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

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

## 6144 Pions in a Box

Aug 8, 2022, 4:50 PM
20m
CP1-HSZ/Ground-0.010 - HS2 (CP1-HSZ)

### CP1-HSZ/Ground-0.010 - HS2

#### CP1-HSZ

450
Oral Presentation Hadron Spectroscopy and Interactions

### Speaker

Ryan Abbott (MIT)

### Description

This talk presents a new method for computing correlators for systems of many identical mesons. The method allows the computation of every meson correlator up to N mesons from propagators using only a single N by N eigendecomposition. This pushes the frontier of many-meson calculations from dozens to thousands, and as a demonstration I will present the computation of the maximal-isospin pion correlator for systems from 1 up to 6144 pions on an ensemble of Wilson fermions with slightly heavier than physical pions ($m_\pi \sim 170 \, {\rm MeV}$). In addition, I will cover some aspects of analyzing such correlators, a task complicated by the sheer scale of the correlators involved.

### Primary authors

Fernando Romero-Lopez (MIT) Ryan Abbott (MIT) William Detmold (MIT)