Path integral for half-binding potentials as quantum mechanical analog for black hole partition functions

Details Path integral for half-binding potentials as quantum mechanical analog for black hole partition functions Path integral for half-binding potentials as quantum mechanical analog for black hole partition functions

2007-11-27

arxiv.org/abs/0711.4115v1

Physics

Quantum Physics

6 pages, proceedings contribution to "Path integrals - New Trends and Perspectives", Dresden, September 2007

Scientific paper

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.

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