Margherita Disertori,Alessandro Giuliani,Ian Jauslin
Margherita Disertori
We consider a system of anisotropic plates in the three-dimensional continuum, interacting via purely hard core interactions. We assume that the particles have a finite number of allowed orientations. In a suitable range of densities, we pr...
Volker Branding
Volker Branding
We study the qualitative behavior of nonlinear Dirac equations arising in quantum field theory on complete Riemannian manifolds. In particular, we derive monotonicity formulas and Liouville theorems for solutions of these equations. Finally...
Derivation of the Time Dependent Gross-Pitaevskii Equation in Two Dimensions [0.03%]
二维时间依赖的Gross-Pitaevskii方程的导出
Maximilian Jeblick,Nikolai Leopold,Peter Pickl
Maximilian Jeblick
We present microscopic derivations of the defocusing two-dimensional cubic nonlinear Schrödinger equation and the Gross-Pitaevskii equation starting from an interacting N-particle system of bosons. We consider the interaction potential to ...
Rational Recursion Operators for Integrable Differential-Difference Equations [0.03%]
有理递归算子与可积微分-差分方程
Sylvain Carpentier,Alexander V Mikhailov,Jing Ping Wang
Sylvain Carpentier
In this paper we introduce the concept of preHamiltonian pairs of difference operators, demonstrate their connections with Nijenhuis operators and give a criteria for the existence of weakly nonlocal inverse recursion operators for differen...
Antti Kemppainen,Stanislav Smirnov
Antti Kemppainen
In this article we show the convergence of a loop ensemble of interfaces in the FK Ising model at criticality, as the lattice mesh tends to zero, to a unique conformally invariant scaling limit. The discrete loop ensemble is described by a ...
Higher Equations of Motion for Boundary Liouville Conformal Field Theory from the Ward Identities [0.03%]
边界Liouville共形场论的更高运动方程从WARD恒等式中得出
In this document we prove higher equations of motion at the level 2 for boundary Liouville Conformal Field Theory. As a corollary we present a new derivation of the Belavin-Polyakov-Zamolodchikov differential equations. Our method of proof ...