Description
Objectives
Learning the tools for doing calculations in Quantum Field Theory. In the end, the student should know, for a given process, how to draw the relevant Feynman diagrams and to evaluate the corresponding cross sections (in lowest order).
Syllabus
I. Relativistic Quantum Mechanics. Equations of Klein Gordon and Dirac. Covariance of Dirac equation. Discrete symmetries. Free particle solutions. Electromagnetic coupling and non relativistic limit. Negative energy solutions and antiparticles. Spin 1/2 massless particles. Theorems on traces of Dirac matrices. II. Feynman Rules for QED and scalar QED. Interaction picture. Dyson expansion for the S-matrix. Wick's Theorem. III Simple examples in QED. Cross section for Compton scattering of electrons and positrons. Electron-positron annihilation in QED. Bremsstrahlung. Compton scattering. IV. Other simple examples. Z0 decay width into fermions. Electron-positron annihilation in the Standard Model. Muon decay.
Prerequisites
Analitical Mechanics, Classical Electrodynamics, Quantum Mechanics I and II, Particle Physics
Cross Competence Component
80% - Critical and innovative thought (problem solving strategies, strategic and critical thought, creativity). 20% among intrapersonnal Competence, interpersonnal Competence and Information Literacy.
Programming And Computing Component
0.25 ECTS of FeynCalc, Qgraf, and/or other software of use in calculations.
Ethical Principles
All members of a group are responsible for the group’s work In any assessment, every student shall honestly disclose any help received and sources used. In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.