Low temperature condensation and scattering data
| Autor: | Mario Giuliani, Christof Gattringer, Oliver Orasch |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
High Energy Physics - Theory Finite volume method Scattering Condensation Lattice field theory High Energy Physics - Lattice (hep-lat) FOS: Physical sciences Scattering length Function (mathematics) Action (physics) Computational physics High Energy Physics - Phenomenology High Energy Physics - Lattice High Energy Physics - Phenomenology (hep-ph) High Energy Physics - Theory (hep-th) Spectroscopy |
| Zdroj: | Scopus-Elsevier |
| DOI: | 10.48550/arxiv.1809.02366 |
| Popis: | We study $\phi^4$ lattice field theory at finite chemical potential $\mu$ in two and four dimensions, using a worldline representation that overcomes the complex action problem. We compute the particle number at very low temperature as a function of $\mu$ and determine the first three condensation thresholds, where the system condenses 1, 2 and 3 particles. The corresponding critical values of the chemical potential can be related to the 1-, 2- and 3-particle energies of the system, and we check this relation with a direct spectroscopy determination of the $n$-particle energies from $2n$-point functions. We analyze the thresholds as a function of the spatial size of the system and use the known finite volume results for the $n$-particle energies to relate the thresholds to scattering data. For four dimensions we determine the scattering length from the 2-particle threshold, while in two dimensions the full scattering phase shift can be determined. In both cases the scattering data computed from the 2-particle threshold already allow one to determine the 3-particle energy. In both, two and four dimensions we find very good agreement of this ''prediction'' with direct determinations of the 3-particle energy from either the thresholds or the 6-point functions. The results show that low temperature condensation is indeed governed by scattering data. Comment: Contribution to the proceedings of LATTICE2018 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|