Zero mode solutions of quark Dirac equations in QCD as the sources of chirality violating condensates
B.L. Ioffe

TL;DR
This paper shows that chirality-violating condensates in massless QCD originate from zero mode solutions of Dirac equations, and introduces a model to calculate quark condensate magnetic susceptibilities in external electromagnetic fields.
Contribution
It proposes a novel explanation for chirality-violating condensates based on zero modes and develops a model to compute related magnetic susceptibilities.
Findings
Chirality-violating condensates arise from zero mode solutions.
A model for calculating quark condensate magnetic susceptibilities is introduced.
The approach links zero modes to observable QCD properties.
Abstract
It is demonstrated, that chirality violating condensates in massless QCD arise from zero mode solutions of Dirac equations in arbitrary gluon fields. Basing of this idea, the model is suggested, which allows one to calculate quark condensate magnetic susceptibilities in the external constant electromagnetic field.
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