08.128.165 QFT 1: Relativistic Quantum Field Theory

SoSe 2024

Lecturer: Felix Yu [yu001]

Course assistants: Prisco Lo Chiatto [plochiat], Martin Mojahed [mojahedm]

Email addresses are [username] at uni-mainz.de

  • Lectures are held from 10-12 pm (c.t.) on Mondays and Wednesdays in Minkowski room, Staudinger Weg 7, 05-119
  • Discussion sessions are held from 2-4 pm (c.t.) on Thursdays in Seminar room F
  • Homeworks are due at the beginning of each Monday discussion.
  • Written exam will be written on July 30, 2024 from 9-12 pm (s.t.).
  • Students must accumulate 50% of homework credits to be eligible for the exam. Homework credits are given by completing each homework assignment, and each homework assignment is weighted equally.
  • Syllabus
  • Formula sheet for exam
  • Peskin appendix handout for exam
  • Homework 1
  • Homework 2
  • Homework 3
  • Homework 4
  • Homework Bonus - Majorana Fermions
  • Homework 5
  • Homework 6
  • Homework 7
  • Homework 8
  • Homework 9
  • Homework 10
  • Homework 11
  • Lecture 1 - Introduction and Motivation, S Matrix
  • Lecture 1, QM Primer
  • Lecture 2 - S Matrix Amplitudes, Poincare Symmetry
  • Lecture 3 - Real Scalar Fields, Equal-Time Commutation Relations, Klein-Gordon Equation
  • Lecture 4 - Noether's Theorem, Free Scalar Field Dynamics
  • Lecture 4, Multiparticles, Hilbert vs Fock Space
  • Lecture 5 - Complex Scalar Fields, Scalar Propagator
  • Lecture 6 - Fermion Fields, Helicity, Weyl Spinors
  • Lecture 7 - Dirac Matrices, Spin Space, Dirac Spinors, Dirac Equation
  • Lecture 8 - Free Fermion Solutions, Fermion Bilinears, Chirality
  • Lecture 9 - Quantization of Dirac Spinors, Anticommutation, Spin-statistics Theorem
  • Lecture 10 - Dirac Propagator, Free Fermion Theory
  • Lecture 11 - Discrete Symmetries of Lorentz, CPT Theorem
  • Lecture 12 - Interacting QFTs, Rules for Writing Lagrangians, Notion of Renormalizability
  • Lecture 13 - Interaction Picture, Time-Ordered Products
  • Lecture 14 - Correlation Functions, Wick's Theorem, Feynman Diagrams
  • Lecture 15 - Feynman Diagrams, Position Space, Momentum Space, Vacuum Bubbles
  • Lecture 16 - Cross Sections and S-matrix, Matrix Elements, Decay Widths
  • Lecture 17 - Cross Sections, Decay Widths, Kinematics
  • Lecture 18 - Lehmann-Symanzik-Zimmerman Reduction, Diagram Amputation
  • Lecture 19 - Feynman Rules for Fermions, Yukawa Theory
  • Lecture 20 - Introduction to Quantum Electrodynamics, Tree-level ee to mumu Matrix Element
  • Lecture 21 - Tree-level ee to mumu Cross Section, Trace Technology, Spin Sums
  • Lecture 22 - ee to qq, R-ratio, Crossing Symmetry, Compton Scattering
  • Lecture 23 - Continue Compton Scattering
  • Lecture 24 - Finish Compton Scattering, Klein-Nishina Formula, Begin One-Loop QED
  • Lecture 25 - One-Loop Correction to Electron Vertex
  • Lecture 26 - Finish One-Loop Electron Vertex Calculation, Dimensional Regularization
  • Lecture 26, Supplement - Vacuum Polarization and Wavefunction Renormalization Calculations
  • Lecture 27 - Renormalized Perturbation Theory
  • Lecture 27, Supplement - Renormalized QED