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Renormalization in quantum field theory - NJSF197

Title:	Renormalizace v kvantové teorii pole
Guaranteed by:	Institute of Particle and Nuclear Physics (32-UCJF)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2022
Semester:	winter
E-Credits:	4
Hours per week, examination:	winter s.:3/1, Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech, English
Teaching methods:	full-time

Guarantor:	Mgr. Martin Zdráhal, Ph.D.
Teacher(s):	Mgr. Martin Zdráhal, Ph.D.

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Annotation -

Introduction to the renormalization in quantum field theory extending the standard course Quantum field theory II. Divergencies in QFT. Regularization methods. General understanding of the renormalization. Renormalization schemes. Running coupling constants. Renormalization group equation. Wilsonian renormalization. Assymptotic freedom and safety. Relevant and irrelevant operators. BPHZ renormazlization. Functional (exact) renormalization group equation.

Last update: Krtička Milan, prof. Mgr., Ph.D. (24.06.2021)

Literature - Czech

Peskin M., Schroeder D., An introduction to quantum field theory, Westview Press, Reading 1995.

Das A., Lectures on quantum field theory, World Scientific, Singapore 2008.

Weinberg S., The Quantum Theory of Fields (vol. I, II), Cambridge University Press 1995.

Collins J., Renormalization, Cambridge University Press 1984.

Srednicki M., Quantum Field Theory, Cambridge University Press 2007.

Delamotte B., A Hint of renormalization, Am. J. Phys. 72 (2004), 170-184 [arXiv:hep-th/0212049].

Nagy S., Lectures on Renormalization and Asymptotic Safety, Annals Phys. 350 (2014), 310-346 [arXiv:hep-th/1211.4151].

Last update: Zdráhal Martin, Mgr., Ph.D. (24.06.2021)

Syllabus -

Divergencies in QFT.

Regularization methods.

General understanding of renormalization.

Renormalization schemes.

The locality of divergences. Weinberg theorems.

Renormalization of the higher loop computations.

BPHZ renormalization.

Formal dimensional regularization.

Running coupling constants.

Renormalization group equation.

Wilsonian renormalization.

Asymptotic freedom and safety.

Relevant and irrelevant operators.

Functional (exact) renormalization group equation.

Last update: Zdráhal Martin, Mgr., Ph.D. (11.01.2022)