Results 121 to 130 of about 353 (152)

Stochastic Moyal product on the Wiener space

Journal of Mathematical Physics, 2007
We propose a stochastic extension of deformation quantization on a Hilbert space. The Moyal product is defined in this context on the space of functionals belonging to all of the Sobolev spaces of the Malliavin calculus.
Dito, Giuseppe, Léandre, Rémi
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Generalised Deformations, Koszul Resolutions, Moyal Products

Reviews in Mathematical Physics, 1998
We generalise Gerstenhaber's theory of deformations, by dropping the assumption that the deformation parameter should commute with the elements of the original algebra. We give the associated cohomology and construct a Koszul resolution for the polynomial algebra [Formula: see text] in the "homogeneous" case.
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MOYAL STAR PRODUCT OF μ-HOLOMORPHIC j-DIFFERENTIALS

International Journal of Geometric Methods in Modern Physics, 2008
It was shown in [1], only for scalar conformal fields, that the Moyal–Weyl star product can introduce the quantum effect as the phase factor to the ordinary product. In this paper we show that, even on the same complex structure, the Moyal–Weyl star product of two j-differentials (conformal fields of weights (j, 0)) does not vanish but it generates ...
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A Moyal type product on Hermitian symmetric spaces

Bulletin de la Classe des sciences, 1991
We suggest a construction of a Moyal type * product on Hermitian symmetric spaces ; this construction is motivated by what happens for coadjoint orbits of the Heisenberg group.
Arnal, Daniel, Cahen, Michel, Gutt, Simone, Zahir, Hamid   +3 more
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Stochastic differential calculus, the Moyal *-product, and noncommutative geometry

Letters in Mathematical Physics, 1993
The authors present a reformulation of the Itõ calculus of stochastic differentials in terms of a differential calculus in the sense of noncommutative geometry. In this calculus, differentials do not commute with functions. The relation between both types of differential calculi is mediated by a generalized Moyal *-product.
Dimakis, Aristophanes, Müller-Hoissen, Folkert   +1 more
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An Explicit Moyal Product Realization of Quantum Deformation

Communications in Theoretical Physics, 1996
The -deformation and q-deformation were estimated completely under the concrete Moyal *-product and induced Moyal product version.
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Open Superstring Star as a Continuous Moyal Product with B Field

Communications in Theoretical Physics, 2003
In this paper, we recast the matter part of the open superstring star in the present of a constant B field. By using a different coordinate representation the matter part of the open superstring star is identified with the continuous Moyal product of functions of anti-commuting variables.
Wang Xiao-Hui, Hou Bo-Yu, Yang Zhan-Ying, Yue Rui-Hong   +3 more
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Analysis of the Moyal product in a flat space

Journal of Mathematical Physics, 1986
This paper studies the mathematical properties of Moyal product defined in the space R2n. They correspond to the properties of quantum mechanics and permit us to consider classical mechanics as a limit of quantum mechanics when Planck’s constant vanishes.
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Deformation quantization of Fréchet-Poisson algebras: Convergence of the Moyal product

2000
Beyond formal deformation quantization, i.e., deformation quantization of Poisson algebras with a formal deformation parameter [1], one can ask whether the formal parameter converges. In this direction, Rieffel [7] presented a notion of strict deformation quantization: Deformation quantization with a convergent product in the C*-algebras sense.
Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki, Akira Yoshioka   +3 more
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Higher Spin Theories with The Moyal Product

2018
Overview of the recent attempts to construct higher spin field theories in Minkowski spacetime is presented. It is shown that, despite the negative expectations comming from no-go theorems, we have found one candidate: higher-spin Yang-Mills theory. The properties and unknowns of HS-YM theory are presented.
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