Osterwalder-Schrader axioms - Wightman Axioms
Palle E. T. Jorgensen, Gestur Ólafsson
Abstract
The mathematical axiom systems for quantum field theory grew out of Hilbert's sixth problem, that of stating the problems of quantum theory in precise mathematical terms. There have been several competing mathematical systems of axioms, and here we shall deal with those of A.S. Wightman and of K. Osterwalder and R. Schrader, stated in historical order. They are centered around group symmetry, relative to unitary representations of Lie groups in Hilbert space. We also mention how the Osterwalder--Schrader axioms have influenced the theory of unitary representations of groups.
Create a lesson
Related papers
Almost invariant subspaces in the topologically non-trivial setting: a pedestrian approach
Horia Cornean, Gabriele Peluso, Mikkel Hviid Thorn
Nested polynomial algebras and the exact spectrum of a three-dimensional two-spin oscillator
Ian Marquette, O. Ogulcan Tuncer, I. Yurdusen
Geometric bulk conductances in even dimensions
Alexis Drouot
Superintegrable systems in curved spaces via coalgebras and deformed Racah algebras
Samuel Jimenez-Swain, Ian Marquette, Yao-Zhong Zhang
Using the Renormalized Energy from Ginzburg-Landau Theory to Compute Solution Landscapes in the Reduced Landau-de Gennes Theory
Yucen Han, Apala Majumdar
The Fröhlich Polaron at large total momentum in d=3
Tobias Schmidt