Relativistic \(N\)-particle energy shift in finite volume

DOI10.1007/JHEP02(2021)060zbMATH Open1460.81066arXiv2010.11715MaRDI QIDQ2025963

Author name not available (Why is that?)

Publication date: 17 May 2021

Published in: (Search for Journal in Brave)

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

v a r p h i^{4}

theory.

Full work available at URL: https://arxiv.org/abs/2010.11715

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