A modified renormalization procedure which may avoid use of bare parameters. (English) Zbl 0689.53048
Summary: A new renormalization procedure is introduced via a method that assigns finite values to divergent expressions in quantum field theory. It is shown that this procedure works at the two-loop level in Feynman diagrams with overlapping divergences. Applications to \(\lambda \phi^ 4\) theory and quantum electrodynamics are made. Also, the Casimir effect is evaluated. Comparison of these results with those from standard renormalized methods proves them to be coincident.
MSC:
| 53C80 | Applications of global differential geometry to the sciences |
| 81T17 | Renormalization group methods applied to problems in quantum field theory |
| 58D30 | Applications of manifolds of mappings to the sciences |
Keywords:
renormalization; quantum field theory; Feynman diagrams; quantum electrodynamics; Casimir effectReferences:
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