Reparametrization of paths in manifolds

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1991 English Publisher:Springer Science and Business Media LLCJournal:Il Nuovo Cimento B Series 11, volume 106, pages 727-736 (eissn: 1826-9877,

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Authors: M. Socolovsky;

doi: 10.1007/bf02722540

Reparametrization of paths in manifolds

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Abstract

We discuss some aspects of the construction of the principal fiber bundleEiI→EiI/Aut(I), whereEiI is the space of free and injective paths in an arbitrary topological spaceE, and Aut(I) is the group of automorphisms of the interval. The connection with quantum mechanics in the path integral formalism is presented, and it is qualitatively shown the naturalness of the ghost fields.

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