A note on the Wodzicki residue

Abstract

Running neu-trino mass parameters in seesaw scenarios, JHEP 03 (2005) 024, hep-ph/0501272v3. S. Antusch, J. Kersten, M. Lindner, M. Ratz, Neutrino mass matrix running for non-degenerate seesaw scales, Phys. Lett. B538 (2002) 87-95.

Adiabatic limits, vanishing theorems and the noncommutative residue

“…In [14], Kalau and Walze proved this theorem by the normal coordinates way simultaneously. In [15], Ackermann gave a note on a new proof of this theorem by using heat kernel expansion.…”

Complete determination of the singularity structure of zeta functions

“…In particular, the residua of the poles of the extended definition of zeta function to operators of complex order are also given by the noncommutative residue. Moreover, an interesting connection of the Wodzicki residue with the second coefficient of the heat-kernel expansion of the Laplacian has been found recently [16,17].…”

A Kastler–Kalau–Walze type theorem for five-dimensional manifolds with boundary

“…In [7], Kalau and Walze proved this theorem in the normal coordinates system simultaneously. And then, Ackermann proved that the Wodzicki residue Wres(D −2 ) in turn is essentially the second coefficient of the heat kernel expansion of D 2 in [8]. On the other hand, Fedosov etc.…”