Trace identities and analytical evaluation of the functional determinants
- 15 December 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 46 (12) , 5550-5556
- https://doi.org/10.1103/physrevd.46.5550
Abstract
We study a relation between the Jost function and determinants of the differential operators considered in the semiclassical problems of quantum field theory at zero and nonzero temperatures. We use analytic properties of the Jost function to prove and generalize the trace identities in quantum mechanics. The formulas obtained are applied to the (1+1)-dimensional Abelian Higgs theory.Keywords
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