/ 94 08 10 0 v 2 2 8 N ov 1 99 5 Field Redefinition Invariance and “ Extra ” Terms

Abstract

We investigate the issue of coordinate redefinition invariance by carefully performing nonlinear transformations in the discretized in quantum mechanical path integral. By resorting to hamiltonian path integral methods, we provide the first complete derivation of the extra term (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 for an extra term appearing in a quantum field theory. July 1995 UTTG-29-93 apfel@utpapa.ph.utexas.edu cordonez@utaphy.ph.utexas.edu Current address: University of Texas, Austin

Cite this paper

@inproceedings{Apfeldorf199590, title={/ 94 08 10 0 v 2 2 8 N ov 1 99 5 Field Redefinition Invariance and “ Extra ” Terms}, author={Karyn M. Apfeldorf and Carlos Ordonez}, year={1995} }