The 38th International Symposium on Lattice Field Theory

Renormalisation of the 3D SU(N) scalar energy-momentum tensor using the Wilson flow

28 Jul 2021, 14:30

15m

Oral presentation Theoretical developments and applications beyond particle physics Theoretical developments and applications beyond particle physics

Speaker

Joseph Lee (University of Edinburgh)

Description

In the holographic approach to cosmology, cosmological observables are described in terms of correlators of a three-dimensional boundary quantum field theory. As a concrete model, we study the 3D massless SU(N) scalar matrix field theory with a ${\varphi }^4$ interaction. On the lattice, the energy-momentum tensor (EMT) in this theory can mix with the operator ${\varphi }^2$. We utilise the Wilson Flow to renormalise the EMT on the lattice, and present numerical results for the mixing coefficient for N=2. Obtaining the renormalised EMT will allow us to make predictions for the CMB power spectra in the regime where the dual QFT is non-perturbative.

Presentation materials

Lattice2021_JLee.pdf

Video