Speaker
Prof.
Vieri Mastropietro
(Universita' di Roma Tor Vergata)
Description
Around 2007 Pierluigi Falco sent me a two line mail writing
something like "then we can prove the kadanoff relation $x_- x_+=1$". This
was the end of a two year discussion between we two (which I will be
recall in my seminar)
on the renormalization/non renormalization of the anomalies in quantum
field theory and its implications for universality in statistical
mechanics; the complete proof of universality relations in non solvable
spin models was later on published (Benfatto, Falco, Mastropietro CMP 292,
509 (2009)), and this opened a very exciting research line, crowned to
the proof of universality in the conductivity in Graphene or in the
Hubbard model. While the combination
of the properties of anomalies with constructive Renormalization Group
seems the right tool to understand universality in equilibrium statistical
physics, I will describe some universality results in non equilibrium one
dimensional interacting fermions which apparently do not fit in this
scheme.
Primary author
Vieri Mastropietro
(Univ. Milano)
