Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-04-18
Physics
High Energy Physics
High Energy Physics - Theory
11 pages
Scientific paper
We study the semiclassical partition function in the frame work of the Morse theory, to clarify the phase factor of the partition function and to relate it to the eta invariant of Atiyah. Converting physical system with potential into a curved manifold, we exploit the Jacobi fields and their corresponding eigenvalue equations to be associated with geodesics on the curved manifold and the Hamilton-Jacobi theory.
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