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Thesis offer: Doctoral student "Asymptotic behaviour of the Sinh-Gordon model multiple integrals" (H/F)

This offer is available in the following languages:
Français - Anglais

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General information

Reference : UMR5669-VIRGON-003
Workplace : LYON 07
Date of publication : Monday, May 18, 2020
Scientific Responsible name : Alice GUIONNET et Karol K. KOZLOWSKI
Type of Contract : PhD Student contract / Thesis offer
Contract Period : 36 months
Start date of the thesis : 1 September 2020
Proportion of work : Full time
Remuneration : 2 135,00 € gross monthly

Description of the thesis topic

This project aims at studying the large-N behaviour of a class of integrals over N variables in strong interactions. Such integrals allow to express various kinds of quantities appearing in mathematical physics, for instance the correlation functions in the N-site discretisation of the 1+1 dimensional quantum Sinh-Gordon model in nite volume. In fact, on the one hand
these integrals generalise rather naturally those describing the integration over the spectrum of large random hermitian matrices while on the other one they bring into the game many
new features. The study of their large-N behaviour will allow to obtain a thorough and nonperturbative characterisation of a quantum eld theory in nite volume. Moreover, the complete
understanding of this problem would allow for an important progress in mathematics which would pave the way to the large-N analysis of new types of integrals involving integration
variables in strong interaction and generalising the famous Coulomb gas models.

Work Context

The doctoral student will be based at the ENS de Lyon at UMPA, UMR 5669. He/she will work in close relationship with the scientific leaders.

Constraints and risks

Short-term trips, in France and abroad, are to be expected.

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