Matematics for Statistical Physics and Quantum Field Theory

A.Y. 2020/2021
Course offered to students on the PhD programme in
Overall hours
Lesson period
January 2021
Lead instructor: Vieri Mastropietro
We provide an introduction to research problems in mathematical physics and probability, and is devoted to all PHD students.
Statistical Mechanics and Quantum Field Theory pose a number of challenging problems to modern mathematical research, and concepts like renormalization, universality, emergence of conformal symmetry, non equilibrium require new and more powerful mathematical methods. I will provide an introduction to such problems and to some of the mathematical methods to analyze them, like non gaussian Grassmann integrals, rigorous Renormalization, the Gram-Hadamard bound, the Battle-Brydges-Federbush formula (cluster expansion), allowing a non perturbative construction of some Quantum Field Theory.
Basic knowledge of Mathematical Physics, Probability and Analysis.
Assessment methods
Giudizio di approvazione
Assessment result
superato/non superato
How to enrol


The course enrolment deadline is usually the 25th day of the month prior to the start date.

  • As an exception, for courses starting in October 2021, until 29 October 2021.

Subsequent course enrolment deadlines are as follows:

  • 25 October 2021 for courses starting in November 2021
  • 25 November 2021 for courses starting in December 2021.

Deadlines for enrolment in other courses will be announced as soon as possible.

How to enrol

  1. Access enrolment on PhD courses online service using your University login details
  2. Select the desired programme and click on Registration (Iscrizione) and then on Register (Iscriviti)

Ignore the option "Exam session date” that appears during the enrolment procedure.


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