%0 Journal Article %T Relativistic N-particle energy shift in finite volume %A Romero-Lopez, F. %A Rusetsky, A. %A Schlage, N. %A Urbach, C. %J Journal of High Energy Physics %D 2021 %V 02 %N 2 %I Springer %@ 1029-8479 %G English %F Romero-Lopez_etal2021 %O WOS:000617678000002 %O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=4711), last updated on Wed, 03 Mar 2021 12:50:42 +0000 %X We present a general method for deriving the energy shift of an interacting system of N spinless particles in a finite volume. To this end, we use the nonrelativistic effective field theory (NREFT), and match the pertinent low-energy constants to the scattering amplitudes. Relativistic corrections are explicitly included up to a given order in the 1/L expansion. We apply this method to obtain the ground state of N particles, and the first excited state of two and three particles to order L-6 in terms of the threshold parameters of the two- and three-particle relativistic scattering amplitudes. We use these expressions to analyze the N-particle ground state energy shift in the complex phi (4) theory. %K Lattice QCD %K Lattice Quantum Field Theory %R 10.1007/JHEP02(2021)060 %U https://arxiv.org/abs/2010.11715 %U https://doi.org/10.1007/JHEP02(2021)060 %P 060-52pp