English

A comparative study of two lattice approaches to two-body systems

High Energy Physics - Lattice 2014-04-01 v1

Abstract

We present a method to extract the spectrum of two-particle systems on the lattice from wave functions computed in lattice simulations. The energies of the Hamiltonian eigenstates are extracted from the eigenvalues of a matrix, similar to a potential, constrained by the wave functions. This method is compared with the traditional variational method in the isospin 2 ππ\pi\pi system.

Keywords

Cite

@article{arxiv.1312.1032,
  title  = {A comparative study of two lattice approaches to two-body systems},
  author = {Bruno Charron and for HAL QCD Collaboration},
  journal= {arXiv preprint arXiv:1312.1032},
  year   = {2014}
}

Comments

Talk given at 31st International Symposium on Lattice Field Theory (Lattice 2013), Mainz, Germany, 29 Jul - 3 Aug 2013, 7 pages, 6 figures