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. Prof. V.A.Rubakov, 25 February 9:30 - 10:30, 14 pages, 700 K.
   

   Simplest topological solitons: kink, vortex (cosmic string). No-go theorems on the existence of solitons. Magnetic monopoles. Dyons. BPS limit.

2. Prof. V.A.Rubakov, 26 February 9:30 - 10:30, 19 pages, 631 K.
   

   Fermions in soliton backgrounds. Charge fractionalization. Angular momentum in the presence of a monopole. Monopole catalysis of proton decay.

3. Prof. V.A.Rubakov, 27 February 9:30 - 10:30, 15 pages, 440 K.
   

   Decay of a metastable state in quantum mechanics: Euclidean classical solutions. False vacuum decay in scalar theory: bounce and critical bubble.

4. Prof. V.A.Rubakov, 1 March 12:00 - 13:00, 15 pages, 483 K.
   

   Instanton in Yang-Mills theory. Classical vacua and theta-vacua. Sphaleron in Yang-Mills-Higgs theory, its relevance at finite temperature.

5. Prof. V.A.Rubakov, 2 March 9:30 - 10:30, part 1 (10 pages, 272 K);   part 2 (10 pages, 357 K).
   

   Anomalous non-conservation of fermion quantum numbers. Level crossing and Euclidean zero fermion modes in instanton background. Selection rules in the Standard Model. Sphalerons and electroweak B and L violation at finite temperature.

6. Prof. P.Tinyakov, 3 March 9:30 - 10:30, part 1 (12 pages, 301 K);   part 2 (12 pages, 321 K);   part 3 (6 pages, 156 K).
   

   Non-topological solitons (Q-balls).

7. Prof. V.A.Rubakov, 4 March 9:30 - 10:30, part 1 (10 pages, 301 K);   part 2 (10 pages, 341 K).
   

   Bounce and instanton in path integral formalism. Instanton contributions into Green's functions of fermions.

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