Confinement and chiral symmetry breaking in heavy-light quark systems

Assuming a Gaussian approximation for the QCD gluodynamics, all the nonperturbative physics can be encoded into two parameters: the gluon correlation length Tg and the gluon condensate G2. These parameters are sufficient in order to describe the heavy-heavy quark nonperturbative interaction. In this work we adopt the same framework in order to study heavy-light bound states in the non-recoil limit. Spontaneous chiral symmetry breaking and a confining chiral non-invariant interaction emerge quite naturally. The gap equation is solved and discussed. In particular a relation between the light quark condensate and Tg is derived. The energy spectrum for the bound state equation is evaluated and commented. Preprint submitted to Elsevier Preprint 7 February 2008