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degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Science
PHYSICS
Course unit
ADVANCED TOPICS IN THE THEORY OF THE FUNDAMENTAL INTERACTIONS
SCP7081741, A.A. 2019/20

Information concerning the students who enrolled in A.Y. 2018/19

Information on the course unit
Degree course Second cycle degree in
PHYSICS
SC2382, Degree course structure A.Y. 2017/18, A.Y. 2019/20
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Degree course track PHYSICS OF THE FUNDAMENTAL INTERACTIONS [001PD]
Number of ECTS credits allocated 6.0
Type of assessment Mark
Course unit English denomination ADVANCED TOPICS IN THE THEORY OF THE FUNDAMENTAL INTERACTIONS
Website of the academic structure http://physics.scienze.unipd.it/2019/laurea_magistrale
Department of reference Department of Physics and Astronomy
Mandatory attendance No
Language of instruction English
Branch PADOVA
Single Course unit The Course unit can be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit

Lecturers
Teacher in charge FERRUCCIO FERUGLIO FIS/02

ECTS: details
Type Scientific-Disciplinary 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

Calendar
Start of activities 30/09/2019
End of activities 18/01/2020
Show course schedule 2019/20 Reg.2017 course timetable

Examination board
Board From To Members of the board
2 ADVANCED TOPICS IN THE THEORY OF THE FUNDAMENTAL INTERACTIONS 01/10/2019 30/11/2020 FERUGLIO FERRUCCIO (Presidente)
GIUSTO STEFANO (Membro Effettivo)
RIGOLIN STEFANO (Supplente)
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)

Syllabus
Prerequisites: A basic knowledge of theoretical physics of the fundamental interactions, in particular of
quantum field theory.
Target skills and knowledge: The course is focused on effective field theories (EFT), a general tool to describe
physical systems in the framework of a quantum field theory. 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.
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: Part 1: INTRODUCTION AND EXAMPLES
- INTRODUCTION:
Characterization of a physical system:
degrees of freedom, relevant scale(s), symmetries.
- EXAMPLES OF EFT:
the Fermi theory of weak interactions;
derivation from the full electroweak theory.
beyond the tree-level: Euler-Heisenberg Lagrangian;
symmetry considerations and derivation from QED.
- THE SM AS AN EFT:
recap of SM non-anomalous global symmetries;
dimension 5 operators, violation of (B-L) and neutrino masses;
possible microscopic origin (seesaw mechanism).
dimension 6 operators, violation of B and proton decay;
possible microscopic origin (GUTs);
dimension 6 operators and flavour physics.
- EFT IN NON-PERTURBATIVE REGIME:
the chiral Lagrangian; chiral symmetry breaking in QCD;
EFT for light pseudoscalar mesons; breaking effects;
anomaly of iso-axial current and neutral pion decay.
- OTHER EXAMPLES

Part 2: FORMAL ASPECTS
- EFT AND POWER COUNTING.
- INTEGRATING OUT HEAVY MODES:
RGE flow and matching conditions;
revisitation of the Euler-Heisenberg Lagrangian;
other examples.
- APPELQUIST-CARAZZONE DECOUPLING THEOREM.
- EQUIVALENT EFFECTIVE LAGRANGIANS;
independence of S-matrix elements on local field redefinitions.
- OPERATOR MIXING;
anomalous dimensions; examples;
- EFT DESCRIBING A BROKEN PHASE:
CCWZ construction; revisitation of the chiral Lagrangian;
other examples.
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)

Innovative teaching methods: Teaching and learning strategies
  • Lecturing
  • Problem based learning
  • Questioning
  • Problem solving
  • Loading of files and pages (web pages, Moodle, ...)