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Bosonization in particle physics

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Field Theoretical Tools for Polymer and Particle Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 508))

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 σ 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.

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Authors and Affiliations

  1. Institut für Physik, Humboldt-Universität zu Berlin, Invalidenstrasse 110, D-10115, Berlin, Germany

    Dietmar Ebert

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  1. Dietmar Ebert
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Hildegard Meyer-Ortmanns Andreas Klümper

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© 1998 Springer-Verlag

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Ebert, D. (1998). Bosonization in particle physics. In: Meyer-Ortmanns, H., Klümper, A. (eds) Field Theoretical Tools for Polymer and Particle Physics. Lecture Notes in Physics, vol 508. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0106879

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  • DOI: https://doi.org/10.1007/BFb0106879

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64308-1

  • Online ISBN: 978-3-540-69747-3

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