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Introduction to Quantum Field Theory

Introduction to Quantum Field TheoryJohn CardyMichaelmas Term 2010 Version 13/9/10 AbstractThese notes are intended to supplement the lecture course Introduction to Quan-tum Field Theory and are not intended for wider distribution. Any errors or obviousomissions should be communicated to me A brief History of Quantum Field Theory22 The Feynman path integral in particle Quantum mechanics Imaginary time path integrals and statistical mechanics ..73 Path integrals in Field Field Theory action functionals .. The generating functional .. The propagator in free Field Theory .. 144 Interacting Field Feynman diagrams.

These notes are intendedtosupplementthe lecturecourse ‘Introduction toQuan-tum Field Theory’ and are not intended for wider distribution. Any errors or obvious omissions should be communicated to me at j.cardy1@physics.ox.ac.uk. Contents 1 A Brief History of Quantum Field Theory 2 2 The Feynman path integral in particle quantum mechanics 4

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