Quarks Bound by Chiral Fields: The Quark Structure of the Vacuum and of Light Mesons and Baryons

Hardcover | June 1, 1997

byGeorges Ripka

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The structure of light hadrons is dominated by the spontaneously broken chiral symmetry of the strongly interacting (QCD) vacuum. Low energy properties of light hadrons can be described in terms of quarks interacting with chiral fields. This book gives a comprehensive account of a largeclass of models which describe the restoration of chiral symmetry at high temperature and density, the effective interactions between quarks, mesons as solutions of the Beth-Salpeter equation, and baryons in terms of solitons which rotate in flavor space. An in-depth analysis of regularization isgiven, including regularization by delocalized fields. Symmetry conserving approximations are formulated using both path integral and Feynmann graph methods. The style is pedagogical and well suited to graduate and PhD students who want to learn the techniques used in present day research. It canalso serve as a reference for research and lecture courses.

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The structure of light hadrons is dominated by the spontaneously broken chiral symmetry of the strongly interacting (QCD) vacuum. Low energy properties of light hadrons can be described in terms of quarks interacting with chiral fields. This book gives a comprehensive account of a largeclass of models which describe the restoration o...

Georges Ripka is at Centre d'Etudes de Saclay.

other books by Georges Ripka

Format:HardcoverDimensions:224 pages, 9.21 × 6.14 × 0.67 inPublished:June 1, 1997Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:019851784X

ISBN - 13:9780198517849

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Table of Contents

Introduction1. Quark bilinear operators2. Effective quark interactions3. The NambuJona-Lasinio model4. The equivalent linear sigma model5. Regularization6. Correlation functions: basic properties7. Symmetry conserving approximations8. Correlation functions in the NambuJona-Lasinio model9. Overview of results in the meson sector10. Further chiral quark models11. Chiral Solitons12. Rotations of solitons in flavor spaceA. SU(N) matrices, Dirac matrices, Fierz transformationsB. The SU(N) rotorC. BosonizationReferences