Advanced statistical field theory

Quick links

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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 16 - 20, 2020 :

All information about the program

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

Enseignant : Kay Wiese (LPT ENS)

Chargé de TD : Camille Aron (LPT ENS)

Nombre d’ECTS : 3

Langue d’enseignement : Anglais

This course will provide you with a deeper understanding of field theory, universality and the renormalization group. Applications range from the large-scale structure in the universe over magnets to your coffee cup.

Basic knowledge of field theory is required. We start with a review of the basics, including φ4-theory, Gaussian integrals, and the path integral.

While most applications are chosen for simplicity from statistical mechanics, the methods are general, and useful in high-energy physics, condensed matter, and soft matter.

Topics are

• Large orders in perturbation theory, instantons, Padé and Borel resummation

• Operator product expansion ; polymers and their mapping to φ4-theory

• Stochastic field theory

• Disordered elastic systems : metastability, non-analyticity of the effective action

• functional RG and non-perturbative RG

• avalanches and their resummation via instantons

• Reaction-diffusion systems. Sandpiles, and their relation to disordered elastic systems.

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 16 - 20, 2020 :

All information about the program

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