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LACES 2022 Lezioni Avanzate di Campi E Stringhe Galileo Galilei Institute for Theoretical Physics, Arcetri Italy


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Methods and Techniques in NonPerturbative QFT Di Pietro Lorenzo  Università di Trieste 

Syllabus
 Introduction: field theories in d<4, large N;  O(N) model: massive phases and CFT in d=3, absence of symmetry breaking in d=2;  GrossNeveu model: massive phases and CFT in d=3, symmetry breaking in d=2;  QCD with fundamental matter in d=2: 't Hooft solution;  QCD with adjoint matter in d=2: recent developments. References Papers: S. R. Coleman, R. Jackiw, and H. D. Politzer, Spontaneous Symmetry Breaking in the O(N) Model for Large N, Phys. Rev. D10 (1974) 2491. D. J. Gross and A. Neveu, Dynamical Symmetry Breaking in Asymptotically Free Field Theories, Phys. Rev. D10 (1974) 3235. G. 't Hooft, "A TwoDimensional Model for Mesons," Nucl. Phys. B 75 (1974) 461470. Z. Komargodski, K. Ohmori, K. Roumpedakis, and S. Seifnashri, "Symmetries and strings of adjoint QCD2," JHEP 03 (2021) 103, 2008.07567. R. Dempsey, I. R. Klebanov, and S. S. Pufu, "Exact Symmetries and Threshold States in TwoDimensional Models for QCD," JHEP 10 (2021) 096, 2101.05432.  Reviews: M. Moshe and J. ZinnJustin, Quantum field theory in the large N limit: A Review, Phys. Rept. 385 (2003) 69228, [hepth/0306133]. B. Rosenstein, B. Warr, and S. H. Park, Dynamical symmetry breaking in four Fermi interaction models, Phys. Rept. 205 (1991) 59108. Chapter 8 from: S. Coleman, Aspects of Symmetry: Selected Erice Lectures. Cambridge University Press, Cambridge, U.K., 1985. Chapter 6 and 9 from: M. Mariño, Instantons and Large N: An Introduction to NonPerturbative Methods in Quantum Field Theory. Cambridge University Press, 9, 2015.  
Organisers: Alice Bernamonti Agnese Bissi Davide Cassani Carlo Maccaferri Noppadol Mekareeya 
Secretary: Annalisa Anichini Alessandra Gentili Mauro Morandini Housing: Mirella Ridi Computer assistance: Alessio Attardi 
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