Scaling Limit of Quantum Electrodynamics with Spatial Cutoffs

Abstract

In this paper the Hamiltonian of quantum electrodynamics with spatial cutoffs is investigated. We define a scaled total Hamiltonian and consider its asymptotic behavior. In the main theorem, it is shown that the scaled total Hamiltonian converges to a self-adjoint operator in the strong resolvent sense, and effective potentials are derived.

References in corpus (1)

• On the Spectral Analysis of Quantum Electrodynamics with Spatial Cutoffs. I

Cited by in corpus (2)

• Scaling Limits for the System of Semi-Relativistic Particles Coupled to a Scalar Bose Field
• Scaling limits with a removal of ultraviolet cutoffs for semi-relativistic particles system coupled to a scalar Bose field