δ(0) divergences and the functional integration measure

Details δ(0) divergences and the functional integration measure δ(0) divergences and the functional integration measure

Jul 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvd..48..680a&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 48, Issue 2, 15 July 1993, pp.680-688

Physics

2

Scientific paper

We show that whenever a theory involves equal numbers of bosonic and fermionic degrees of freedom and Fujikawa's measure is used for each field, then the theory is free of δ(0) divergences at the one loop order. Consequently, in any supersymmetric theory the δ(0) divergences are absent. If a theory involves different numbers of bosonic and fermionic degrees of freedom, then the maximal divergences at the one loop order can be made to vanish by suitably introducing Pauli-Villars regulators or by choosing a nonultralocal, but still unitary, extension of the functional measure. The vanishing of δ(0) divergences is related to the correct normalization of the functional integral.

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