Matematics for Statistical Physics and Quantum Field Theory
A.Y. 2020/2021
Course offered to students on the PhD programme in
Visit the PhD website for the course schedule and other information
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.
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
Deadlines
The course enrolment deadline is usually the 27th day of the month prior to the start date.
How to enrol
- Access enrolment on PhD courses online service using your University login details
- 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.
Contacts
For help please contact [email protected]
Professor(s)
Mastropietro Vieri