87971 - Advanced Quantum Field Theory

Learning outcomes

At the end of this course the student will learn advanced tools of relativistic quantum field theory and general relativity, with applications to: the gauge theories of the electro-weak and strong interactions; quantum field theory in curved space-times and Hawking radiation in black holes.

Course contents

Part I : Advanced Quantum Field Theory (F. Bastianelli)

Quantization of non-abelian gauge theories

Faddeev-Popov method and BRST symmetry.

Beta function at one-loop

Background field method

Chiral gauge theories and anomalies

 

Part II : Quantum Field in Curved Space and Black Holes (R. Balbinot)

Quantization in curved space time

Bogoliubov transformation

Quantum fields in Schwarzshild space time

Hawking effect

Vacuum states in Schwarzshild space time

Unruh effect

Readings/Bibliography

Part I :

M.A. Srednicki, "Quantum Field Theory" (CUP, 2007)

Part II :

N.D. Birrel and P.C.W. Davies : Quantum Fields in Curved Space ( Cambridge University Press)

A. Fabbri and J. Navarro Salas : Modeling Black Hole Evaporation ( Imperial College Press )

Teaching methods

Lectures

Assessment methods

Oral examination

Elementary knowledge of the program 18/30 - 23/30

Basic knowledge 24-26

Good knowledge 27-30

 

Students with Specific Learning Disabilities (SLD) or temporary/permanent disabilities are advised to contact the University Office responsible in a timely manner (https://site.unibo.it/studenti-con-disabilita-e-dsa/en ). The office will be responsible for proposing any necessary accommodations to the students concerned. These accommodations must be submitted to the instructor for approval at least 15 days in advance, and will be evaluated in light of the learning objectives of the course

Office hours

See the website of Roberto Balbinot

See the website of Fiorenzo Bastianelli