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 -