Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-10-17
Phys.Lett. B523 (2001) 205-210
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, LaTeX2e
Scientific paper
10.1016/S0370-2693(01)01312-0
The field-theoretic one-loop effective action in a static scalar background depending nontrivially on a single spatial coordinate is related, in the proper-time formalism, to the trace of the evolution kernel (or heat kernel) for an appropriate, one dimensional, quantum-mechanical Hamiltonian. We describe a recursive procedure applicable to these traces for shape-invariant Hamiltonians, resolving subtleties from the continuum mode contributions by utilizing the expression for the regularized Witten index. For some cases which include those of domain-wall-type scalar backgrounds, our recursive procedure yields the full expression for the scalar or fermion one-loop effective action in both (1+1) and (3+1)-dimensions.
Kim Chanju
Kwon O-Kab
Lee Choonkyu
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