
Course unit
ADVANCED TOPICS IN THE THEORY OF THE FUNDAMENTAL INTERACTIONS
SCP7081741, A.A. 2018/19
Information concerning the students who enrolled in A.Y. 2017/18
ECTS: details
Type 
ScientificDisciplinary Sector 
Credits allocated 
Educational activities in elective or integrative disciplines 
FIS/02 
Theoretical Physics, Mathematical Models and Methods 
6.0 
Course unit organization
Period 
First semester 
Year 
2nd Year 
Teaching method 
frontal 
Type of hours 
Credits 
Teaching hours 
Hours of Individual study 
Shifts 
Lecture 
6.0 
48 
102.0 
No turn 
Start of activities 
01/10/2018 
End of activities 
18/01/2019 
Examination board
Board 
From 
To 
Members of the board 
1 ADVANCED TOPICS IN THE THEORY OF THE FUNDAMENTAL INTERACTIONS 
01/10/2018 
30/11/2019 
CASSANI
DAVIDE
(Presidente)
BELLAZZINI
BRANDO
(Membro Effettivo)
GIUSTO
STEFANO
(Membro Effettivo)
RIGOLIN
STEFANO
(Supplente)

Prerequisites:

A basic knowledge of theoretical physics of the fundamental interactions, in particular of
quantum field theory. 
Target skills and knowledge:

The first part of the course presents the methods and ideas of effective field theory, one of the most powerful organising principle in fundamental physics. We will proceed through explicit examples of the main ideas, focusing on those that are both pedagogical and relevant in physical systems that have been observed, or that are looked for, experimentally. The second part of the course provides a basic introduction to supersymmetry. It also aims at showing how the powerful tools of supersymmetry allow to determine completely the lowenergy effective action of certain nonAbelian gauge theories. 
Examination methods:

Discussion of selected topics from the program of the course, including resolution of problems. 
Assessment criteria:

Knowledge and understanding of the topics explained during the lectures and ability to solve related elementary problems. 
Course unit contents:

FIRST PART (Brando Bellazzini)
 Effective Field Theories and power counting
 Wilsonian approach to the Renormalization Group flow
 Chiral lagrangian in QCD
 CallanColemanWessZumino formalism
 Ward identities, soft theorems and symmetries
 time permitting: composite Higgs, EulerHeisenberg Lagrangians, axions, nogo theorems.
SECOND PART (Davide Cassani)
 Motivations for supersymmetry
 Supersymmetry algebra and its representations
 Superspace and Superfields
 Supersymmetric Lagrangians
 Spontaneous breaking of supersymmetry
 Holomorphicity and nonrenormalization theorems
 Theories with extended supersymmetry
 Supersymmetric lowenergy effective actions and SeibergWitten solution 
Planned learning activities and teaching methods:

Blackboard lessons, discussion of examples, homework assignments. 
Additional notes about suggested reading:

A list of online lecture notes will be provided during the course. 
Textbooks (and optional supplementary readings) 

Steven Weinberg, The Quantum Theory of Fields, Vol. I, II, III.. : Cambridge University Press, 2005.

Tom Banks, Modern Quantum Field Theory: A Concise Introduction. : Cambridge University Press, 2008.

Matthew Schwartz, Quantum Field Theory and the Standard Model. : Cambridge University Press, 2013.

Julius Wess, Jonathan Bagger, Supersymmetry and Supergravity. : Princeton University Press, 1992.


