Essential renormalisation group
Kevin Falls (SISSA)

In this talk I will present a novel scheme for the exact renormalisation group motivated by the desire of reducing the complexity of practical computations. The key idea is to specify renormalisation conditions for all inessential couplings, leaving us with the task of computing only the flow of the essential ones. To achieve this, a renormalisation group equation for the effective average action which incorporates general non-linear field reparameterisations is utilised. The field reparameterisations allow one to fix the values of inessential couplings.
The scheme has been used to investigate the Wilson-Fisher fixed point in the three dimensional Ising model and the Reuter fixed point in quantum gravity. I will discuss the results of these investigations and the implications for quantum gravity.