87971 - ADVANCED QUANTUM FIELD THEORY

Academic Year 2019/2020

  • Moduli: Roberto Soldati (Modulo 1) Roberto Balbinot (Modulo 2)
  • Teaching Mode: Traditional lectures (Modulo 1) Traditional lectures (Modulo 2)
  • Campus: Bologna
  • Corso: Second cycle degree programme (LM) in Physics (cod. 9245)

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 (R. Soldati)

Effective action, spontaneous symmetry breaking, Schwinger-Dyson equation,Weinberg theorem, renormalization of self interacting scalar field theory.

Renormalization group, renormalization prescriptions, 1-loop renormalization of QED, Ward identities

Quantization of non abelian gauge theories, Fadeev-Popov method, BRST symmetry , beta function at one-loop.

 

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 : lectures notes by Prof. R. Soldati

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

Teaching tools

Lectures notes for Part I

Office hours

See the website of Roberto Balbinot

See the website of Roberto Soldati