A sphaleron for the non-Abelian anomaly
F.R. Klinkhamer, C. Rupp
TL;DR
This paper introduces a new sphaleron solution in SU(3) Yang-Mills-Higgs theory, which may influence nonperturbative QCD dynamics through fermion zero modes and the non-Abelian anomaly.
Contribution
It presents a self-consistent Ansatz for a novel sphaleron in SU(3) Yang-Mills-Higgs theory, linking gauge configurations to the non-Abelian anomaly.
Findings
Existence of a sphaleron solution in SU(3) Yang-Mills-Higgs theory
Presence of fermion zero modes associated with the sphaleron
Potential role in nonperturbative QCD phenomena
Abstract
A self-consistent Ansatz for a new sphaleron of SU(3) Yang-Mills-Higgs theory is presented. With a single triplet of Weyl fermions added, there exists, most likely, one pair of fermion zero modes, which is known to give rise to the non-Abelian (Bardeen) anomaly as a Berry phase. The corresponding SU(3) gauge field configuration could take part in the nonperturbative dynamics of Quantum Chromodynamics.
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