General information 
Course unit name: Quantum Field Theory
Course unit code: 574642
Academic year: 20212022
Coordinator: Bruno Julia Diaz
Department: Department of Quantum Physics and Astrophysics
Credits: 3
Single program: S
Estimated learning time 
Total number of hours 75 
Facetoface and/or online activities 
26 
 Lecture 
Facetoface and online 
20 

 Lecture with practical component 
Facetoface and online 
6 
Independent learning 
49 
Recommendations 
Students are advised to have completed or be enrolled in the subject Advanced Quantum Mechanics. 
Learning objectives 
Referring to knowledge

Teaching blocks 
1.
Symmetries in mechanics
*
Definition of invariance
Physical consequences of invariance
Invariance in classical mechanics
Invariance in quantum mechanics (Wigner theorem)
Galilean relativity and Galileo group
Einstein relativity and Poincare group
Internal symmetries
Local symmetries
2.
Relativistic wave equations
*
Representations of the Poincare group
Wave equation for spin 0 (KleinGordon equation)
Wave equation for spin ½ (Dirac equation) and its properties
Wave equation for spin 1: the photon
3.
Second Quantization
*
Fock space
Field operators and their transformation properties
Locality and discrete symmetries
CPT theorem
Lagrangian formalism and Noether theorem
Canonical quantization
4. Gauge Theories
*
Quantization of the electromagnetic field
Minimal coupling and examples
Perturbation theory
Ward identities
Topological invariants
Teaching methods and general organization 

Official assessment of learning outcomes 
Examinationbased assessment A final written exam covering the contents of the course. 
Reading and study resources 
Consulteu la disponibilitat a CERCABIB
Book
Landau, L. and Lifschitz, E. Course of Theoretical Physics: Vol. I, III, and IV. AddisonWesley (English ed.)
Weinberg, S. (1995). The quantum theory of fields (Vol. 1). Cambridge university press.