Relativistic N-particle energy shift in finite volume

A bstract 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 cor...

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Veröffentlicht in:The journal of high energy physics 2021-02, Vol.2021 (2), p.1-52, Article 60
Hauptverfasser: Romero-López, Fernando, Rusetsky, Akaki, Schlage, Nikolas, Urbach, Carsten
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Sprache:eng
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Zusammenfassung:A bstract 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 φ 4 theory.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP02(2021)060