Chiral lagrangian with confinement from the QCD Lagrangian

An effective Lagrangian for the light quark in the field of a static source is derived systematically using the exact field correlator expansion. The lowest Gaussian term is bosonized using nonlocal colorless bosonic fields and a general structure of an effective chiral Lagrangian is obtained containing all sets of fields. The new and crucial result is that the condensation of the scalar isoscalar field which is the usual onset of chiral symmetry breaking and is constant in space-time, assumes here the form of the confining string, and contributes to the confining potential, while the remaining bosonic fields describe mesons with the q (q) over bar quark structure and pseudoscalars play the role of Nambu-Goldstone fields. Using a derivative expansion, the effective chiral Lagrangian is deduced containing both confinement and chiral effects for heavy-light mesons. The pseudovector quark coupling constant is computed to be exactly unity in the local limit, in agreement with earlier large N-c arguments.