منابع مشابه
Geometrical Evaluation of Star Products
The geometric picture of the star-product based on its Fourier representation kernel is utilized in the evaluation of chains of star-products and the intuitive appreciation of their associativity and symmetries. Such constructions appear even simpler for a variant asymmetric product, and carry through for the standard star-product supersymmetrization. §1. Groenewold’s noncommutative ⋆-product [...
متن کاملFormality and Star Products
These notes, based on the mini-course given at the PQR2003 Euroschool held in Brussels in 2003, aim to review Kontsevich’s formality theorem together with his formula for the star product on a given Poisson manifold. A brief introduction to the employed mathematical tools and physical motivations is also given.
متن کاملBohr-sommerfeld Star Products
We relate the Bohr-Sommerfeld conditions established in λ-microlocal analysis to formal deformation quantization of symplectic manifolds by classifying star products adapted to some Lagrangian sub-manifold L, i.e. products preserving the classical vanishing ideal IL of L up to IL-preserving equivalences.
متن کاملStar Products Made Easy
The infinite matrices in Witten’s vertex are easy to diagonalize. It just requires some SL(2,R) lore plus a Watson-Sommerfeld transformation. We calculate the eigenvalues of all Neumann matrices for all scale dimensions s, both for matter and ghosts, including fractional s which we use to regulate the difficult s = 0 limit. We find that s = 1 eigenfunctions just acquire a p term, and x gets rep...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2000
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.533395