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D. Grumiller:
"Path integral for half-binding potentials as quantum mechanical analog for black hole partition functions";
in: "9th International Conference On Path Integrals: New Trends And Perspectives (PI007)", issued by: W. Janke and A. Pelster; World Scientific, Singapore, 2008, 236 - 241.

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.

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.

http://publik.tuwien.ac.at/files/PubDat_170142.4115

Project Head Anton Rebhan:
Gravitation, Chern-Simons Erweiterungen, Topologie und Anwendungen in der Festkörperphysik