literature

Topological (Chern-Simons) Quantum Mechanics

Aug, 1989
12 pages
Published in:
  • Phys.Rev.D 41 (1990) 661
Report number:
  • MIT-CTP-1770

Citations per year

199019992008201720240510152025
Abstract: (APS)
We construct quantum-mechanical models that are analogs of three-dimensional, topologically massive as well as Chern-Simons gauge-field theories, and we study the phase-space reductive limiting procedure that takes the former to the latter. The zero-point spectra of operators behave discontinuously in the limit, as a consequence of a nonperturbative quantum-mechanical anomaly. The nature of the limit for wave functions depends on the representation, but is always such that normalization is preserved.
  • quantum mechanics
  • effective action
  • gauge field theory: Chern-Simons term
  • dimension: 3
  • charge: topological