Bosonization in Particle Physics

Abstract

Path integral techniques in collective fields are shown to be a useful analytical tool to reformulate a field theory defined in terms of microscopic quark (gluon) degrees of freedom as an effective theory of collective boson (meson) fields. For illustrations, the path integral bosonization approach is applied to derive a (non)linear sigma model from a Nambu-Jona-Lasinio (NJL) quark model. The method can be extended to include higher order derivative terms in meson fields or heavy-quark symmetries. It is also approximately applicable to QCD.

12 pages, LaTeX, uses lamuphys.sty, 5 LaTeX figures, talk given at the Workshop "Field Theoretical Tools in Polymer and Particle Physics", University Wuppertal, June 17-19, 1997

Cited by in corpus (7)

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• Predicting D -> sigma pi
• Confinement in QCD and generic Yang-Mills theories with matter representations
• A unified composite model of inflation and dark matter in the Nambu-Jona-Lasinio theory
• Axions and Superfluidity in Weyl Semimetals
• One-meson-loop NJL model: Effect of collective and noncollective excitations on the quark condensate at finite temperature
• The sigma and rho in D and B decays