Path integral quantization of the Poisson-Sigma model
نویسندگان
چکیده
منابع مشابه
Poisson Sigma Models and Deformation Quantization
This is a review aimed at a physics audience on the relation between Poisson sigma models on surfaces with boundary and deformation quantization. These models are topological open string theories. In the classical Hamiltonian approach, we describe the reduced phase space and its structures (symplectic groupoid), explaining in particular the classical origin of the non-commutativity of the strin...
متن کاملPath integral quantization of parametrised field theory
Free scalar field theory on a flat spacetime can be cast into a generally covariant form known as parametrised field theory in which the action is a functional of the scalar field as well as the embedding variables which describe arbitrary , in general curved, foliations of the flat spacetime. We construct the path integral quantization of parametrised field theory in order to analyse issues at...
متن کاملWorldsheet Covariant Path Integral Quantization of Strings
We discuss a covariant functional integral approach to the quantization of the bosonic string. In contrast to approaches relying on non-covariant operator regularizations, interesting operators here are true tensor objects with classical transformation laws, even on target spaces where the theory has a Weyl anomaly. Since no implicit noncovariant gauge choices are involved in the definition of ...
متن کاملPath Integral Quantization of Cosmological Perturbations
We derive the first order canonical formulation of cosmological perturbation theory in a Universe filled by a few scalar fields. This theory is quantized via well-defined Hamiltonian path integral. The propagator which describes the evolution of the initial (for instance, vacuum) state, is calculated.
متن کاملPath Integral Quantization and Riemannian-Symplectic Manifolds
We develop a mathematically well-defined path integral formalism for general symplectic manifolds. We argue that in order to make a path integral quantization covariant under general coordinate transformations on the phase space and involve a genuine functional measure that is both finite and countably additive, the phase space manifold should be equipped with a Riemannian structure (metric). A...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annalen der Physik
سال: 2000
ISSN: 0003-3804,1521-3889
DOI: 10.1002/(sici)1521-3889(200002)9:2<83::aid-andp83>3.0.co;2-s