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Introduction to non-perturbative solutions in field theory

Oggetto:

Introduction to non-perturbative solutions in field theory

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Academic year 2022/2023

Teacher
Marco Billo' (Lecturer)
Degree course
PhD in Physics
Year
1st year 2nd year
Teaching period
First 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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Program

Topological classical configurations of fields: kinks, vortices, monopoles and instantons. Instantons as tunneling solutions in Quantum Mechanics, then in Yang-Mills.

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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Class schedule

Notes: Schedule:

February, 13th, 10-12

February 15th, 9-11

February 28th, 10-12

March 1st, 10-12

All lectures will be held in Aula Fubini, 5th floor

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Note

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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