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

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

## Nonperturbative matching of Hamiltonian and Lagrangian Simulations

Aug 9, 2022, 7:00 PM
1h
Poster Presentation Theoretical Developments and Applications beyond Particle Physics

### Speaker

Christiane Groß (Helmholtz-Institut für Strahlen- und Kernphysik)

### Description

When comparing the Lagrangian and Hamiltonian formulations of lattice gauge theories, a matching procedure is required to match the parameters and observables between these two formulations. For this, we take the continuum limit in time direction on the Lagrangian side, while keeping the spatial lattice spacing fixed. We study several observables for this nonperturbative matching and compare different ways to take the temporal continuum limit. We apply our approach to the pure U(1) lattice gauge theory in 2+1 dimensions.

### Primary author

Christiane Groß (Helmholtz-Institut für Strahlen- und Kernphysik)

### Co-authors

Angus Kan (University of Waterloo) Carsten Urbach (Helmholtz-Institut für Strahlen- und Kernphysik) Karl Jansen (DESY) Lena Funcke (MIT) Simone Romiti (uni-bonn) Stefan Kühn