FERMIONIC ZERO MODES FOR DYONS AND CHIRAL SYMMETRY BREAKING IN QCD
A. Gonzalez-Arroyo, Yu. A. Simonov
TL;DR
This paper studies fermionic zero modes in dyonic solutions of Yang-Mills theory and explores their role in chiral symmetry breaking within a dyonic QCD vacuum model.
Contribution
It provides a complete analysis of fermionic zero modes for dyons and links these modes to chiral symmetry breaking in QCD.
Findings
Fermionic zero modes are identified for dyonic solutions.
Chiral symmetry breaking is explained via zero modes in a dyonic vacuum.
Dyonic solutions can model the QCD vacuum similarly to instantons.
Abstract
Dyonic classical solutions of Yang-Mills theory are considered and the complete set of fermionic zero modes of these solutions are studied. Representing the QCD vacuum as a gas of dyons, one obtains chiral symmetry breaking due to zero modes similarly to the case of instantonic vacuum.
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