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Classical and quantum scattering on a cone

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Abstract

The “topological” scattering of a quantized test particle in the locally flat conical geometry of a localized source in 2+1-dimensional gravity is analyzed. Wave functions and scattering amplitudes are obtained and compared with those recently found in a different approach by ‘t Hooft. The propagator [heat kernel] is also determined.

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Author notes

  1. S. Deser

    Present address: Physics Department, Brandeis University, 02254, Waltham, MA, USA

Authors and Affiliations

  1. Department of Physics, Boston University, 590 Commonwealth Avenue, 02215, Boston, MA, USA

    S. Deser

  2. Center for Theoretical Physics, Laboratory for Nuclear Science, and Department of Physics, Massachusetts Institute of Technology, 02139, Cambridge, MA, USA

    R. Jackiw

Authors
  1. S. Deser
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  2. R. Jackiw
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Additional information

Communicated by L. Alvarez-Gaumé

This work is supported in part by funds provided by NSF grants PHY 82-01094, 88-04561 and the U.S. Department of Energy (D.O.E.) under contract # DE-AC02-76ER03069

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Deser, S., Jackiw, R. Classical and quantum scattering on a cone. Commun.Math. Phys. 118, 495–509 (1988). https://doi.org/10.1007/BF01466729

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  • DOI: https://doi.org/10.1007/BF01466729

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