Excited State Spectroscopy in the Lattice Gross-Neveu Model

TL;DR

This paper reports preliminary results on excited state spectroscopy in the 2D lattice Gross-Neveu model, focusing on interpolator construction, eigenvector analysis, and state matching across different lattice volumes.

Contribution

It introduces a method for constructing interpolators and using eigenvectors to identify and match excited states in lattice simulations of the Gross-Neveu model.

Findings

Successful construction of interpolators for excited states

Eigenvector analysis aids in matching scattering states across volumes

Preliminary results demonstrate feasibility of the approach

Abstract

We present preliminary results of an excited state spectroscopy calculation in the 2-d lattice Gross-Neveu model. We address the construction of suitable interpolators for the variational method and their overlap with excitations. We comment on the role of the eigenvectors as a tool for matching scattering states on lattices with different volumes.