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arXiv · 1806.02367

Two- and three-body interactions in $φ^4$ theory from lattice simulations

Fernando Romero-López·Akaki Rusetsky·Carsten Urbach
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Abstract

We calculate the one-, two- and three-particle energy levels for different lattice volumes in the complex $φ^4$ theory on the lattice. We argue that the exponentially suppressed finite-volume corrections for the two- and three-particle energy shifts can be reduced significantly by using the single particle mass, which includes the finite-size effects. We show numerically that, for a set of bare parameters, corresponding to the weak repulsive interaction, one can reliably extract the two- and three-particle energy shifts. From those, we extract the scattering length, the effective range and the effective three-body coupling. We show that the parameters, extracted from the two- and three-particle energy shifts, are consistent. Moreover, the effective three-body coupling is significantly different from zero.

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Fernando Romero-López, Akaki Rusetsky, Carsten Urbach. 2018-10-22. Two- and three-body interactions in $φ^4$ theory from lattice simulations. https://doi.org/10.1140/epjc%2Fs10052-018-6325-8

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