TY - JOUR

T1 - One-loop effective actions in shape-invariant scalar backgrounds

AU - Kim, Chanju

AU - Lee, Choonkyu

N1 - Funding Information:
This work was supported in part by the BK21 project of the Ministry of Education, Korea, and also by Korea Research Foundation Grant 2001-015-DP0085 (C.L.).

PY - 2001/12/20

Y1 - 2001/12/20

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0035924195&partnerID=8YFLogxK

U2 - 10.1016/S0370-2693(01)01312-0

DO - 10.1016/S0370-2693(01)01312-0

M3 - Article

AN - SCOPUS:0035924195

SN - 0370-2693

VL - 523

SP - 205

EP - 210

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-2

ER -