Path integral for half-binding potentials as quantum mechanical analog for black hole partition functions
Quantum Physics
2017-08-23 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Abstract
The semi-classical approximation to black hole partition functions is not well-defined, because the classical action is unbounded and the first variation of the uncorrected action does not vanish for all variations preserving the boundary conditions. Both problems can be solved by adding a Hamilton-Jacobi counterterm. I show that the same problem and solution arises in quantum mechanics for half-binding potentials.
Cite
@article{arxiv.0711.4115,
title = {Path integral for half-binding potentials as quantum mechanical analog for black hole partition functions},
author = {Daniel Grumiller},
journal= {arXiv preprint arXiv:0711.4115},
year = {2017}
}
Comments
6 pages, proceedings contribution to "Path integrals - New Trends and Perspectives", Dresden, September 2007