Statistical Field Theory and Applications - Département de Physique de l'Ecole Normale supérieure

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Statistical Field Theory and Applications

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November 14 - 18, 2022 :
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Tél : 01 44 32 35 60
enseignement@phys.ens.fr

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Next student seminar :
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Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship

News : ICFP Research seminars
November 14 - 18, 2022 :
All information about the program

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr

Faculty : Adam Nahum
Tutor : Xiangyu Cao
ECTS credits: 6
Language of instruction: English
Examination: Written Examination
Course description:

This course is about how to describe complex systems using ideas of the renormalization group (‘coarse-graining’) and statistical field theory. Taking lattice models of magnetism as a starting point, we will explore

— Examples of scale invariance
— Real space renormalization group
— Renormalization group formalism
— Applications of Landau Ginsburg theory and mean field
— Free field theory (as a conformally invariant fixed point)
— The large n limit in the O(n) model
— Wilson-Fisher 4-epsilon expansion
— Nonlinear sigma model and 2+epsilon expansion
— Field theory duality (XY model and Sine-Gordon)
— Kosterlitz Thouless RG flows
— The ‘landscape’ of the O(n) model in various dimensions
— Mapping between quantum and classical statistical mechanics

We will touch on further topics such as gauge theory and topological order if time allows.

Prerequisites: Basic concepts from statistical mechanics such as partition function, phase transition, symmetry breaking. Familiarity with the idea of a functional (field) integral. Gaussian integration.

References:

John Cardy, Scaling and Renormalization in Statistical Physics, Cambridge University Press
Denis Bernard, Statistical Field Theory and Applications, An Introduction for (and by) Amateurs
https://www.phys.ens.fr/~dbernard/Documents/Teaching/Lectures_Stat_Field_Theory_vnew.pdf
Mehran Kardar, Statistical Physics of Fields, Cambridge University Press

Quick links

Next student seminar :
Access to the program

Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship

News : ICFP Research seminars
November 14 - 18, 2022 :
All information about the program

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr