Fedosov Deformation Quantization as a BRST Theory
نویسندگان
چکیده
منابع مشابه
Fedosov Deformation Quantization as a BRST Theory
The relationship is established between the Fedosov deformation quantization of a general symplectic manifold and the BFV-BRST quantization of constrained dynamical systems. The original symplectic manifold M is presented as a second class constrained surface in the fibre bundle T * ρ M which is a certain modification of a usual cotangent bundle equipped with a natural symplectic structure. The...
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A coordinate-free definition for Wick-type symbols is given for symplectic manifolds by means of the Fedosov procedure. The main ingredient of this approach is a bilinear symmetric form defined on the complexified tangent bundle of the symplectic manifold and subject to some set of algebraic and differential conditions. It is precisely the structure which describes a deviation of the Wick-type ...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2001
ISSN: 0010-3616
DOI: 10.1007/pl00005559