Scaling Limit of Quantum Electrodynamics with Spatial Cutoffs

Details Scaling Limit of Quantum Electrodynamics with Spatial Cutoffs Scaling Limit of Quantum Electrodynamics with Spatial Cutoffs

2009-08-14

arxiv.org/abs/0908.2080v2

Physics

Mathematical Physics

Scientific paper

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.

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