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
Office hours
See the website of Roberto Soldati
See the website of Roberto Balbinot