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    Chiral Langrangian with confinement from the QCD Langrangian

    An effective Langrangian 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 effective chiral Langrangian is obtained containing all set of fields. The new and crucial result is that the condensation of scalar isoscalar field which is a 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 rest bosonic fields describe mesons with the q{vec}q quark structure and pseudoscalars play the role of Nambu-Goldstone fields. Using derivative expansion the effective chiral Langrangian 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 Nc arguments.

    This work was supported by U.S. DOE under contract DE-AC05-84ER40150.

    Author: Yu. A. Simonov



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