Field Redefinition Invariance in Quantum Field Theory

Details Field Redefinition Invariance in Quantum Field Theory Field Redefinition Invariance in Quantum Field Theory

2000-03-30

arxiv.org/abs/hep-th/0003287v2

Mod.Phys.Lett. A16 (2001) 103-112

Physics

High Energy Physics

High Energy Physics - Theory

7 pages

Scientific paper

10.1142/S021773230100319X

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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