Chiral Quark Dynamics

1. Front Matter

   Pages I-VIII

   PDF

2. Introduction

   Pages 1-4

3. Reduction of Low-Energy QCD to QFD

   Pages 5-16

4. The Effective Meson Theory

   Pages 17-48

5. Baryons as Chiral Solitons

   Pages 49-84

6. Baryons as Bound States of Diquarks and Quarks

   Pages 85-99

7. On the Description of Baryons: An Outlook

   Pages 100-101

8. Back Matter

   Pages 102-115

   PDF

These notes give an introduction to the description of hadrons, i.e., mesons and baryons, within a quark model based on a chirally invariant quantum field theory. Emphasis is put on a didactic approach intended for graduate students with some background on functional integral techniques. Starting from QCD a motivation of a specific form of the effective quark interaction is given. Functional integral bosonization leads to a theory describing successfully meson properties. It possesses solitonic solutions which are identified as baryons. Via functional integral techniques a Faddeev equation for baryons describing them as bound states of a diquark and a quark is derived. Finally, a unification of these two complementary pictures of baryons is proposed.

• Baryon
• Boson
• Chirale Solitonen
• Chirale Symmetrie
• Faddeec Equation
• Fadeevgleichung
• Mambu-Jona-Lasinio Model
• Meson
• Quark
• chiral symmetry
• hadron
• quantenchromodynamik
• quantum field
• quantum field theory
• soliton

• Institute for Theoretical Physics, University of Tübingen, Tübingen, Germany

  Reinhard Alkofer, Hugo Reinhardt

Policies and ethics