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

Jun Nishimura
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Abstract

The phase shift of the O(4) symmetric $ϕ^4$ theory in the symmetric phase is calculated numerically using the relation between phase shift and energy levels of two-particle states recently derived by Lüscher. 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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Jun Nishimura. 1992-07-26. Monte Carlo Calculation of Phase Shift in Four Dimensional O(4) $ϕ^4$ Theory. https://doi.org/10.1016/0370-2693(92)91536-i

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