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Lattice gauge theory calculations using an improved strong-coupling expansion and matrix Padé approximants |
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| Authors: | DRT Jones RD Kenway JB Kogut DK Sinclair |
| Institution: | Theory Division, CERN, 1211 Geneva 23, Switzerland;Materials Research Laboratory, Physics Department, Brown University, Providence, Rhode Island 02912, USA;Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA;Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge, CB3 9EW, UK |
| Abstract: | Matrix methods are used to obtain better convergence of low-order lattice calculations. Strong-coupling expansions for the Hamiltonian matrix in a non-degenerate subspace of states are extrapolated to zero lattice spacing using matrix Padé approximants. The method is applied first to the massive Schwinger model and the continuum estimates from different fourth-order calculations compared. Then it is used to calculate the ratios of the π, ? and ω meson masses to the nucleon mass in a Hamiltonian lattice formulation of QCD. |
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