About the course - General

    Topic outline

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  • Syllabus

    • Classical and Quantum fields. Canonical quantization of Klein-Gordon field, KG propagator, Interacting fields and Feynman diagrams.
    • Functional methods, Path Integral in quantum mechanics, Generating functional, Functional quantization of fields.
    • Renormalization, Perturbation theory for scalar (φ 4 ) theory, Divergent Feynman diagrams, Dimensional regularization, Renormalization schemes.
    • Renormalization Group equations, Wilsonian RG, Callan Symanzik equations, Running of coupling constants.
    • Quantization of fermions, Path integral with fermions, Quantum Electrodynamics, Vacuum polarization.

    Literature

    Prime book M.E. Peskin and D.V. Schroeder, "An Introduction to Quantum Field Theory" 

    Additional books:

    S. Weinberg, "The Quantum Theory of Fields " 

    M. Srednicki, “Quantum Field Theorry”, 

    Old classics: 

    P. Ramond, "Field Theory: Modern Primer" 

    C. Itzykson and J-P. Zuber, "Quantum Field Theory" 

    L. Zinn-Justin, "Quantum Field Theory and Critical Phenomena” 

    J.J. Bjorken and S.D. Drell, “Relativistic Quantum Fields” 

    N.N. Bogoliubov and D.V. Shirkov, “Quantum Fields” 

    S. Coleman, “Aspects of symmetry”

    • A set of home assignments will be given approximately every 2-3 weeks. Total weight of these assignments to the final grade will be 50%. At the end of the course a more lengthy home project will be given, which will constitute the remaining 50%.


      • Lecture/Tutorial

        Group What? Name Day Hours Building/Room
        1 Lecture Michael LublinskyWed11-1434/9