Field Theory II
Requirements:
Lagrangian formalism in classical theory of fields, Noether theorem, quantum mechanics, classical electrodynamics, elements of theory of generalized functions.
Description:
Introduction to modern quantum theory of fields with emphasis on fundamental structures.
Details:
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.
Bibliography:
- S. Weinberg, "The Quantum Theory of Fields", vol. I,II, Cambridge University Press, 1995
- L. H. Ryder, "Quantum Field Theory", Cambridge University Press, 1996
- N. N. Bogoljubov, D. W. Shirkov, "Introduction to the Theory of Quantized Fields", Interscience, 1959