The definition of double commutators and consistency in free field theory

Within the framework of generalized functions a general consistent definition of double commutators is given. This definition respects the Jacobi identity even if the regularization is removed. The double commutator of fermionic currents is calculated in this limit. We show that BJL--type prescripti...

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Bibliographic Details
Main Author: Pawlowski, Jan M. (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: 1996
In: Arxiv

Online Access:Verlag, kostenfrei, Volltext: http://arxiv.org/abs/hep-th/9610048
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Author Notes:J.M. Pawlowski
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Summary:Within the framework of generalized functions a general consistent definition of double commutators is given. This definition respects the Jacobi identity even if the regularization is removed. The double commutator of fermionic currents is calculated in this limit. We show that BJL--type prescriptions and point--splitting prescriptions for calculating double commutators fail to give correct results in free field theory.
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