Eur. Phys. J. A (2007) 31: 777-780
https://doi.org/10.1140/epja/i2007-10005-7

QNP 2006

Yukawa model on a lattice: Two-body states

¹ Departamento de Sistemas Fısicos Quımicos y Naturales, Universidad Pablo de Olavide, 41013, Sevilla, Spain
² Laboratoire de Physique Subatomique et Cosmologie, 53 av. des Martyrs, 38026, Grenoble, France
³ UMR7644, Centre de Physique Théorique Ecole Polytechnique, 91128, Palaiseau, France
⁴ Laboratoire de Physique Théorique, UMR8627, Université Paris-XI, 91405, Orsay, France

Received: 8 January 2007
Accepted: 15 January 2007
Published online: 22 March 2007

Abstract

We present some Quantum Field Theory (QFT) results concerning the Yukawa model, solved non-perturbatively with the help of lattice techniques. In particular we focus on the possibility of generating a two-nucleon bound state, as compared to the non-relativistic limit of the same model. Preliminary results show the appearance of zero modes of the Dirac operator. They limit the numerical solution of the model to values of the coupling constant which are too small to allow binding of the two-nucleon system.