Inequivalent quantizations and fundamentally perfect spaces

Tom D. Imbo and E. C. G. Sudarshan
Phys. Rev. Lett. 60, 481 – Published 8 February 1988
PDFExport Citation

Abstract

We investigate the problem of inequivalent quantizations of a physical system with multiply connected configuration space X. For scalar quantum theory on X we show that state vectors must be single valued if and only if the first homology group H1(X) is trivial, or equivalently the fundamental group π1(X) is perfect. The θ structure of quantum gauge and gravitational theories is discussed in light of this result.

  • Received 22 June 1987

DOI:https://doi.org/10.1103/PhysRevLett.60.481

©1988 American Physical Society

Authors & Affiliations

Tom D. Imbo and E. C. G. Sudarshan

  • Center for Particle Theory, University of Texas at Austin, Austin, Texas 78712

References (Subscription Required)

Click to Expand
Issue

Vol. 60, Iss. 6 — 8 February 1988

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×