Quantum Bound States in Yang–Mills–Higgs Theory

Research output: Contribution to journalArticle

33 Downloads (Pure)

Abstract

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
Volume363
Issue number1
Early online date25 Aug 2018
DOIs
Publication statusPublished - Oct 2018

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Fingerprint Dive into the research topics of 'Quantum Bound States in Yang–Mills–Higgs Theory'. Together they form a unique fingerprint.

Cite this