Scattering phases on finite lattices in the broken phase of the four-dimensional O(4)-ϕ^4 theory

Abstract

According to a proposal of Luescher it is possible to determine elastic scattering phases in infinite volume from the energy spectrum of two-particle states in a periodic box. We demonstrate the applicability of this method in the broken phase of the four-dimensional O(4) non-linear sigma-model in a Monte Carlo study on finite lattices. This non-perturbative approach also permits the study of unstable particles, the sigma-particle in our case. We observe the sigma-resonance and extract its mass and width. In all scattering channels investigated the results are completely consistent with perturbative calculations.

46 pages uuencoded Postscript, file 1 contains text with tables (29 pages), file 2 contains figures (17 pages), complete ps-file available via anonymous ftp at thphys.physik.rwth-aachen.de in directory pub/scat, preprints HLRZ Juelich 94-8 and Aachen PITHA 94/11

References in corpus (8)

• $I=2$ pion scattering amplitude with Wilson fermions
• Resonance Scattering Phase Shifts in a 2-d Lattice Model
• Scaling analysis of the O(4)-symmetric ${\Phi }^4$-theory in the broken phase
• Charge screening in the Higgs phase of Chern-Simons electrodynamics
• Monte Carlo Calculation of Phase Shift in Four Dimensional O(4) ${\varphi }^4$ Theory
• Is there a $\rho$ in the O(4) $\lambda {\varphi }_4^4$ theory?
• Meson-Meson Scattering in Lattice QED_2+1
• The $I=1$, $J=1$ channel of the O(4) $\lambda {\varphi }_4^4$ theory

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