1992Journal of Physics A Mathematical and GeneralOpen access

Solution of the renormalization problem in nonrelativistic quantum electrodynamics

J. Seke

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Abstract

The renormalization problem is solved without using the mass renormalization concept, by introducing a new physical interaction picture in which the unobservable interaction of the free electron with the vacuum radiation field is eliminated. This is achieved by applying a self-consistent projection-operator method developed by the author. A finite expression for the nonrelativistic Lamb shift, whose explicit evaluation shows a fairly good agreement with the experiment, is derived.

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The renormalization problem is solved without using the mass renormalization concept, by introducing a new physical interaction picture in which the unobservable interaction of the free electron with the vacuum radiation field is eliminated. This is achieved by applying a self-consistent projection-operator method developed by the author. A finite expression for the nonrelativistic Lamb shift, whose explicit evaluation shows a fairly good agreement with the experiment, is derived.

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Available abstract

The renormalization problem is solved without using the mass renormalization concept, by introducing a new physical interaction picture in which the unobservable interaction of the free electron with the vacuum radiation field is eliminated. This is achieved by applying a self-consistent projection-operator method developed by the author. A finite expression for the nonrelativistic Lamb shift, whose explicit evaluation shows a fairly good agreement with the experiment, is derived.

Key concepts: Renormalization, Lamb shift, Physics, Quantum electrodynamics, Operator (biology), Quantum field theory, Projection (relational algebra), Quantum mechanics

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