Field Redefinition Invariance in Quantum Field Theory
Karyn M. Apfeldorf, Horacio E. Camblong, Carlos R. Ordonez
Abstract
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.
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