The Definition of Double Commutators and Consistency in Free Field Theory

Details The Definition of Double Commutators and Consistency in Free Field Theory The Definition of Double Commutators and Consistency in Free Field Theory

1996-10-08

arxiv.org/abs/hep-th/9610048v2

Physics

High Energy Physics

High Energy Physics - Theory

10 pages,latex, no figure, report-no corrected

Scientific paper

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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