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 |
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Hauptverfasser: | , , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
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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. |
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ISSN: | 1029-8479 1029-8479 |
DOI: | 10.1007/JHEP02(2021)060 |