Geodesic
Fierz identities in spaces of nonintegral dimension
Teoretičeskaâ i matematičeskaâ fizika, Tome 58 (1984) no. 2, pp. 308-314

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Fierz transformations, which change the order of the spinor indices of direct products of $\gamma$ 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” $d=4-2\varepsilon$ should be included) strongly restrict the possibilities of constructing a supersymmetric dimensional regularization. 
@article{TMF_1984_58_2_a15,
     author = {L. V. Avdeev},
     title = {Fierz identities in spaces of nonintegral dimension},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {308--314},
     publisher = {mathdoc},
     volume = {58},
     number = {2},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1984_58_2_a15/}
}
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L. V. Avdeev. Fierz identities in spaces of nonintegral dimension. Teoretičeskaâ i matematičeskaâ fizika, Tome 58 (1984) no. 2, pp. 308-314. http://geodesic.mathdoc.fr/item/TMF_1984_58_2_a15/