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Coordinate redefinition invariance and “extra” terms

Authors
Journal
Nuclear Physics B
0550-3213
Publisher
Elsevier
Publication Date
Volume
479
Identifiers
DOI: 10.1016/0550-3213(96)00451-8
Keywords
  • Methods In Theoretical Physics
Disciplines
  • Physics

Abstract

Abstract We investigate the issue of coordinate redefinition invariance by carefully performing non-linear transformations in the discretized 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 non-linear transformation is made. We comment on possible connections with the renormalization group, by showing that these extra terms may emerge from a “blocking” procedure.

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