General information 
Course unit name: Gauge Theory: the Standard Model
Course unit code: 568436
Academic year: 20192020
Coordinator: Domenec Espriu Climent
Department: Department of Quantum Physics and Astrophysics
Credits: 6
Single program: S
Estimated learning time 
Total number of hours 150 
Facetoface and/or online activities 
60 
 Lecture 
Facetoface 
40 

 Lecture with practical component 
Facetoface 
20 
Supervised project 
45 
Independent learning 
45 
Competences to be gained during study 
Acquire a capacity for analysis, comprehension and abstract thought.

Learning objectives 
Referring to knowledge Begin to develop an understanding of the technicalities and common characteristics of gauge theories, such as quantum electrodynamics (QED), quantum chromodynamics (QCD) and electroweak theory.

Teaching blocks 
Introduction
* Euclidean and Minkowski conventions
Summary of path integral methods
Effective action and functional methods
The phenomenon of spontaneous symmetry breaking
Classical abelian and nonabelian invariance
Classical solutions in gauge theories
* The 2d O(3) sigma model
The ’t HooftPolyakov monopole
Instantons in QCD
Zero modes and chiral symmetry breaking
Introduction to QCD
* Why QCD
Classical QCD lagrangian
Global symmetries in QCD and their realisation
The U(1)_A anomaly
The theta vacuum
Anomaly cancellation
Quantisation of gauge theories
* Covariant quantisation: FaddeevPopov formalism in QED and QCD
Ghosts in YangMills and their interpretation
Feynman rules
BRST symmetry
Ward and SlavnovTaylor identities
Spontaneous symmetry breaking and renormalisability
R_\xi gauges and modified SlavnovTaylor identities
Radiative corrections in gauge theories
* Divergent structure of gauge theories
Renormalisation and counterterms in QCD
The meaning of the renormalisation procedure
Calculation of the beta function in QCD
The renormalisation group and fixed points
The R parameter and renormalisation ambiguities
Decoupling of heavy quarks
The limits of perturbation theory
* Confinement
Infrared divergences: inclusive and exclusive processes
The operator product expansion
Power corrections to R
Gauge structure of the electroweak theory
* Summary of known results
Gauges and gauge fixing; Physical states
Mass generation and spontaneous symmetry breaking
Fermion masses
The CKM matrix
Semileptonic decays
The electroweak theory beyond tree level
* FCNC and the GIM mechanism
CP symmetry and CP violation in kaons and other neutral systems
The GilmanWise effective lagrangian
Radiative corrections in electroweak theory
* Effective couplings
The onshell scheme
Precision observables
Teaching methods and general organization 
Lecturers explain the different teaching blocks during facetoface sessions.

Official assessment of learning outcomes 
Independent study: questions, activities, attitude in class, formality and quality of submitted exercises: 10%
Examinationbased assessment Written final exam: 100%

Reading and study resources 
Consulteu la disponibilitat a CERCABIB
Book
Ramond, Pierre. Field theory : a modern primer. San Francisco : Benjamin/Cummings, 1981