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Testing a new method for scattering in finite volume in the $\phi^4$ theory

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arxiv 2107.04853 v1 pith:LAABSLJV submitted 2021-07-10 hep-lat

Marco Garofalo , Fernando Romero-López , Akaki Rusetsky , Carsten Urbach This is my paper · ORCID
classification hep-lat
keywords methodfinitescatteringtheoryvolumealternativebrunocomparable
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abstract

We test an alternative proposal by Bruno and Hansen [1] to extract the scattering length from lattice simulations in a finite volume. For this, we use a scalar $\phi^4$ theory with two mass nondegenerate particles and explore various strategies to implement this new method. We find that the results are comparable to those obtained from the L\"uscher method, with somewhat smaller statistical uncertainties at larger volumes.

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