• Soliton and boundary condition induced fractional fermion number

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    • Keywords


      Soliton; boundary condition; fermion; charge conjugation

    • Abstract


      We show that for a fermion in a bounded background potential in a finite box, eigenvalues of the total charge are independent of whether the potential is solitonic and depend only on the boundary condition: half-odd integral or integral for charge conjugation (C) invariant boundary conditions and an arbitrary fraction forC non-invariant boundary conditions. Fractional fermion numbers for infinite space Jackiw-Rebbi and Goldstone-Wilczek Hamiltonians are reproduced in finite space by using boundary conditions different from the periodic ones of Rajaraman and Bell.

    • Author Affiliations


      S M Roy1 Virendra Singh1

      1. Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay - 400 005, India
    • Dates

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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