Gauge-Invariant Differential Renormalization: Abelian Case
نویسنده
چکیده
A new version of differential renormalization is presented. It is based on pulling out certain differential operators and introducing a logarithmic dependence into diagrams. It can be defined either in coordinate or momentum space, the latter being more flexible for treating tadpoles and diagrams where insertion of counterterms generates tadpoles. Within this version, gauge invariance is automatically preserved to all orders in Abelian case. Since differential renormalization is a strictly fourdimensional renormalization scheme it looks preferable for application in each situation when dimensional renormalization meets difficulties, especially, in theories with chiral and super symmetries. The calculation of the ABJ triangle anomaly is given as an example to demonstrate simplicity of calculations within the presented version of differential renormalization. Supported by INTAS, grant 94–4666, and by the Russian Foundation for Basic Research, project 96–01–00726. E-mail: [email protected]
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ar X iv : h ep - t h / 96 05 16 4 v 1 2 2 M ay 1 99 6 Gauge - Invariant Differential Renormalization : Abelian Case
A new version of differential renormalization is presented. It is based on pulling out certain differential operators and introducing a logarithmic dependence into diagrams. It can be defined either in coordinate or momentum space, the latter being more flexible for treating tadpoles and diagrams where insertion of counterterms generates tadpoles. Within this version, gauge invariance is automa...
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