Contac interactions, Gamma convergence in Electrodynamics and the (Nelson) Polaron
Abstract
The Polaron is the quantum of a "Polarization" field originated by the "contact" interaction [D1][D2] of a massive polarizable particle with a photon. We prove that this process produces bound states. Each bound state carries a representation of the photon field that is inequivalent to the Fock representation; we call them "Nelson Polarons". To describe mathematically the contact interaction we make use of Gamma convergence, a variational tool.
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