Advanced School of ITEP on Particle Theory. ASIPT-99 25 February - 5 March 1999. http://www.lattice.itep.ru/ASIPT-99 Mirror site:  http://www.desy.de/~ozerov/ASIPT.html

1. Chiral symmetry in QCD and its spontaneous violation.
   Prof. B.L.Ioffe, 25 February 10:45 - 11:45 (10 pages, 486 K).
   

   Lagrangian of QCD. Asymptotic freedom. Masses of u, d and s quarks. Chiral symmetry. Baryon masses, spontaneously broken chiral symmetry. Goldberger-Treiman relation. Goldstone bosons. PCAC. Adler's theorem. Gell-Mann-Oakes-Renner relation. Chiral condensate. Chiral lagrangian.

2. QCD sum rules. Meson and baryon masses.
   Prof. B.L.Ioffe, 26 February 10:45 - 11:45 (17 pages, 854 K).
   

   Operator expansion. Anomalous dimensions. Correlator of currents with quantum numbers of proton and -resonance. The choice of the currents. Chiral conserving and violating structures. Calcilation of leading terms. Borel transformation. Model of spectra. Analysis of the QCD sum rules for proton mass. - and -mesons, contradictions with sum rules. Role of the instantons.

3. QCD sum rules in the external fields.
   Prof. B.L.Ioffe, 27 February 10:45 - 11:45 (8 pages, 450 K).
   

   Vacuum expectation values induced by external fields. Nucleon magnetic moments. Magnetic susceptibility of the quark condensate. Calculations of the correlators. Hadronic spectrum representation. Role of the non-diagonal transitions. QCD sum rules for magnetic moments of the nucleons and hyperons. Misuse of QCD sum rules.

   QCD:Nonperturbative vs perturbative

4. Prof. Yu.A.Simonov, 1 March 10:45 - 11:45 (12 pages, 600 K).
   

   Nonperturbative and perturbative phenomena. Gauge-invariant description of nonperturbative configurations. Wilson loop and area law. Two types of expansions. Examples: heavy quarkonia and light mesons.

   Seminar by : Yu.S.Kalashnikova 1 March 16:15 - 17:15 (11 pages, 354 K).

5. Prof. Yu.A.Simonov, 2 March 10:45 - 11:45.
   part 1 (8 pages, 486 K);   part 2 (5 pages, 728 K).
   

   Background perturbation theory. Evolution and freezing of coupling constant in QCD. e⁺e^- annihilation. Nonperturbative treatment of renormalons. OPE and nonperturbative effects.

   Seminar by : Yu.S.Kalashnikova, 2 March 16:15 - 17:15 (14 pages, 378 K).

6. Prof. Yu.A.Simonov, 3 March 10:45 - 11:45.
   part 1 (12 pages, 451 K);   part 2 (10 pages, 642 K).
   

   Confinement and field correlators. Casimir scaling. Discussion of lattice data and origin of confinement. Perturbative contributions and renormalization of field correlators. Equations for field correlators.

   Seminar by : B.O.Kerbikov, 3 March 16:15 - 17:15 (11 pages, 341 K).

7. Prof. Yu.A.Simonov, 4 March 10:45 - 11:45 (8 pages, 325 K).
   

   Effective quark Lagrangian from QCD. Equations for Greens function of quarks and chiral symmetry breaking. Comparison to NJL. Effective fermion Lagrangians in the standard model.

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