An explicit formula for the Berezin star product
Quantum Algebra
2013-03-28 v2 Mathematical Physics
Differential Geometry
math.MP
Abstract
We prove an explicit formula of the Berezin star product on Kaehler manifolds. The formula is expressed as a summation over certain strongly connected digraphs. The proof relies on a combinatorial interpretation of Englis' work on the asymptotic expansion of the Laplace integral.
Keywords
Cite
@article{arxiv.1103.4175,
title = {An explicit formula for the Berezin star product},
author = {Hao Xu},
journal= {arXiv preprint arXiv:1103.4175},
year = {2013}
}
Comments
19 pages, to appear in Lett. Math. Phys