Chiral Langrangian with confinement from the QCD Langrangian

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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{rvec ... continued below

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709 Kilobytes pages

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Simonov, Yu A. January 1, 2002.

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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{rvec 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 N{sub c} arguments.

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709 Kilobytes pages

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  • Report No.: JLAB-THY-02-02
  • Report No.: DOE/ER/40150-1975
  • Grant Number: AC05-84ER40150
  • Office of Scientific & Technical Information Report Number: 789969
  • Archival Resource Key: ark:/67531/metadc717372

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  • January 1, 2002

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  • Sept. 29, 2015, 5:31 a.m.

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  • Feb. 5, 2016, 8:42 p.m.

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Simonov, Yu A. Chiral Langrangian with confinement from the QCD Langrangian, article, January 1, 2002; Newport News, Virginia. (digital.library.unt.edu/ark:/67531/metadc717372/: accessed December 11, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.