Bernd Dahmen | Searcharxiv

arXiv1994

Strong coupling expansion for scattering phases in hamiltonian lattice field theories - II. SU(2) gauge theory in (2+1) dimensions

A recently proposed method for a strong coupling analysis of scattering phenomena in hamiltonian lattice field theories is applied to the $\SU2$ Yang-Mills model in $(2+1)$ dimensions. The calculation is performed up to second order in the hopping parameter. All relevant quantities that characterize the collision between the lightest glueballs in the elastic region -- cross section, phase shifts, resonance parameters -- are determined.

hep-lat↗

arXiv1994

Strong Coupling Expansion for Scattering Phases in Hamiltonian Lattice Field Theories - I. the $(d+1)$-dimensional Ising model

A systematic method to obtain strong coupling expansions for scattering quantities in Hamiltonian lattice field theories is presented. I develop the conceptual ideas by means of the Hamiltonian field theory analogue of the Ising model, in $d$ space and one time dimension. The main result is a convergent series representation for the sacttering states and the transition matrix. To be explicit the special cases of $d=1$ and $d=3$ spatial dimensions are discussed in detail. I compute the next-to-leading order approximation for the phase shifts. The application of the method to investigate low-energy scattering phenomena in lattice gauge theory and QCD is proposed.

hep-lat↗