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Confinement and chiral symmetry breaking in heavy-light quark systems

P. Bicudo·N. Brambilla·E. Ribeiro·A. Vairo
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Abstract

Assuming a Gaussian approximation for the QCD gluodynamics, all the nonperturbative physics can be encoded into two parameters: the gluon correlation length $T_g$ and the gluon condensate $G_2$. 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 $T_g$ is derived. The energy spectrum for the bound state equation is evaluated and commented.

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P. Bicudo, N. Brambilla, E. Ribeiro, A. Vairo. 1998-07-22. Confinement and chiral symmetry breaking in heavy-light quark systems. https://doi.org/10.1016/s0370-2693(98)01220-9

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