2000/03/31 by Karyn M. Apfeldorf, Horacio E. Camblong, Carlos R. Ordonez
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1142/s021773230100319x
published as Mod.Phys.Lett. A16 (2001) 103-112 · 7 pages
arxiv created 2000/09/11 · arxiv updated 2009/11/30
The issue of field redefinition invariance of path integrals in quantum field theory is reexamined. A ``paradox'' is presented involving the reduction to an effective quantum-mechanical theory of a (d+1)-dimensional free scalar field in a Minkowskian spacetime with compactified spatial coordinates. The implementation of field redefinitions both before and after the reduction suggests that operator-ordering issues in quantum field theory should not be ignored.