Artículos de revistas
Discrepancies of products of zeta-regularized products
Fecha
2012Registro en:
Mathematical Research Letters, Volumen 19, Issue 1, 2018, Pages 199-212
1945001X
10732780
10.4310/MRL.2012.v19.n1.a16
Autor
Castillo Gárate, Víctor
Friedman Rafael, Eduardo
Institución
Resumen
Zeta-regularized products Πmam are known not to commute with finite products, so one studies the discrepancy Fn given by exp(Fn) := {equation presented}. For a rather general class of products, associated to polynomials Pj in several variables, we show that the discrepancy Fn(P1, . . . , Pn) of n products is a sum of pairwise contributions F2(Pi, P j). Namely, {equation presented}. Thus, there are no higher interactions behind the non-commutativity. © International Press 2012.