16824 - Complements of Theoretical Physics

Academic Year 2017/2018

  • Docente: Roberto Soldati
  • Credits: 6
  • SSD: FIS/02
  • Language: Italian
  • 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. 8025)

Learning outcomes

At the end of this course, the student will possess the main knowledges concerning some advanced tools of the relativistic quantum field theory.

Course contents

First Part: Advanced Quantum Field Theory (R. Soldati)
Effective Action: classical field, proper vertices, spontaneous symmetry breaking, Schwinger-Dyson equations, euclidean effective Action. Superficial degree of divergence and power counting. Weinberg's theorem. Renormalizability criterion. Counter-terms and renormalization for the self-interacting scalar field theory.
The renormalization group: renormalization prescriptions, 1-loop renormalization of QED, Ward's identities, euclidean proper vertices, asymptotic behaviour of the renormalized proper vertices. Quantization of the non-Abelian gauge theories: the Faddeev-Popov generating functional, the Becchi-Rourt-Stora and Tyutin symmetry, the Feynman rules for QCD, 1-loop calculation of the beta-function in QCD. Standard Model.
Second Part: Field Theory In Curved Spaces And Black Holes (R. Balbinot)
Free fields quantization in the Minkowski space-time ed its extension to curved spaces: Bogolyubov transformations and non-uniqueness of the vacuum state. Quantum fields in the Schwarzschild space-time. Hawking effect, black holes evaporation. Vacuum states in the Schwarzschild. space-time: Boulware, Unruh, Israel-Hartle-Hawking and their physical properties.

Readings/Bibliography

I Part: 

see the up-to-dated bibliography included in the lecture notes available on-line.

II Part:

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

Front teaching.

Assessment methods

Oral exam.

Teaching tools

First Part: lecture notes freely available on-line and continuously extended and up-to-dated.

Links to further information

http://www.robertosoldati.com

Office hours

See the website of Roberto Soldati

See the website of Roberto Balbinot