Quantum Bound States in Yang–Mills–Higgs Theory

Lyonell Boulton, Bernd Johannes Schroers*, Kim Smedley-Williams

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)
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We give rigorous proofs of the existence of infinitely many (non-BPS) bound states for two linear operators associated with the Yang–Mills–Higgs equations at vanishing Higgs self-coupling and for gauge group SU(2): the operator obtained by linearising the Yang–Mills–Higgs equations around a charge one monopole and the Laplace operator on the Atiyah–Hitchin moduli space of centred charge two monopoles. For the linearised system we use the Riesz–Galerkin approximation to compute upper bounds on the lowest 20 eigenvalues. We discuss the similarities in the spectrum of the linearised system and the Laplace operator, and interpret them in the light of electric–magnetic duality conjectures.

Original languageEnglish
Pages (from-to)261-287
Number of pages27
JournalCommunications in Mathematical Physics
Issue number1
Early online date25 Aug 2018
Publication statusPublished - Oct 2018

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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