Add to ORKGAbstract. The system of semi-relativistic particles coupled to a scalar bose field is inves-tigated. A renormalized Hamiltonian is defined by subtracting a divergent term from the total Hamiltonian. We consider taking the scaling limit and removing the ultraviolet cut-offs simultaneously for the renormalized Hamiltonian. By applying an abstract scaling limit theory on self-adjoint operators, we derive the Yukawa potential as an effective potential of semi-relativistic particles
The non-relativistic (scaling) limit of a particle-field Hamiltonian H, called a Dirac-Maxwell opera...
In the context of the rigorous analysis of Bose-Einstein condensation, recent achievements have been...
We explore the classical and quantum properties of a sterile scalar field coupled to N copies of Dir...
MI: Global COE Program Education-and-Research Hub for Mathematics-for-Industry グローバルCOEプログラム「マス･フォア･...
Scaling limits for the system of semi-relativistic particles coupled to a scalar bose fiel
This paper presents a rigorous derivation of an N-body Schrodinger Hamiltonian from taking a weak co...
Starting from the N-particle Nelson Hamiltonian defined by imposing an ultraviolet cutoff, we perfor...
International audienceStarting from the N-particle Nelson Hamiltonian defined by imposing an ultravi...
32 pagesIn this article, we study the asymptotic fields of the Yukawa particle-field model of quantu...
A scaling limit for the generalized spin-boson (GSB) model is considered. We derive a scaling limit ...
A functional integral representation of a heat semigroup acting on a Hilbert space is constructed. I...
We study a mathematically rigorous derivation of a quantum mechanical Hamiltonian in a general frame...
Abstract Improving the effective action by the renormalization group (RG) with several mass scales i...
This article gives a solution to an open problem in the paper: A.Arai; J.Math.Phys.31, 2653(1990). W...
We present a method of short-distance analysis in quantum field theory that does not require choosin...
The non-relativistic (scaling) limit of a particle-field Hamiltonian H, called a Dirac-Maxwell opera...
In the context of the rigorous analysis of Bose-Einstein condensation, recent achievements have been...
We explore the classical and quantum properties of a sterile scalar field coupled to N copies of Dir...
MI: Global COE Program Education-and-Research Hub for Mathematics-for-Industry グローバルCOEプログラム「マス･フォア･...
Scaling limits for the system of semi-relativistic particles coupled to a scalar bose fiel
This paper presents a rigorous derivation of an N-body Schrodinger Hamiltonian from taking a weak co...
Starting from the N-particle Nelson Hamiltonian defined by imposing an ultraviolet cutoff, we perfor...
International audienceStarting from the N-particle Nelson Hamiltonian defined by imposing an ultravi...
32 pagesIn this article, we study the asymptotic fields of the Yukawa particle-field model of quantu...
A scaling limit for the generalized spin-boson (GSB) model is considered. We derive a scaling limit ...
A functional integral representation of a heat semigroup acting on a Hilbert space is constructed. I...
We study a mathematically rigorous derivation of a quantum mechanical Hamiltonian in a general frame...
Abstract Improving the effective action by the renormalization group (RG) with several mass scales i...
This article gives a solution to an open problem in the paper: A.Arai; J.Math.Phys.31, 2653(1990). W...
We present a method of short-distance analysis in quantum field theory that does not require choosin...
The non-relativistic (scaling) limit of a particle-field Hamiltonian H, called a Dirac-Maxwell opera...
In the context of the rigorous analysis of Bose-Einstein condensation, recent achievements have been...
We explore the classical and quantum properties of a sterile scalar field coupled to N copies of Dir...