Abstract
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 φ4 theory.
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Romero-López, F., Rusetsky, A., Schlage, N. et al. Relativistic N-particle energy shift in finite volume. J. High Energ. Phys. 2021, 60 (2021). https://doi.org/10.1007/JHEP02(2021)060
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DOI: https://doi.org/10.1007/JHEP02(2021)060