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math-ph2022
A microscopic derivation of Gibbs measures for the 1D focusing cubic nonlinear Schrödinger equation
Andrew Rout, Vedran Sohinger
In this paper, we give a microscopic derivation of Gibbs measures for the focusing cubic nonlinear Schrödinger equation on the one-dimensional torus from many-body quantum Gibbs st…
math-ph2022★ 2 cited
The Euclidean theory as a limit of an interacting Bose gas
Jürg Fröhlich, Antti Knowles, Benjamin Schlein +1
We prove that the complex Euclidean field theory with local quartic self-interaction in two dimensions arises as a limit of an interacting Bose gas at positive temperature, when th…