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Introduction to loop quantum gravity (LQG)

Oggetto:

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

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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Last update: 13/02/2024 14:03
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