Ground state and charge renormalization in a nonlinear model of relativistic atoms

DOI10.1007/s00220-008-0660-9zbMath1180.81155arXiv0712.2911OpenAlexW2027391056MaRDI QIDQ731301

Éric Séré, Philippe Gravejat, Mathieu Lewin

Publication date: 2 October 2009

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.2911

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Electromagnetic interaction; quantum electrodynamics (81V10) Atomic physics (81V45)

Related Items (10)

The Microscopic Origin of the Macroscopic Dielectric Permittivity of Crystals: A Mathematical Viewpoint ⋮ Static electron-positron pair creation in strong fields for a non-linear Dirac model ⋮ On the ultraviolet limit of the Pauli-Fierz Hamiltonian in the Lieb-Loss model ⋮ Derivation of the magnetic Euler-Heisenberg energy ⋮ A new definition of the Dirac-Fock ground state ⋮ Renormalization and asymptotic expansion of Dirac's polarized vacuum ⋮ Construction of the Pauli-Villars-regulated Dirac vacuum in electromagnetic fields ⋮ The dielectric permittivity of crystals in the reduced Hartree-Fock approximation ⋮ The positronium and the dipositronium in a Hartree-Fock approximation of quantum electrodynamics ⋮ Ground state properties of graphene in Hartree-Fock theory

Cites Work

• Proof of the ionization conjecture in a reduced Hartree-Fock model
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• A new approach to the modeling of local defects in crystals: The reduced Hartree-Fock case
• Quantum field theory techniques in graphical enumeration
• On the stability of the relativistic electron-positron field
• Existence of atoms and molecules in non-relativistic quantum electrodynamics
• On the Hartree-Fock equations of the electron-positron field
• Existence of a stable polarized vacuum in the Bogoliubov-Dirac-Fock approximation
• The mean-field approximation in quantum electrodynamics: The no-photon case
• Self-consistent solution for the polarized vacuum in a no-photon QED model
• Remarks on the Polarization Effects in the Positron Theory
• Renormalization of the regularized relativistic electron-positron field
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