# THEORY III LABORATORY

## Learning outcomes of the course unit

Main aim of the course is to put the students in a position to strenghten their understanding of the foundations of Quantum Field Theory.

Emphasys will be on acquiring problem solving skills. Students should understand that doing research means being able to approach in a creative way solutions to problems.

## Prerequisites

Students should have attended the course of Teoria Quantistica dei Campi. They will attend the Laboratorio Teorico III course in parallel to those of Teoria Quantistica dei Campi 2 and 3.

## Course contents summary

The first part of the course aims at strenghtening the basic knowledge of the concept of cross section and at addressing simple computations of cross sections in relativistic quantum mechanics.

The second half aims at introducing the main computational tools in Quantum Field Theory.

Main subjects are the following:

Cross sections in relativistic quantum mechanics.

Computational techniques for Feynman graphs.

Introduction to basics of symbolic computing and applications to Feynman diagrammatics.

One loop renormalization at work: selected topics in Quantum Electrodynamics, to be defined in connection with the advances in the courses of Teoria Quantistica dei Campi 2 and 3. Some attention is devoted to the IR structure of QED renormalization.

A brief introduction to the Lattice approach to renormalization in quantum field theory.

## Recommended readings

Main references will be the books the students make use of in the courses of Teoria Quantistica dei Campi 2 and 3 (M.Peskin and D.V.Schroeder, M. Kaku, A.Zee, C.Itzykson and J.B.Zuber).

Students are advised to have a look at the introductory chapter to QED from the book by Passarino & Bardin ('The Standard Model in the making', Clarendon Press, Oxford).

## Teaching methods

Style will be mostly informal, mainly oriented to acquiring problem solving skills.

Attention will be paid to the usage of computer aided computing techniques (both numerical and symbolic computations).

Students will be required to provide solutions to problems which will be assigned as agreed with the lecturer on the basis of the subjects covered in the lectures. The final examination will consist in the discussion of these solutions. Problems will typically cover both numerical and symbolic computation techniques and analytical computations of Feynman graphs.