A Chiral Perturbation Theory Primer

Physics – High Energy Physics – High Energy Physics - Phenomenology

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150 pages, 16 figures, 50 exercises, lectures given at the ECT* Doctoral Training Programme 2005 (Marie Curie Training Site) "

Scientific paper

These lecture notes include the following topics. Chapter 1 deals with QCD and its global symmetries in the chiral limit, explicit symmetry breaking in terms of the quark masses, and the concept of Green functions and Ward identities reflecting the underlying chiral symmetry. In Chapter 2 the idea of a spontaneous breakdown of a global symmetry is discussed and its consequences in terms of the Goldstone theorem are demonstrated. Chapter 3 deals with mesonic chiral perturbation theory and the principles entering the construction of the chiral Lagrangian are outlined. In Chapter 4 the methods are extended to include the interaction between Goldstone bosons and baryons in the single-baryon sector.

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