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A mathematically consistent formulation of relativistic quantum electrodynamics (QED) has still to be found. Nevertheless, there are several simplified effective models that successfully describe many body quantum systems and the interaction of radiation with matter. Large Coulomb Systems explores a selection of mathematical topics inspired by QED. It comprises selected, expanded and edited lectures given by international experts at a topical summer school and is intended as a high-level introduction for graduate students, postdocs and nonspecialists from related fields.

Quantum electrodynamics --- Mathematics. --- Quantum electrodynamics -- Mathematics. --- Physics --- Physical Sciences & Mathematics --- Physics - General --- Electricity & Magnetism --- Mathematics --- Electrodynamics, Quantum --- QED (Physics) --- Physics. --- Mathematical analysis. --- Analysis (Mathematics). --- Elementary particles (Physics). --- Quantum field theory. --- Mathematical Methods in Physics. --- Elementary Particles, Quantum Field Theory. --- Analysis. --- Quantum field theory --- Schwinger action principle --- Mathematical physics. --- Quantum theory. --- Global analysis (Mathematics). --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Physical mathematics --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Thermodynamics --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Nuclear physics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- 517.1 Mathematical analysis --- Mathematical analysis