SM&FT 2006

 

Energy levels of finite volume two-particle scattering states with Bloch's boundary conditions

 

 

Nazario Tantalo

 

 

Abstract

 

I will discuss the quantization condition of a two--particle state in a finite volume satisfying Bloch's boundary conditions (or flavor twisted b.c.).
I will derive a formula connecting the energy levels of the two particle states with their scattering phases. I will discuss also the case of a neutral two-pion system and the corrections induced on the quantization condition by the breaking of the isospin symmetry.