Blockvorlesung (Block lecture)
“Effective hadronic theories and models ”
Room: 02.114 (Aquarium room).
Dozent: Francesco Giacosa
This is a series of introductory lectures on QCD and chiral theories for master and PhD students. It will be in English.
The topics are: Groups, QCD Lagrangian and its symmetries (with special attention to dilatation symmetry and chiral symmetry),
large Nc, multiplets of quarks, glueballs, effective approaches of QCD, such as chiral models and chiral perturbation theory.
Detailed program (preliminary):
Monday 18/8: Introductory considerations on QCD: pdf.
Groups U(N) and SU(N): pdf
Yang-Milss Lagrangian. Dilatation symmetry and its breaking. Dilaton field and the dilaton potential: pdf.
Tuesday 19/8: How to read the PDG: composition of a quark and an antiquark in a nonrelativistic language: spin S, angular momentum L,
and total spin J; Parity and Charge Conjugation. Phenomenology of mesons: pdf.
Wednesday 20/8: Composition of a quark and an antiquark in a relativistic language: Quark-antiquark bilinears. P and C.
Quark-antiquark multiplets for Nf=2 and Nf=3: pdf.
Chiral transformations: pdf.
Thursday 21/8: Spontanoeus symmetry breaking. Construction of an effective model of QCD (without and with vector d.o.f.). Decays of
Results of the extended Linear Sigma Model (with vector mesons): pdf.
Introduction to chiral perturbation theory: pdf.
Friday 22/8: Condensation: what is that? And what is its fluctuation? pdf
Large-Nc: short introduction for mesons anf glueballs: pdf.
Literature (obviously only approximate…these are only some of the texts I have used…):
QCD (in general):
U. Mosel, Fields, symmetries, and quarks, Berlin, Germany: Springer (1999) 310 p
A. W. Thomas and W. Weise, The Structure of the Nucleon, Berlin, Germany: Wiley-VCH (2001) 389 p
E. Klempt, Glueballs, hybrids, pentaquarks: Introduction to hadron spectroscopy and review of selected topics,
E. Klempt and A. Zaitsev, Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts,
Phys. Rept. 454 (2007) 1 [arXiv:0708.4016 [hep-ph]].
Linear sigma Model and tis extensions:
ann all the theses of the chiral group in Ffm, see: http://th.physik.uni-frankfurt.de/~giacosa/chiralgroup.html
S.Scherer, Introduction to chiral perturbation theory,
Adv. Nucl. Phys 27 (2003) 277, [hep-ph/0210398].
J.Gasser, Light quark dynamics,
Lect. Notes Phys. 629 (2004) 1[hep-ph/0312367].
E. Witten, Baryons in the 1/n Expansion, Nucl. Phys. B 160 (1979) 57.
R. F. Lebed, Phenomenology of large N(c) QCD,Czech. J. Phys. 49 (1999) 1273 [nucl-th/9810080].