Quark condensate for various heavy flavors
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.
Cite
@article{arxiv.1209.0408,
title = {Quark condensate for various heavy flavors},
author = {Dmitri Antonov and Jose Emilio F. T. Ribeiro},
journal= {arXiv preprint arXiv:1209.0408},
year = {2012}
}
Comments
12 pages, 2 figures, to appear in Eur. Phys. J. C