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Introduction to constrained systems
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Introduction to constrained systems
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Academic year 2022/2023
- Teacher
- Igor Pesando (Lecturer)
- Degree course
- PhD in Physics
- Teaching period
- First semester
- Type
- Elective
- Course disciplinary sector (SSD)
- FIS/02 - theoretical physics, mathematical models and methods
- Delivery
- Traditional
- Language
- English
- Attendance
- Obligatory
- Type of examination
- Practice test
- Prerequisites
- Classical mechanics and some basic quantum field theory, expecially some knowledge of Yang-Mills theory and QED
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Sommario del corso
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Course objectives
The aim of the course is to give an introduction to 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 system and quantize it using BRST formalism.
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Course delivery
Lectures
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Learning assessment methods
Take home exercises.
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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 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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Class schedule
Notes: Schedule:
First part 15,17,18,21,24 November 2022
Second part 03,08,10,15 February 2023
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