The 39th International Symposium on Lattice Field Theory (Lattice 2022)

Anisotropy from the Wilson flow in QED in 2+1 dimensions

11 Aug 2022, 09:40

20m

CP1-HSZ/1.002 (CP1-HSZ) - HS6 (CP1-HSZ)

Oral Presentation Hadron Spectroscopy and Interactions Hadron Spectroscopy and Interactions

Speaker

Simone Romiti (uni-bonn)

Description

Lattice simulations of QED in 2+1 dimensions are done both in the Lagrangian and Hamiltonian formalism. Though equivalent in the continuum limit, at finite lattice spacing there is no trivial correspondence among the physical parameters, and a matching is required. This can be done non-perturbatively, finding the Hamiltonian parameters that reproduce the $a_t\to 0$ limit of asymmetric lattice actions. In this work we consider the pure gauge theory on a torus $L^2\times T$ for several values of $\beta$ and of the anisotropy $\xi$. We show how to extract the mass gap of the theory and how to compute the renormalized anisotropy using both the static potential and the Wilson flow evolution of gauge fields.

Presentation materials

talk_from_html_crop.pdf

talk.html