Partition functions and Jacobi fields in the Morse theory

[摘要] 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 eigenvalues of the Sturm-Liouville operator to be associated with geodesics on the curved manifold and with the Hamilton-Jacobi theory. (C) 2003 Elsevier Science B.V. All rights reserved.

[发布日期] 2003-11-01

[关键词] Morse theory;Jacobi field;partition function;eta invariant