PT Journal
AU Romero-Lopez, F
   Rusetsky, A
   Schlage, N
   Urbach, C
TI Relativistic N-particle energy shift in finite volume
SO Journal of High Energy Physics
JI J. High Energy Phys.
PY 2021
BP 060
EP 52pp
VL 02
IS 2
DI 10.1007/JHEP02(2021)060
LA English
DE Lattice QCD; 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.
ER