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

Aug 8 – 13, 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

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

Aug 11, 2022, 9:40 AM
20m
CP1-HSZ/1st-1.002 - HS6 (CP1-HSZ)

### CP1-HSZ/1st-1.002 - HS6

#### CP1-HSZ

50
Oral Presentation 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.

### Primary authors

Carsten Urbach (Helmholtz-Institut für Strahlen- und Kernphysik) Simone Romiti (uni-bonn) Christiane Gross (uni-bonn)

### Presentation materials

 talk_from_html_crop.pdf talk.html