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Introduction to nonperturbative methods for fermionic models

Lecturer: 
Course Type: 
PhD Course
Academic Year: 
2023-2024
Period: 
November-December
Duration: 
20 h
Description: 

This course presents techniques used to rigorously approach the analysis of statistical mechanical systems of interacting fermions on a lattice.

Topics:

  1. Universality and Critical phenomena
  2. Gaussian integration, Feynman graphs and Linked Cluster Theorem
  3. Grassmann variables and Grassmann Gaussian integration
  4. Perturbation theory for Fermions using Grassmann variables
  5. Brydges-Battle-Federbush formula with applications.
Next Lectures: 
Friday, December 1, 2023 - 09:00 to 11:00
Monday, December 4, 2023 - 09:00 to 11:00
Friday, December 8, 2023 - 09:00 to 11:00
Monday, December 11, 2023 - 09:00 to 11:00
Friday, December 15, 2023 - 09:00 to 11:00
Monday, December 18, 2023 - 09:00 to 11:00
Friday, December 22, 2023 - 09:00 to 11:00

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