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Path integral quantization of the Poisson-Sigma model

TLDR
In this paper, the authors apply the antifield quantization method of Batalin and Vilkovisky to the calculation of the path integral for the Poisson-Sigma model in a general gauge.
Abstract
We apply the antifield quantization method of Batalin and Vilkovisky to the calculation of the path integral for the Poisson-Sigma model in a general gauge. For a linear Poisson structure the model reduces to a nonabelian gauge theory, and we obtain the formula for the partition function of two-dimensional Yang-Mills theory for closed oriented two-dimensional manifolds.

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Journal ArticleDOI

Dilaton gravity in two-dimensions

TL;DR: In this paper, a review of general two-dimensional models of gravity allows to tackle basic questions of quantum gravity, bypassing important technical complications which make the treatment in higher dimensions difficult.
Journal ArticleDOI

Deformation quantization in the teaching of quantum mechanics

TL;DR: In this paper, the authors discuss the deformation quantization approach for the teaching of quantum mechanics and demonstrate how it can be used to solve specific problems and clarify its relation to conventional quantization and path integral techniques.
Journal ArticleDOI

Star products made (somewhat) easier

TL;DR: In this article, the authors developed an approach to the deformation quantization on the real plane with an arbitrary Poisson structure which is based on Weyl symmetrically ordered operator products.
Journal ArticleDOI

Star products made (somewhat) easier

TL;DR: In this article, the authors developed an approach to the deformation quantization on the real plane with an arbitrary Poisson structure which based on Weyl symmetrically ordered operator products.
Posted Content

Wormholes in Quantum Mechanics

TL;DR: In this article, a geometric path integral definition of wormhole partition functions in a general class of 1D quantum systems obtained by quantizing a phase space is introduced, and the partition function of the nfold wormhole is found to be identical to the n-th Renyi entropy of a thermal mixed state of the doubled system.