Chirality-violating condensates in QCD and their connection with zero-mode solutions of quark dirac equations |
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Authors: | B L Ioffe |
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Institution: | 1. Institute of Theoretical and Experimental Physics, Moscow, Russia
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Abstract: | We demonstrate that chirality-violating condensates in massless QCD arise entirely from zero-mode solutions of the Dirac equation
in arbitrary gluon fields. We propose a model in which the zero-mode solutions are the ones for quarks moving in the instanton
field and calculate the quark condensate magnetic susceptibilities χ of dimension three and κ and ξ of dimension five based
on this model. The good correspondence of the values of χ, κ, and ξ obtained using this approach with the values found from
the hadronic spectrum is a serious argument that instantons are the only source of chirality-violating condensates in QCD.
We discuss the temperature dependence of the quark condensate and show that the phase transition corresponding to the temperature
dependence α(T) of the quark condensate as an order parameter is a crossover-type transition. |
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Keywords: | |
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