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Peer-reviewedCC BY 4.0Journal of High Energy Physics

What happens to wavepackets of fermions when scattered by the Maldacena-Ludwig wall?

  • Yuji Tachikawa1
  • Keita Tsuji1
  • Masataka Watanabe1
  1. 1The University of Tokyo
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Abstract

A bstract : We study wavepackets of exotic excitations after two-dimensional fermions are scattered by the boundary condition constructed by Maldacena and Ludwig, which turns elementary excitations into exotic fractionally-charged objects. They are of interest in the s-wave approximation of the fermion-monopole scattering in four-dimensional QED and of the multi-channel Kondo effect. Our main result is an explicit expression for the outgoing state of a pair of such particles. We show analytically and numerically that the expectation value 〈 N 〉 of the total number of fermions and anti-fermions diverges when the wavepacket is localized to a point. The energy and charge densities remain localized, and the charge integrated locally around each wavepacket is finite and fractional, as expected from the known action of the boundary condition.

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Cite

BibTeXRIS
BibTeX
@article{tachikawa2026what,
  title = {{What happens to wavepackets of fermions when scattered by the Maldacena-Ludwig wall?}},
  author = {Yuji Tachikawa and Keita Tsuji and Masataka Watanabe},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)140},
  url = {https://link.springer.com/10.1007/JHEP10(2026)140},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - What happens to wavepackets of fermions when scattered by the Maldacena-Ludwig wall?
AU  - Yuji Tachikawa
AU  - Keita Tsuji
AU  - Masataka Watanabe
PY  - 2026
DA  - 2026/10/12
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)140
UR  - https://link.springer.com/10.1007/JHEP10(2026)140
AB  - A bstract : We study wavepackets of exotic excitations after two-dimensional fermions are scattered by the boundary condition constructed by Maldacena and Ludwig, which turns elementary excitations into exotic fractionally-charged objects. They are of interest in the s-wave approximation of the fermion-monopole scattering in four-dimensional QED and of the multi-channel Kondo effect. Our main result is an explicit expression for the outgoing state of a pair of such particles. We show analytically and numerically that the expectation value 〈 N 〉 of the total number of fermions and anti-fermions diverges when the wavepacket is localized to a point. The energy and charge densities remain localized, and the charge integrated locally around each wavepacket is finite and fractional, as expected from the known action of the boundary condition.
SN  - 1029-8479
ER  -