Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1999-03-25
Phys.Rev. D60 (1999) 094508
Physics
High Energy Physics
High Energy Physics - Lattice
23 pages, 4 figures
Scientific paper
10.1103/PhysRevD.60.094508
The renormalized coupling $\gr$ defined through the connected 4-point function at zero external momentum in the non-linear O(3) sigma-model in two dimensions, is computed in the continuum form factor bootstrap approach with estimated error $\sim 0.3%$. New high precision data are presented for $\gr$ in the lattice regularized theory with standard action for nearly thermodynamic lattices $L/\xi\sim 7$ and correlation lengths $\xi$ up to $\sim 122$ and with the fixed point action for correlation lengths up to $\sim 12$. The agreement between the form factor and lattice results is within $\sim 1%$. We also recompute the phase shifts at low energy by measuring the two-particle energies at finite volume, a task which was previously performed by L\"uscher and Wolff using the standard action, but this time using the fixed point action. Excellent agreement with the Zamolodchikov S-matrix is found.
Balog Janos
Niedermaier Max
Niedermayer Ferenc
Patrascioiu Adrian
Seiler Erhard
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