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PERFECT LATTICE TOPOLOGY: THE QUANTUM ROTOR AS A TEST CASE

Publication ,  Journal Article
Bietenholz, W; Brower, R; Chandrasekharan, S; Wiese, UJ
Published in: Phys. Lett. B
1997

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.

Duke Scholars

Published In

Phys. Lett. B

Publication Date

1997

Volume

407

Start / End Page

283 / 289

Related Subject Headings

  • Nuclear & Particles Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0201 Astronomical and Space Sciences
  • 0105 Mathematical Physics
 

Citation

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Bietenholz, W., Brower, R., Chandrasekharan, S., & Wiese, U. J. (1997). PERFECT LATTICE TOPOLOGY: THE QUANTUM ROTOR AS A TEST CASE. Phys. Lett. B, 407, 283–289.
Bietenholz, W., R. Brower, S. Chandrasekharan, and U. J. Wiese. “PERFECT LATTICE TOPOLOGY: THE QUANTUM ROTOR AS A TEST CASE.” Phys. Lett. B 407 (1997): 283–89.
Bietenholz W, Brower R, Chandrasekharan S, Wiese UJ. PERFECT LATTICE TOPOLOGY: THE QUANTUM ROTOR AS A TEST CASE. Phys Lett B. 1997;407:283–9.
Bietenholz, W., et al. “PERFECT LATTICE TOPOLOGY: THE QUANTUM ROTOR AS A TEST CASE.” Phys. Lett. B, vol. 407, 1997, pp. 283–89.
Bietenholz W, Brower R, Chandrasekharan S, Wiese UJ. PERFECT LATTICE TOPOLOGY: THE QUANTUM ROTOR AS A TEST CASE. Phys Lett B. 1997;407:283–289.

Published In

Phys. Lett. B

Publication Date

1997

Volume

407

Start / End Page

283 / 289

Related Subject Headings

  • Nuclear & Particles Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0201 Astronomical and Space Sciences
  • 0105 Mathematical Physics