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Introduction to classical and quantum systems with gauge symmetries and costraints
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Introduction to classical and quantum systems with gauge symmetries and costraints
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Academic year 2024/2025
- Teacher
- Igor Pesando
- Degree course
- PhD in Physics
- Year
- 1st year, 2nd year, 3rd year
- Teaching period
- First semester
- Type
- Basic
- Course disciplinary sector (SSD)
- FIS/02 - theoretical physics, mathematical models and methods
- Delivery
- Traditional
- Language
- English
- Attendance
- Obligatory
- Type of examination
- Written
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Sommario del corso
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Course objectives
The aim of the course is to give an introduction to the Lagangian and Hamiltonian treatment of theories with gauge symmetries seen as constrained systems which are pervasive in modern physics.
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Results of learning outcomes
The students should be able to treat a generic constrained (gauge) system and quantize it using either Dirac approach or BRST formalism.
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Program
Using a very simple example we discuss the classical aspects of contrained systems at Lagrangian and Hamiltonian level.
In particular at Hamiltonian level we discuss Dirac theory of constrained systems and the interpretation of fisrt class constraints as gauge generators.
We then apply these results to the usual gauge theories.
We then consider the quantum version and the BRST formalism. We introduce also the concept of Gribov ambiguity.
Finally we explain the main ideas behind ZJBV formalism.
Suggested readings and bibliography
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Marc Henneaux and Claudio Teitelboim, Quantization of Gauge Systems
PUP 1994 ISBN:9780691037691
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Notes
13,14,15,18,19,20,21,22/11/2024 0900-1100(0915 effective lecture time start)
in saletta Fubini
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