Localization, conformal motions and the duistermaat-heckman theorem
نویسندگان
چکیده
منابع مشابه
Localization, Conformal Motions and the Duistermaat-heckman Theorem 1
Here we develop an explicitly covariant expression for the stationary phase approximation of a classical partition function based on geometric properties of the phase space. As an example of the utility of such an evaluation we show that in the case of the Hamiltonian ows generating conformal rescalings of the underlying geometry, the classical partition function is given exactly by the leading...
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We derive a geometric integration formula for the partition function of a classical dynamical system and use it to show that corrections to the WKB approximation vanish for any Hamiltonian which generates conformal motions of some Riemannian geometry on the phase space. This generalizes previous cases where the Hamiltonian was taken as an isometry generator. We show that this conformal symmetry...
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Lutian Zhao UID: 661622198 The Duistermaat-Heckman theorems concern the measure associated to moment map of a torus action of symplectic manifold. Typically, this name refers to two theorems, one is called the ”Duistermaat-Heckman measure", which says that ”the Radon-Nikodym derivative is piecewise polynomial", the definition of each terms will be introduced later. The second one is called ”Dui...
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Path integrals for spinning particles, stationary phase and the Duistermaat-Heckman theorem. Abstract We examine the problem of the evaluation of both the propagator and of the partition function of a spinning particle in an external field at the classical as well as the quantum level, in connection with the asserted exactness of the saddle point approximation (SPA) for this problem. At the cla...
متن کاملThe Zamolodchikov C - Function , Classical Closed String Field Theory , The Duistermaat - Heckman Theorem
In this article we formulate a ‘topological’ field theory by employing a generalization of the Duistermaat-Heckman Theorem to localize the path-integral of the ‘topological action’ C , where C is a slight modification of the Zamolodchikov C-Function, over the space of all two-dimensional field theories to the fixed points of the renormalization group’s identity component. Also, we propose an in...
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ژورنال
عنوان ژورنال: Surveys in High Energy Physics
سال: 1997
ISSN: 0142-2413,1477-2892
DOI: 10.1080/01422419708219643