Missing final state puzzle in the monopole-fermion scattering

Kitano, Ryuichiro; Matsudo, Ryutaro

doi:10.1016/j.physletb.2022.137271

Cited by 9 publications

(8 citation statements)

References 29 publications

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“…See Refs. [29][30][31] for recent proposals. In the following sections, we review the solution of problem (i) following Ref.…”

Section: Unitarity Paradoxmentioning

confidence: 99%

“…To the best of our knowledge, there are three recent proposals [29][30][31] as a solution to the unitarity paradox on 4d. Here, we briefly comment on these proposals and their possible relation with our proposal.…”

Section: Comments On Other Proposalsmentioning

confidence: 99%

“…• Kitano-Matsudo [29] They argue for the existence of a new fermion whose charge is the same as X in Eq. (2.30).…”

Section: Comments On Other Proposalsmentioning

confidence: 99%

“…It is difficult to find such a candidate in the four-dimensional perspective, and this is sometimes referred to as "unitarity paradox". Many authors have described it in different ways, sometimes in accordance and sometimes in conflict with one another [24,[29][30][31]. We briefly summarise each description in the discussion section.…”

Section: Introductionmentioning

confidence: 99%

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Monopole-fermion scattering and varying Fock space

Hamada,

Kitahara,

Sato

2022

Preprint

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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.

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“…See Refs. [29][30][31] for recent proposals. In the following sections, we review the solution of problem (i) following Ref.…”

Section: Unitarity Paradoxmentioning

confidence: 99%

Section: Comments On Other Proposalsmentioning

confidence: 99%

“…• Kitano-Matsudo [29] They argue for the existence of a new fermion whose charge is the same as X in Eq. (2.30).…”

Section: Comments On Other Proposalsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Monopole-fermion scattering and varying Fock space

Hamada,

Kitahara,

Sato

2022

Preprint

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show abstract

“…It is difficult to find such a candidate in the four-dimensional perspective, and this is sometimes referred to as "unitarity paradox". Many authors have described it in different ways, sometimes in accordance and sometimes in conflict with one another [25,[30][31][32]. We briefly summarise each description in the discussion section.…”

Section: Jhep11(2022)116mentioning

confidence: 99%

Monopole-fermion scattering and varying Fock space

Hamada

Kitahara

Sato

2022

J. High Energ. Phys.

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Callan-Rubakov effect and higher charge monopoles

Brennan

2023

J. High Energ. Phys.

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In this paper we study the interaction between magnetic monopoles and massless fermions. In the low energy limit, the monopole’s magnetic field polarizes the fermions into purely in-going and out-going modes. Consistency requires that the UV fermion-monopole interaction leads to non-trivial IR boundary conditions that relate the in-going to out-going modes. These non-trivial boundary conditions lead to what is known as the Callan-Rubakov effect. Here we derive the effective boundary condition by explicitly integrating out the UV degrees of freedom for the general class of spherically symmetric SU(N) monopoles coupled to massless fermions of arbitrary representation. We then show that the boundary conditions preserve symmetries without ABJ-type anomalies. As an application we explicitly derive the boundary conditions for the stable, spherically symmetric monopoles associated to the SU(5) Georgi-Glashow model and comment on the relation to baryon number violation.

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Missing final state puzzle in the monopole-fermion scattering

Cited by 9 publications

References 29 publications

Monopole-fermion scattering and varying Fock space

Monopole-fermion scattering and varying Fock space

Monopole-fermion scattering and varying Fock space

Callan-Rubakov effect and higher charge monopoles

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