Monte Carlo Calculation of Phase Shift in Four Dimensional O(4) ϕ4 Theory
Jun Nishimura
Abstract
The phase shift of the O(4) symmetric ϕ4 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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