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Fermion-monopole system reexamined. III

Hidenaga Yamagishi

  • Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

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Phys. Rev. D 32, 1576 – Published 15 September, 1985

DOI: https://doi.org/10.1103/PhysRevD.32.1576

Abstract

A detailed derivation is presented for the fermion-monopole Hamiltonian, paying particular attention to the physical significance of various surface terms. The version of the s-wave Hamiltonian given by Callan is found to require amendment for the case of massive fermions. We also note that the dyon (rotor) degree of freedom cannot be interpreted as a localized charge, but should rather be regarded as a charge on a capacitor.

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References (36)

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  14. We have corrected a sign error.
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  16. For a partial justification, see Ref. 5. Note also that the back reaction of J and the Higgs field cancel in the Prasad-Sommerfield limit.
  17. There is a subtlety here, since Qtot is expected to change discontinuously at M = 0. However, there is a corresponding discontinuity in QscrJ, at least with our results.
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  19. We have taken a Dirac mass for the fermions. The case of a Higgs mass may be treated in a parallel manner.
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  28. Strictly speaking, this is the BC adopted by most of the authors, including Rubakov. See the appendix.
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  32. Actually, as first noted by Besson (Ref. 18), the series is infrared divergent as well for m = 0 if we take the correct Hamiltonian.
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  35. At this point (p. 2066 of Ref. 2), Callan has argued that the zero mode somehow acquires electric charge as a result of a complex collective effect. If this were the case however, one has lost the original basis for extracting the charge-mixing BC from the one-particle theory.
  36. A. Sen, Nucl. Phys. B250, 1 (1985).

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Phys. Rev. D 32, 1576– Published 15 September, 1985
  • Received 12 April 1984

© 1985 American Physical Society

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