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Introduction to loop quantum gravity (LQG)
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Introduction to loop quantum gravity (LQG)
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Academic year 2023/2024
- Teacher
- Lorenzo Fatibene
- Teaching period
- Jan-Mar
- Type
- Basic
- Credits/Recognition
- 6
- Course disciplinary sector (SSD)
- MAT/07 - mathematical physics
- Delivery
- Formal authority
- Language
- English
- Attendance
- Obligatory
- Type of examination
- Oral
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Sommario del corso
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Program
We consider mathematical structures used in loop quantum gravity (LQG), starting from classical GR to the introduction of spin network Hilbert space and operators on it to represent geometric quantities.
From a physical viewpoint, LQG is a proposal for a generally covariant QFT.
From the mathematical viewpoint one sees in action classical field theories, bundle theory, holonomies of connections on manifolds, analysis on (bare) manifolds, group representation theory - for SU(2)-, Clifford algebras, topological obstructions, and, finally, operators on Hilbert spaces. All in action to solve a specific problem.Hours: 30
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Course delivery
January - February 2024
16 gen 2024 15-18
18 gen 2024 15-18
23 gen 2024 15-18
25 gen 2024 15-18
30 gen 2024 15-18
01 feb 2024 15-18
08 feb 2024 15-18
15 feb 15-18
20 feb 15-18
29 feb 15-18
05 mar 14:30-15:30
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Learning assessment methods
Seminar on a topic agreed with the teacher
or
laboratory to discuss some further problems.
The lab will start in March one meeting every other week.
Suggested readings and bibliography
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Notes from the teacher
Rovelli, Quantum Gravity
Rovelli, Vidotto, Introduction to covariant Loop Quantum Gravity
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Notes
Contact the teacher lorenzo.fatibene@unito.it to declare an interest or to enroll by mid-December.
We shall plan together lectures in January/February.
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