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Introduction to non-perturbative solutions in field theory
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Introduction to non-perturbative solutions in field theory
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Academic year 2023/2024
- Teacher
- Marco Billo' (Lecturer)
- Degree course
- PhD in Physics
- Year
- 1st year, 2nd year
- Teaching period
- Second semester
- Type
- Related or integrative, Elective
- Credits/Recognition
- 2 (8 hours)
- Course disciplinary sector (SSD)
- FIS/02 - theoretical physics, mathematical models and methods
- Delivery
- Traditional
- Language
- English
- Attendance
- Obligatory
- Type of examination
- Written and oral
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Sommario del corso
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Course objectives
The aim of the course is to learn some basic concepts about non-perturbative solutions in Quantum Mechanics and Quantum Field Theories and their relation to classical solòitnic solutions.
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Results of learning outcomes
The student is expect to develope the ability to individuate non-perturbative instantonic effects which could be pertinent to his field of research and to deal with them, at least at an initial level.
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Program
Topological classical configurations of fields: kinks, vortices, monopoles and instantons. Instantons as tunneling solutions in Quantum Mechanics, then in Yang-Mills.
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Course delivery
The course is delivered ina very traditional way. It consists of blackboard lectures delivered in presence by the teacher.
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Learning assessment methods
During the course, the students will be asked to interact byu posing questions, demanding clarifications, offering insights. In this way the teacher will be able to monitor their learning curve.
For the exam, The students should prepare a short essay on a topic agreed upon with the teacher, regarding some extension of the m,aterial covered in the course, and discuss it with the teacher.
Suggested readings and bibliography
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S. Coleman, "Aspects of Symmetry -Selected Erice lectures'', Cambridge University Press (1985), chapters 6 and expecially 7.
S. Weinberg, "The quantum theory of fields'', Cambridge University Press (1996), Vol II, Chapter 2.
S. Vandoren and P. van Nieuwenhuizen, "Lectures on instantons,'' arXiv:0802.1862 [hep-th].
G. 't Hooft, "Monopoles, instantons and confinement,'' arXiv:hep-th/0010225.
N. Dorey, T. J. Hollowood, V. V. Khoze and M. P. Mattis, "The calculus of many instantons,''
Phys. Rept. 371, 231 (2002) [arXiv:hep-th/0206063].D. Tong, "TASI lectures on solitons,'' arXiv:hep-th/0509216.
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Notes
Students wishing to take this course must register with the teacher via email, beside registering to the course on this Campusnet page.
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Class schedule
Lessons: from 08/02/2024 to 28/02/2024
Notes:
08/02/2024, 9:30-11:30, Fubini
09/02/2024, 9:30-11:30, Fubini
13/02/2024, 9-11, Verde
15/02/2024, 15:30-17:30, Verde
21/02/2024, 9:30-11:30, Fubini- Enroll
- Closed
- Enrollment opening date
- 02/11/2023 at 00:00
- Enrollment closing date
- 15/02/2024 at 23:55
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