12 research outputs found
Path integral for half-binding potentials as quantum mechanical analog for black hole partition functions
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.Comment: 6 pages, proceedings contribution to "Path integrals - New Trends and
Perspectives", Dresden, September 200