Noncommutative scalar fields from symplectic deformation
نویسندگان
چکیده
منابع مشابه
Non Commutative Scalar Fields from Symplectic Deformation
This paper is concerned with the quantum theory of noncommutative scalar fields in two dimensional space time. It is shown that the noncommutativity originates from the the deformation of symplectic structures. The quantization is performed and the modes expansions of the fields, in presence of an electro-magnetic background, are derived. The Hamiltonian of the theory is given and the degenerac...
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Let X be an oriented 4-manifold which does not have simple SW-type, for example a blow-up of a rational or ruled surface. We show that any two cohomologous and deformation equivalent symplectic forms on X are isotopic. This implies that blow-ups of these manifolds are unique, thus extending work of Biran. We also establish uniqueness of structure for certain fibered 4-manifolds.
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A ,yml'/eclic 'l'J"wd of PG(2n + l,q) is a spread of the symplectic polar space ~V(2n + l,q) defined by a nonsingular alternating bilinear form on a (2n+2)dimensional vector space over GF(q), i.e., a set of q"+l + 1 pairwise disjoint maximal totally isotropic subspaces. Note that a symplectic spread of PG(3, q) is equivalent, under the Klein correspondence, to an ovoid of the quadric Q( 4, q). ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2008
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.2840947