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arXiv · 1209.0408

Quark condensate for various heavy flavors

Dmitri Antonov·Jose Emilio F. T. Ribeiro
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Abstract

The quark condensate is calculated within the world-line effective-action formalism, by using for the Wilson loop an ansatz provided by the stochastic vacuum model. Starting with the relation between the quark and the gluon condensates in the heavy-quark limit, we diminish the current quark mass down to the value of the inverse vacuum correlation length, finding in this way a 64%-decrease in the absolute value of the quark condensate. In particular, we find that the conventional formula for the heavy-quark condensate cannot be applied to the c-quark, and that the corrections to this formula can reach 23% even in the case of the b-quark. We also demonstrate that, for an exponential parametrization of the two-point correlation function of gluonic field strengths, the quark condensate does not depend on the non-confining non-perturbative interactions of the stochastic background Yang-Mills fields.

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Dmitri Antonov, Jose Emilio F. T. Ribeiro. 2012-10-04. Quark condensate for various heavy flavors. https://doi.org/10.1140/epjc%2Fs10052-012-2179-7

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