Introduction to Field Theory (1/5)

by R. KLEISS (University of Nijmegen, NL)

Monday 23 Oct 2000, 10:00 → 10:15 Europe/Zurich

500/1-001 - Main Auditorium (CERN)

Starting from the notion of path integrals as developed by Feynman, we discuss field theory in zero space-time dimensions. The concepts of perturbation expansions, connected amplitudes, Feynman diagrams, classical solutions, renormalization and the effective action are developed. The model is extended to four space-time dimensions, and the full Feynman rules for relativistic scalar theory derived. The S matrix and the concept of unitarity are discussed, leading to the amputation rules for S matrix elements from considerations of unitarity. The rules are extended to include particles with spin-1/2 and spin-1. The high-energy behaviour of the theory is discussed as a method to derive the gauge symmetry of the various models.

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