Monopole-fermion scattering and varying Fock space

Abstract

We propose a four-dimensional interpretation of the outgoing state of the scattering of a massless fermion off a Dirac monopole. It has been known that such a state has fractional fermion numbers and is necessarily outside the Fock space on top of ordinary perturbative vacuum, when more than two flavours of charged Dirac fermions are considered. In this paper, we point out that the Fock space of the fermions depends on the rotor degree of freedom of the monopole and changes by a monopole-fermion s-wave scattering. By uplifting the fermion-rotor system introduced by Polchinski, from two to four dimensions, we argue that the outgoing state can be understood as a state in a different Fock space.

28 pages, 2 figures, 1 table; v2: references added, matches version published in JHEP

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• Magnetic monopoles revisited: Models and searches at colliders and in the Cosmos
• Magnetic monopole search with the full MoEDAL trapping detector in 13 TeV $pp$ collisions interpreted in photon-fusion and Drell-Yan production
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Cited by in corpus (1)

• Boundary condition and reflection anomaly in $2+1$ dimensions