Supersymmetric quantum mechanics and the DeWitt effective action

Details Supersymmetric quantum mechanics and the DeWitt effective action Supersymmetric quantum mechanics and the DeWitt effective action

Aug 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997phrvd..56.2080k&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 56, Issue 4, 15 August 1997, pp.2080-2085

Physics

2

Canonical Formalism, Lagrangians, And Variational Principles, Fundamental Problems And General Formalism, Covariant And Sum-Over-Histories Quantization

Scientific paper

We study the partition function of N=1 supersymmetric de Rham quantum mechanics on a Riemannian manifold, with a nontrivial chemical potential μ for the fermions. General arguments imply that when μ-->∞ we should get the partition function of a free point particle on a Riemannian manifold. We investigate this limit by exact evaluation of the fermionic path integral. By demanding cancellation of quantum-mechanical anomalies, we find the DeWitt term with a definite numerical factor.

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