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Course, academic year 2018/2019
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Renormalisation Theory of Phase Transitions - NTMF035
Title in English: Renormalizační teorie fázových přechodů
Guaranteed by: Institute of Theoretical Physics (32-UTF)
Faculty: Faculty of Mathematics and Physics
Actual: from 2018 to 2018
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0 Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech
Teaching methods: full-time
Additional information:
Guarantor: prof. RNDr. Václav Janiš, DrSc.
Classification: Physics > Theoretical and Math. Physics
Annotation -
Last update: T_UTF (25.04.2003)
Phase transitions in lattice models, singularities in thermodynamic functions and critical behaviour. Mean-field theory for second order phase transitions, Landau-Ginzburg-Wilson continuous model of critical fluctuations, loop expansion, infrared and ultraviolet divergencies. Renormalized perturbation theory in the critical region and calculation of critical exponents. For students of the 4th and 5th year and doctoral sudents of TF and FPL.
Literature - Czech
Last update: RNDr. Pavel Zakouřil, Ph.D. (05.08.2002)

J. J. Binney et al.: The Theory of Critical Phenomena, An Introduction to the Renormalization Group (Clarendon Press, Oxford 1992)

Syllabus -
Last update: T_UTF (25.04.2003)

Phase transitions and their microscopical models. Mean-field theory for second order phase transitions, scaling hypothesis and critical exponents. Landau-Ginzburg-Wilson continuous model for critical fluctuations, loop expansion. Infrared and ultraviolet divergencies.

Renormalization of divergencies in physical quantities, renormalized perturbation theory. Mass, field and coupling constant renormalization. Calculation of critical exponents and universal quantities. Microscopic basis for scaling behaviour and renormalization group.

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