Course Syllabus

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Discussione del problema della quantizzazione della gravità.

1. Problemi legati alla quantizzazione della gravità.

2. Termodinamica del buco nero e il paradosso dell'informazione

3. Introduzione alla corrispondenza AdS/CFT.

Gravità Quantistica Semiclassica

- Non rinormalizzabilita' della gravità.

- Problema della costante cosmologica.

- Buchi neri. Radiazione di Hawking, termodinamica dei buchi neri, il paradosso dell'informazione.

Introduzione alla corrispondenza AdS/CFT

- Introduzione alla CFT.

- Spazio Anti de Sitter e sue caratteristiche geometriche.

- Introduzione alla corrispondenza AdS/CFT.

- Discussione delle prime prove cruciali della corrispondenza.

I corsi di Relatività generale e Fisica teorica I e II.

Lezioni e esercitazioni frontali

-- Lezioni online su black holes:

T. Hartman, lectures on black holes: http://www.hartmanhep.net/topics2015/

  • Caroll, an introduction to general relativity, chapter 9
  • Review on the cosmological constant problem: https://arxiv.org/abs/1205.3365
  • D. Harlow, Jerusalem lecture notes on quantum information and black holes: https://arxiv.org/abs/1409.1231
  • A. Tomasiello, Lectures on quantum gravity

-- Introduzione alla corrispondenza AdS/CFT:

• MAGOO review: https://arxiv.org/abs/hep-th/9905111
• McGreevy introduction: https://arxiv.org/abs/0909.0518
• Kraus AdS3/CFT2: https://arxiv.org/abs/hep-th/0609074
• Penedones TASI notes: https://arxiv.org/abs/1608.04948
• Zaffaroni Lecture notes: https://virgilio.mib.infn.it/~zaffaron/lezioniLosannafin.pdf

Altro da aggiungere

secondo semestre, quattro ore settimanali

Esame orale basato sulla relazione su un argomento di approfondimento non trattato a lezione (da concordare coi docenti) ed alcune domnde molto generali sul contenuto del corso.
La valutazione finale terrà conto del livello di comprensione dell'argomento di approfondimento e della chiarezza espositiva, nonché della qualità delle risposte a domande generali sugli argomenti trattati nel corso.

Al termine delle lezioni o su appuntamento scrivendo a:

alexandre.belin@unimib.it

ISTRUZIONE DI QUALITÁ
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Introduction to the challenges of quantum gravity.

1. Challenges related to the quantization of gravity.

2. Black hole thermodynamics and the information paradox.

3. Introduction to holography and the AdS/CFT correspondence.

Semi-Classical Quantum Gravity

- Non-renormalizability of gravity.

- The cosmological constant problem.

- Black holes. Hakwing radiation, black hole thermodynamics, the black hole information paradox.

Introduction to the AdS/CFT Correspondence

- Introduction to conformal field theory

- Anti de Sitter space and its geometrical features.

- Introduction to the AdS/CFT correspondence

- Tests of the duality

Courses of General Relativity and Theoretical Physics I and II.

Lectures

-- black holes:

  • T. Hartman, lectures on black holes: http://www.hartmanhep.net/topics2015/
  • Caroll, an introduction to general relativity, chapter 9
  • Review on the cosmological constant problem: https://arxiv.org/abs/1205.3365
  • D. Harlow, Jerusalem lecture notes on quantum information and black holes: https://arxiv.org/abs/1409.1231
  • A. Tomasiello, Lectures on quantum gravity

-- Introduction to the AdS/CFTcorrispondence:

• MAGOO review: https://arxiv.org/abs/hep-th/9905111
• McGreevy introduction: https://arxiv.org/abs/0909.0518
• Kraus AdS3/CFT2: https://arxiv.org/abs/hep-th/0609074
• Penedones TASI notes: https://arxiv.org/abs/1608.04948
• Zaffaroni Lecture notes: https://virgilio.mib.infn.it/~zaffaron/lezioniLosannafin.pdf

More to be added

second semester, four hours per week.

Oral exam bases on the exposition of an argument not discussed during the lessons (to be agreed with the instructors) and some very general questions about the course.
The final evaluation will take into account the level of comprehension of the study topic and the clarity of presentation, as well as the way the student answers general questions concerning the main subjects introduced in the course.

At the end of lectures or by appointment contacting:

alexandre.belin@unimib.it

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Key information

Field of research
FIS/02
ECTS
6
Term
Second semester
Activity type
Mandatory to be chosen
Course Length (Hours)
42
Degree Course Type
2-year Master Degreee
Language
English

Staff

    Teacher

  • AB
    Alexandre Mathieu Frederic Belin

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Bibliography

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Enrolment methods

Manual enrolments
Self enrolment (Student)

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