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Quantum Electrodynamics in a Uniform Magnetic Field

2005/12/28 by Jun Suzuki, Suzuki, Jun
Physics and Astronomy · #Atomic and Molecular Physics #Quantum Mechanics and Applications #Quantum and electron transport phenomena #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0512329

28 pages, no figures, ptp-tex

arxiv created 2005/12/28 · arxiv updated 2009/12/01

Abstract

A systematic formalism for quantum electrodynamics in a classical uniform magnetic field is discussed. The first order radiative correction to the ground state energy of an electron is calculated. This then leads to the anomalous magnetic moment of an electron without divergent integrals. Thorough analyses of this problem are given for the weak magnetic field limit. A new expression for the radiative correction to the ground state energy is obtained. This contains only one integral with an additional summation with respect to each Landau level. The importance of this formalism is also addressed in order to deal with quantum electrodynamics in an intense external field.

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