Renormalization and Ward identities using complex space-time dimension
- 1 January 1974
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 15 (1) , 1-6
- https://doi.org/10.1063/1.1666485
Abstract
Complex‐dimensional renormalization is defined for an arbitrary Feynman amplitude and shown to be equivalent to BPH renormalization. Using quantum electrodynamics as an example, Ward identities are proved; here Carlson's theorem extends the identities from integer to complex dimension. Both complex dimensional and analytic regularization are necessary at intermediate stages.Keywords
This publication has 5 references indexed in Scilit:
- Regularization and renormalization of gauge fieldsNuclear Physics B, 1972
- The Monodromy Rings of the Necklace GraphsFortschritte der Physik, 1972
- The monodromy rings of one loop Feynman integralsCommunications in Mathematical Physics, 1970
- The monodromy rings of a class of self-energy graphsCommunications in Mathematical Physics, 1969
- Proof of the Bogoliubov-Parasiuk theorem on renormalizationCommunications in Mathematical Physics, 1966