TY - JOUR AU - Romero-Lopez, F. AU - Rusetsky, A. AU - Schlage, N. AU - Urbach, C. PY - 2021 DA - 2021// TI - Relativistic N-particle energy shift in finite volume T2 - J. High Energy Phys. JO - Journal of High Energy Physics SP - 060 EP - 52pp VL - 02 IS - 2 PB - Springer KW - Lattice QCD KW - Lattice Quantum Field Theory AB - 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. SN - 1029-8479 UR - https://arxiv.org/abs/2010.11715 UR - https://doi.org/10.1007/JHEP02(2021)060 DO - 10.1007/JHEP02(2021)060 LA - English N1 - WOS:000617678000002 ID - Romero-Lopez_etal2021 ER -