Regular Article - Theoretical Physics
Quark condensate for various heavy flavors
Departamento de Física and Centro de Física das Interacções Fundamentais, Instituto Superior Técnico, UT Lisboa, Av. Rovisco Pais, 1049-001, Lisbon, Portugal
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Revised: 19 September 2012
Published online: 10 October 2012
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.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2012