I.F.T.

Almuerzo-Seminario

(Lunch seminar)

May 26th, 1:00 p.m.

A Proof of the Irreversibility of Renormalization Group Flows in Four Dimensions

José Ignacio Latorre

Universidad de Barcelona

We prove the irreversibility of renormalization group flows for unitary, renormalizable theories in four dimensions, i.e., the four dimensional version of the c-theorem. Using Ward identities for scale transformations and spectral representation arguments, we show that the c-function based on the trace of the energy-momentum tensor (originally suggested by Cardy) decreases monotonically along renormalization group trajectories. At fixed points this c-function is stationary and coincides with the coefficient of the Euler density in the trace anomaly.

The almuerzo-seminario is intended to be an informal seminar and an open forum for discussion.

You are wellcome to bring your own bocata (sandwich), or coffee or tea.

Where: Modulo C-XVI, 3rd floor, Facultad de Ciencias U.A.M., C.U. Cantoblanco, 28049-Madrid