Field Redefinition Invariance and "Extra Terms"

Details Field Redefinition Invariance and "Extra Terms" Field Redefinition Invariance and "Extra Terms"

1994-08-17

arxiv.org/abs/hep-th/9408100v2

Nucl.Phys. B479 (1996) 515-526

Physics

High Energy Physics

High Energy Physics - Theory

35pp. A more rigorous derivation of the quantum mechanical extra term is given. Work on the extension to the quantum field the

Scientific paper

10.1016/0550-3213(96)00451-8

We investigate the issue of coordinate redefinition invariance by carefully performing nonlinear transformations in the discretized quantum mechanical path integral. By resorting to hamiltonian path integral methods, we provide the first complete derivation of the extra terms (beyond the usual jacobian term) which arises in the action when a nonlinear transformation is made. We comment on possible connections with the renormalization group, by showing that these extra terms may emerge from a ``blocking" procedure. Finally, by performing field redefinitions before and after dimensional reduction of a two dimensional field theory, we derive an explicit form fo an extra term appearing in a field theory.

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