two-dimensional massless models are "waves" ...
Superdiffusive bounds on self-repellent Brownian polymers and diffusion in the curl of the Gaussian free field in d=2
self-repelling random motion diffusion in random environment super-diffusivity
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2011/2/28
We consider two models of random diffusion in random environment in two dimensions. The first example is the self-repelling Brownian polymer, this describes a diffusion pushed by the negative gradient...
On electromagnetism and generalized energy-momentum tensor of the electromagnetic field in spaces with Finsler geometry
On electromagnetism generalized energy-momentum tensor electromagnetic field spaces Finsler geometry
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2011/1/20
By using variational calculus and exterior derivative formalism, we proposed in [30] and [11] a new geometric approach to electromagnetism in pseudo-Finsler spaces.
A period differential equation for a family of $K3$ surfaces and the Hilbert modular orbifold for the field $\mathbb{Q}(\sqrt{5})$
K3 surfaces Hilbert modular orbifolds period maps period di erential equations toric varieties
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2010/12/14
In this article we study the period map for a family of K3 surfaces which is given by the anticanon-ial divisor of a toric variety. We determine the period di erential equation and its monodromy group...
Positive Quantization in the Presence of a Variable Magnetic Field
Magnetic field pseudodifferential operator coherent state Berezin operator Bargmann transform
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2010/12/3
Starting with a previously constructed family of coherent states, we introduce the Berezin quantization for a particle in a variable magnetic field and we show that it constitutes a strict quantizatio...