Renormalization and dressing in quantum field theory

Details Renormalization and dressing in quantum field theory Renormalization and dressing in quantum field theory

2005-03-08

arxiv.org/abs/hep-th/0503076v4

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 5 figures; improved discussions, fixed typos, added acknowledgements, updated references

Scientific paper

We illustrate the mass and charge renormalization procedures in quantum field theory using, as an example, a simple model of interacting electrons and photons. It is shown how addition of infinite renormalization counterterms to the Hamiltonian helps to obtain finite and accurate results for the S-matrix. In order to remove the ultraviolet divergences from the Hamiltonian, we apply the Greenberg-Schweber ``dressing transformation'' and the Glazek-Wilson ``similarity renormalization''. The resulting ``dressed particle'' Hamiltonian is finite in all orders of the perturbation theory and yields accurate S-matrix and bound state energies. The bare and virtual particles are removed from the theory, and physical dressed particles interact via direct action-at-a-distance.

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