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Underground seminar

on open problems in foundations of modern physical theories

thursdays, 2:30-4:30 p.m., Department of Physics, University of Warsaw, Warszawa, Hoża 69, room N21

• Schedule of meetings, together with source texts, will be fixed at the beginning of February

1. (17.02.2011). Sketch of the programme - Ryszard Kostecki
   main text:
   • Ryszard Kostecki, 2011, Esquisse d'un programme (typed text with references will be available later)
    
2. (24.02.2011). Elements of mathematical formalism of Hilbert space quantum mechanics & Algebraic approach to quantum theory I - Ryszard Kostecki
   main texts:
   • Miklos Redei, Stephen Summers, 2007, Quantum probability theory
   • Klaas Landsman, 2009, Algebraic quantum mechanics
   additional texts:
   (take a look on introductions, and your favorite topics of interest)
   • Rudolf Haag, 1996, Local quantum physics (see especially II.3, II.4 and III.1 for fundamental motivation of an algebraic approach exposed in mathematical detail but with particle theory oriented "physical" flavour; alternatively see V.1.1-V.1.3 for motivation comming from quantum equilibrium statistical mechanics)
   • Bert Schroer, 1998, A course on modular localization and nonperturbative local quantum physics (here these topics are treated more extensively and with more applications)
   • Gerard Emch, 1972, Algebraic methods in statistical mechanics and quantum field theory (first and still very good book about algebraic approach)
   • Hans Halvorson, 2006, Algebraic quantum field theory (a detailed review of the mathematics of algebraic approach with the extensive discussion of the algebraic analysis of superselection)
   • Miklos Redei, 1998, Quantum logic in algebraic approach (algebraic perspective on quantum logic issues; also very good book)
    
3. (03.03.2011). Haag's theorem and the failure of particle and field interpretations - Mateusz Iskrzyński
   main texts:
   • John Earman, Doreen Fraser, 2006, Haag's theorem and its implications for the foundations of QFT
   • Doreen Fraser, 2008, The fate of ‘particles’ in quantum field theories with interactions
   • Stephen Summers, 1998, On the Stone-von Neumann uniqueness theorem and its ramifications
   • Frederick Kronz, Tracy Lupher, 2005, Unitarily inequivalent representations in algebraic quantum theory
   additional texts:
   • David Baker, 2008, Against field interpretations of quantum field theory
   • Rob Clifton, Hans Halvorson, 2000, Are Rindler quanta real? Inequivalent particle concepts in quantum field theory
   • Jonathan Bain, 2000, Who is afraid of Haag's theorem?
   • Doreen Fraser, 2009, Quantum field theory - underdetermination, inconsistency, and idealization
   • Tracy Lupher, 2005, Who proved Haag’s theorem?
   • Gerard Emch, 1972, Algebraic methods in statistical mechanics and quantum field theory, pp.247-253
   • Rudolf Haag, 1955, On quantum field theories
    
4. (17.03.2011). Haag theorem, etc. II - Mateusz Iskrzyński
    
5. (24.03.2011). POVM's and the failure of usual notion of observable - Paweł Duch
   main texts:
   • Paul Busch, Pekka Lahti, 2008, Observable
   • D.A. Dubin, M. A. Hennings, P. Lahti, J.-P. Pellonpää, 2002, A dilemma in representing observables in quantum mechanics
   • W. M. de Muynck, W. De Baere, H. Martens, 1994, Interpretations of quantum mechanics, joint measurement of incompatible observables, and counterfactual definiteness
   additional texts:
   • Pekka Lahti, Juha-Pekka Pellonpää, Kari Ylinen, 2005, Two questions on quantum probability
   • E.B. Davies, J.T. Lewis, 1970, An operational approach to quantum probability
   • Teiko Heinosaari, Mario Ziman, 2008, Guide to mathematical concepts of quantum theory
   • Roderich Tumulka, 2007, POVM
   • E.B. Davies, 1976, Quantum theory of open systems
    
6. (31.03.2011). Algebraic approach to quantum theory II - Ryszard Kostecki
   main texts:
   • Ryszard Kostecki, 2011, An introduction to algebraic approach to quantum theory (draft)
   additional texts:
   
   • Rudolf Haag, 1996, Local quantum physics (sections II.5.5 and V.1-3)
    
7. (07.04.2011). Path integrals: review of approaches and problems - Jędrek Świeżewski
   main texts:
   • John Klauder, 2003, The Feynman path integral: an historical slice
   • Pierre Cartier, Cecile DeWitt-Morette, 1995, A new perspective on functional integration
   • Sergio Albeverio, Raphael Høegh-Krohn, Sonia Mazzucchi, 2008, Mathematical theory of Feynman path integrals (chapter 1 and section 10.4)
   additional texts:
   • R.J. Rivers, 1987, Path integral methods in quantum field theory (chapter 6)
   • Hagen Kleinert, 2003, Path integrals in quantum mechanics, statistics, polymer physics, and financial markets
   • M. Chaichian, A. Demichev, 2001, Path integrals in physics (volume 1, volume 2)
    
8. (21.04.2011). Renormalisation: review of approaches - Bogusia Gorczyca
   main texts:
   • Tian Yu Cao, Silvan S. Schweber, 1993, The conceptual foundatons and the philosophical aspects of renormalization theory
   • Bertrand Delamotte, 2003, A hint of renormalization
   additional texts:
   • John C. Collins, 1984, Renormalization - An introduction to renormalization, the renormalization group, and the operator-product expansion
   • Giuseppe Benfatto, Giovanni Gallavotti, 1993, Renormalization group
   • Michael Duetsch, 2010, Connection between the renormalization groups of Stückelberg-Petermann and Wilson
   • Michael Duetsch, Klaus Fredenhagen, 2004, Perturbative renormalisation and BRST
    
9. (05.05.2011). Renormalisation: Epstein--Glaser approach - Paweł Duch
   main texts:
   • Günter Scharf, 1995, Finite quantum electrodynamics - the causal approach
   • Gudrun Pinter, 2000, Epstein-Glaser Renormalization - Finite Renormalizations, the S-Matrix of phi⁴ Theory and the Action Principle
   additional texts:
   • H. Epstein, V. Glaser, 1973, The role of locality in perturbation theory
   • Romeo Brunetti, Klaus Fredenhagen, 1997, Interacting quantum fields in curved space - renormalizability of phi⁴
    
10. (19.05.2011). Renormalisation: Epstein--Glaser approach II - Paweł Duch
11. (24.06.2011). Quantum theory and space-time from quantum information geometry - Ryszard Kostecki

1. (22.07.2008). Differential geometry and smooth analysis in toposes - Ryszard Kostecki
2. (22.07.2008). Germs of algebraic states in Haag-Ojima-Bostelmann approach, part II - Jacek Kopeć
3. (21.07.2008). Germs of algebraic states in Haag-Ojima-Bostelmann approach, part I - Jacek Kopeć
4. (21.07.2008). Quantisation of groupoids a la Landsman, part II - Jan Gutt
5. (20.07.2008). Quantisation of groupoids a la Landsman, part I - Jan Gutt