Field Theory II


Lagrangian formalism in classical theory of fields, Noether theorem, quantum mechanics, classical electrodynamics, elements of theory of generalized functions.


Introduction to modern quantum theory of fields with emphasis on fundamental structures.


Free quantum fields; difficulties in quantum theory of interacting fields; generating functionals for Green's functions; Feynman diagrams; BPHZ approach to renormalization; multiplicative renormalization; renormalization group; Gell-Mann -Low and Callan - Symanzik equations; beta function and asymptotic behavior of Green's functions; relativistic invariance and unitary representations of Poincare group; spectral decompositions for 2-point functions; paths integrals in quantum theory of fields; Faddeev - Popov ghosts and Feynman diagrams for nonabelian gauge fields.


  1. S. Weinberg, "The Quantum Theory of Fields", vol. I,II, Cambridge University Press, 1995
  2. L. H. Ryder, "Quantum Field Theory", Cambridge University Press, 1996
  3. N. N. Bogoljubov, D. W. Shirkov, "Introduction to the Theory of Quantized Fields", Interscience, 1959

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