Resurgent Deformation Quantisation
Mathematical Physics
2015-01-12 v2 Algebraic Geometry
math.MP
Quantum Algebra
Quantum Physics
Abstract
We construct a version of the complex Heisenberg algebra based on the idea of endless analytic continuation. In particular, we exhibit an integral formula for the product of resurgent operators with algebraic singularities. This algebra would be large enough to capture quantum effects that escape ordinary formal deformation quantisation.
Cite
@article{arxiv.1309.0437,
title = {Resurgent Deformation Quantisation},
author = {Mauricio Garay and Axel de Goursac and Duco van Straten},
journal= {arXiv preprint arXiv:1309.0437},
year = {2015}
}
Comments
28 pages, v2: published version