Monte Carlo Calculation of Phase Shift in Four Dimensional O(4) $φ^4$ Theory

Details Monte Carlo Calculation of Phase Shift in Four Dimensional O(4) $φ^4$ Theory Monte Carlo Calculation of Phase Shift in Four Dimensional O(4) $φ^4$ Theory

1992-07-26

arxiv.org/abs/hep-lat/9207028v1

Phys.Lett. B294 (1992) 375-379

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages, 3 figures (not included but available by mail), UT-615

Scientific paper

10.1016/0370-2693(92)91536-I

The phase shift of the O(4) symmetric $\phi^4$ theory in the symmetric phase is calculated numerically using the relation between phase shift and energy levels of two-particle states recently derived by L\"{u}scher. The results agree with the prediction of perturbation theory. A practical difficulty of the method for a reliable extraction of the phase shift for large momenta due to the necessity of a precise determination of excited two-particle energy levels is pointed out.

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