Perfect lattice topology: The quantum rotor as a test case

Journal Article (Journal Article)

Lattice actions and topological charges that are classically and quantum mechanically perfect (i.e. free of lattice artifacts) are constructed analytically for the quantum rotor. It is demonstrated that the Manton action is classically perfect while the Villain action is quantum perfect. The geometric construction for the topological charge is only perfect at the classical level. The quantum perfect lattice topology associates a topological charge distribution, not just a single charge, with each lattice field configuration. For the quantum rotor with the classically perfect action and topological charge, the remaining cut-off effects are exponentially suppressed. © 1997 Published by Elsevier Science B.V.

Full Text

Duke Authors

Cited Authors

  • Bietenholz, W; Brower, R; Chandrasekharan, S; Wiese, UJ

Published Date

  • September 4, 1997

Published In

Volume / Issue

  • 407 / 3-4

Start / End Page

  • 283 - 289

International Standard Serial Number (ISSN)

  • 0370-2693

Digital Object Identifier (DOI)

  • 10.1016/S0370-2693(97)00742-9

Citation Source

  • Scopus