Message from Bertrand Delamotte:
I am teaching the course: FRG Basics. Here is the beginning of my lecture notes (the rest has not been typed up yet).
The prerequisites for my course (and many others) are:
- definition of the Ising and O(N) models,
- partition function, free energy, and Legendre transform,
- connected and 1PI correlation functions, functional methods (from page 6 to page 11, very important to understand before the beginning of the school)
- first- and second-order phase transitions,
- correlation length, universality, spontaneous symmetry breaking,
- mean-field approximation (from page 18 to page 21, important).
These concepts will be reviewed only very briefly, if at all, so it is necessary to have them (fairly well) in mind.
If this is not the case, read pages 6 through 22, where all of this is discussed (along with many other topics that are not necessary for a first reading). If you have difficulty with these basic concepts, please ask me by email for clarification before the start of the course.
No prerequisites are required regarding the renormalization group.
If possible, please bring a laptop with Mathematica installed (or any other software capable of performing simple numerical and symbolic calculations and plotting graphs). This Mathematica file will be used during the tutorials (rename the file as file.nb after download).
Message from Nicolas Wschebor: recommended references
Message from Matthieu Tissier: Tutorial text
Message from Laura Classen:
Dear all,
The (handwritten) lecture notes for the course on quantum condensed matter systems with the FRG will be uploaded to the website.
For the tutorial on Monday afternoon, I’m attaching a Mathematica notebook. If possible, please bring a laptop to the tutorial that can either run Mathematica, or some other computing software (in which case you’ll have to type in some definitions yourself).
For the tutorial on Thursday afternoon, you will need Python and the open-source divERGe code https://scipost.org/10.21468/SciPostPhysCodeb.26 . I’m attaching two Python scripts which we will use. Here many thanks go to Lennart Klebl for his help with them. Furthermore, please download the divERGe code as described from here https://diverge-no-lfs-4e1bdb.pages.rwth-aachen.de/Getting%20Started.html
This will work on a Linux operating system. If you are using macOS or Windows, you would have to compile everything yourself for full usage. However, for the tutorial, it would be sufficient (and probably easiest) if you use a Linux emulator. If you are ok with that solution, you can, for example, download Docker https://www.docker.com/products/docker-desktop/ Then, on macOS, you can run the following commands in your terminal (for Windows you are on your own) docker run –platform linux/amd64 -it –rm -v /Users/lauraclassen/divERGe:/app python:3.9 bash pip install /app/diverge . You can test if the code works by running simple.py that you’ll find in the example folder. Or by running already the attached hubbard.py.
Best,
Laura
Attached files: tutorialCZ2.nb QCPs.pdf hubbard_plot.py hubbard.py FRG_CMT_LesHouches.pdf
Message from Holger Gies: Tutorial text
Message from Léonie: Bibliography and mathematica file KPZ-simplest-approx.nb