Résultats de recherche
Part of my work relies on deciphering and using quantum symmetries, others have a more mathematical flavour related either to algebraic structures of CFT and to geometrical aspects of Riemann surfaces. Turbulent Systems, Turbulent Transports / Systèmes turbulents, transports turbulents.
Denis BERNARD Laboratoire de Physique de l’Ecole Normale Sup erieure, CNRS, ENS & Universit e PSL, Sorbonne Universit e, Universit e de Paris, 75005 Paris, France. Web: https://www.phys.ens.fr/˘dbernard/ June 2020* Preliminary version : 2020..... Chapter 3 was written in part by Jesper Jacobsen. Comments are welcome.
Curriculum Vitae (2022) .....Denis BERNARD Laboratoire de Physique de l’Ecole Normale Sup erieure. E-mail: denis.bernard@ens.fr Personal Information Name: Denis BERNARD Date of birth: June 09, 1961 Nationality: French Website: htpps:/www.phys.ens.fr/˘dbernard Orcid: https://orcid.org/0000-0002-5492-8360
Cours de Denis Bernard Cours de Denis Bernard Publié le 22 mars 2024, modifié le 22 mars 2024. Statistical field theory (M2) : Lectures_Stat_Field_Theory_vnew.pdf (pdf, 4.66 Mo) Éléments de théorie des groupes et symétries quantiques en collaboration avec Y. Laszlo et D. Renard (M1) : polyEAPhy2012.pdf ...
Stochastic Schramm-Loewner Evolution (SLE) from Statistical Conformal Field Theory (CFT): An Introduction for (and by) Amateurs. Denis Bernard.
Ce qui frappe le plus, dans la carrière de Denis Bernard, c’est l’impressionnante variété des domai-nes de recherche qu’il a abordés. À 43 ans, il a consa-cré plus de soixante-dix articles à pas moins de neuf domaines, des théories des cordes à la turbulence, en passant par les théories conformes, « l’un des fils
Denis BERNARD Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544, USA Received 24 February 1988 (Revised 2 May 1988) We give a formulation of the Wess-Zumino-Witten models on Riemann surfaces of arbitrary genus in which the Ward identities for the current algebras become complete. It requires twisting
Plan : (order different from the lecture notes) — Brownian motions, random paths. — Statistical lattice models and field theory. — Renormalization group and universality. — Statistical field theory: free theory. — Statistical field theory: interactions. — Conformal field theory: basics.
Denis BERNARD Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544, USA Received 15 December 1987 We discuss the Ward identities of the Wess-Zumino-Witten models on Riemann surfaces and point out some ambiguities in the description of the zero modes of the currents. In the case of the
by Denis BERNARD & Jesper JACOBSEN The XY model The XY model is a statistical spin model with spin variables S~ i, on each site iof the lattice, which are two component unit vectors, S~2 i = 1. The energy of a con guration [S~] is de ned as E[S~] = P [ij] S~ iS~ jwhere the sum runs over neighboor points on . Parametrising the unit spin vectors S~
