Abstract:
Fierz transformations, which change the order of the spinor
indices of direct products of γ matrices, are studied. It
is shown that the particular features of the Fierz identities in
infinite-dimensional spaces (among which a space of nonintegral
“dimension” d=4−2ε should be included) strongly
restrict the possibilities of constructing a supersymmetric
dimensional regularization.
Citation:
L. V. Avdeev, “Fierz identities in spaces of nonintegral dimension”, TMF, 58:2 (1984), 308–314; Theoret. and Math. Phys., 58:2 (1984), 203–207
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A. N. Vasil'ev, S. È. Derkachev, N. A. Kivel', “A technique for calculating the γ-matrix structures of the diagrams of a total four-fermion interaction with infinite number of vertices d=2+ϵ dimensional regularization”, Theoret. and Math. Phys., 103:2 (1995), 487–495
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Alessandro Bondi, Guiseppe Curci, Giampiero Paffuti, Paolo Rossi, “Metric and central charge in the perturbative approach to two dimensional fermionic models”, Annals of Physics, 199:2 (1990), 268
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