Introductive exercises to Quantum Field Theory

TL;DR

This paper offers a set of 12 exercises designed to help students learn core calculation methods in Quantum Field Theory, including applications of Noether's theorem and computations of physical quantities.

Contribution

It provides a structured collection of exercises from an advanced course to facilitate learning of key QFT calculation techniques.

Findings

Exercises cover main QFT calculations

Includes applications of Noether's theorem and Ward identities

Aims to improve problem-solving skills in QFT

Abstract

We present a collection of 12 exercises picked from the exam tests of the course "Elements of Quantum Field Theory", teached by professor Mauro Moretti in the academic year 2021-22 for the Master's Degree in Physics at the University of Ferrara. The goal of this review is to provide a general method to approach the main types of calculations in Quantum Field Theory, involving applications of Noether's theorem, checking of Ward identities, computations of cross sections and decay rates.