CODE  61876 

ACADEMIC YEAR  2019/2020 
CREDITS  6 credits during the 1st year of 9012 PHYSICS (LM17) GENOVA 
SCIENTIFIC DISCIPLINARY SECTOR  FIS/02 
LANGUAGE  Italian 
TEACHING LOCATION  GENOVA (PHYSICS) 
SEMESTER  2° Semester 
PREREQUISITES 
Prerequisites
You can take the exam for this unit if you passed the following exam(s):

TEACHING MATERIALS  AULAWEB 
The course will explain in which way Quantum Field Theory (QFT) provides a coherent conceptual framework which integrates quantum mechanics and special relativity. The course will analyze the physical principles at the basis of QFT, will describe some of his most important physical predictions such as the existence of antiparticles and the spinstatistics theorem, and will explain invariant perturbation theory and Feynman diagrams.
An introduction to quantum field theory and to the methods which are needed to describe interacting quantum field theories.
The course will discuss some fundamental applications of QFT, such as the existence of antiparticles and the spinstatistics theorem. The course will introduce the mathematical methods of group and Lie algebra representation theory and discuss some of its applications to relativistic physics. Discrete symmetries in QFT (P, C and T) will be also discussed. The quantization of gauge theories will be discussed in the framework of the BRS symmetry. Feynman diagrams techniques for the computation of physical quantities associated to relativistic scattering and decay will be presented. The student should be able at the end of the course to grasp the physical principles which underlie the standard model of fundamental interactions, and master the computational methods which are required to describe the simplest relativistic processes.
Traditional lectures and problem solving sessions in class.
1. Symmetries in quantum mechanics. Elements of representation theory. Unitary and irreducible representations. Complex conjugate representations. The finite dimensional representations of the Lorentz algebra. The method of induced representation. Unitary and irreducible representations of non homogenous Lorentz group. Particle representations.
2. Relativistic equations. KleinGordon, Proca, di Weyl e di Dirac equa tions. Noether theorem. Relativistic second quantization. Particles and antiparticles.
3. Causal relativistic fields. Spinstatistics theorem. 4. The discrete P, C and T symmetries.
5. The scattering matrix. In and out states. Invariant perturbation theory. Tproducts. Feynman rules. Propagators. Density matrices.
6. Electromagnetic field. Gauge invariance and relativistic invariance. Quantization of electrodynamics and BRS symmetry.
7. Introduction to renormalization.
 L. D. Landau, E. M. Lifsits, Meccanica Quantistica, Teoria Relativistica, Editori Riuniti Edizioni Mir, Roma (1976);
 S. Weinberg, The Quantum Theory of Fields, Vol 1, Cambridge University Press, Cambridge, (1996);
 M. Srednicki Quantum Field Theory, Cambridge University Press Cambridge, (2007);
 Lectures notes and a collection of exercises and problems with solutions will be available online.
Office hours: By appointment.
CAMILLO IMBIMBO (President)
ANDREA AMORETTI
CARLA BIGGIO
NICOLA MAGGIORE
NICODEMO MAGNOLI
Traditional lectures and problem solving sessions in class.
All class schedules are posted on the EasyAcademy portal.
The exam is divided into two parts, written and oral.
The written test consists of several questions or problems regarding topics covered during the course: to each question, a score is assigned and explicitly specified on the exam sheet. The sum of the scores of all the questions is 33/30. To have access to the oral exam a minimum total score of 18/30 is required.
The details of the exam modalities are illustrated to the students in class at the beginning of the course.
The questions of the written exams are of variable difficulty, in order to achieve an accurate evaluation of the competence achieved by the student.
The oral exam is lead by the professor responsible for the course and by another expert, who is usually a professor of the department of physics. The length of the oral exam varies from 30 to 50 minutes. The oral exam is divided into two parts: the first part is a discussion of the written test, in particular of the questions or the points which have not been correctly or completely answered by the student. The second part consists of a question on a topic which is different from the ones of the written test. The student is asked to present a topic covered in the course and lecture about it on the blackboard in his own personal way, in order to evaluate his abilities of synthesis and of personal elaboration. The score of the oral exam, maximum 6/30, is added to the score obtained in the written test to obtain the final score.