Scientific Calendar Event



Starts 30 Nov 2021 11:00
Ends 30 Nov 2021 12:00
Central European Time
Hybrid seminar: Virtual, and
SISSA 128
via Bonomea, 265 Trieste
Abstract:

In this talk I will present a novel scheme for the exact (aka functional) 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 one with the task of computing only the flow of the essential ones. To achieve this aim, a renormalisation group equation for the effective average action which incorporates general non-linear field reparameterisations is utilised. A prominent feature of the scheme is that, apart from the renormalisation of the mass, the propagator evaluated at any constant value of the field maintains its unrenormalised form. Conceptually, the scheme provides a clearer picture of renormalisation itself since the redundant, non-physical content is automatically disregarded in favour of a description based only on quantities that enter expressions for physical observables. To exemplify the scheme's utility, I will present the investigation of the Wilson-Fisher fixed point in three dimensions at order two in the derivative expansion. In this case, the scheme removes all terms with two derivatives apart from the canonical term. Further simplifications occur at higher orders in the derivative expansion.