Partial Wave Mixing in Hamiltonian Effective Field Theory

Abstract

Within general partial-wave mixing, a method for reducing the high dimension of the finite-volume Hamiltonian from Hamiltonian effective field theory is proposed. This method provides a new viewpoint on partial-wave mixing, and a set of matrices that can reflect the degree of partial-wave mixing. An example of isospin-2 $\pi \pi$ scattering is used to examine the consistency between this method and Lüscher's method.

Comments: 7 pages, 2 figures, 37th International Symposium on Lattice Field Theory - Lattice2019