dorsal/arxiv
View SchemaLattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
| Authors | Bugra Borasoy, Evgeny Epelbaum, Hermann Krebs, Dean Lee, Ulf-G. Meißner |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0611087 |
| URL | https://arxiv.org/abs/nucl-th/0611087 |
| DOI | 10.1140/epja/i2006-10154-1 |
| Journal | Eur.Phys.J.A31:105-123,2007 |
Abstract
We discuss lattice simulations of light nuclei at leading order in chiral effective field theory. Using lattice pion fields and auxiliary fields, we include the physics of instantaneous one-pion exchange and the leading-order S-wave contact interactions. We also consider higher-derivative contact interactions which adjust the S-wave scattering amplitude at higher momenta. By construction our lattice path integral is positive definite in the limit of exact Wigner SU(4) symmetry for any even number of nucleons. This SU(4) positivity and the approximate SU(4) symmetry of the low-energy interactions play an important role in suppressing sign and phase oscillations in Monte Carlo simulations. We assess the computational scaling of the lattice algorithm for light nuclei with up to eight nucleons and analyze in detail calculations of the deuteron, triton, and helium-4.
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"abstract": "We discuss lattice simulations of light nuclei at leading order in chiral\neffective field theory. Using lattice pion fields and auxiliary fields, we\ninclude the physics of instantaneous one-pion exchange and the leading-order\nS-wave contact interactions. We also consider higher-derivative contact\ninteractions which adjust the S-wave scattering amplitude at higher momenta. By\nconstruction our lattice path integral is positive definite in the limit of\nexact Wigner SU(4) symmetry for any even number of nucleons. This SU(4)\npositivity and the approximate SU(4) symmetry of the low-energy interactions\nplay an important role in suppressing sign and phase oscillations in Monte\nCarlo simulations. We assess the computational scaling of the lattice algorithm\nfor light nuclei with up to eight nucleons and analyze in detail calculations\nof the deuteron, triton, and helium-4.",
"arxiv_id": "nucl-th/0611087",
"authors": [
"Bugra Borasoy",
"Evgeny Epelbaum",
"Hermann Krebs",
"Dean Lee",
"Ulf-G. Mei\u00dfner"
],
"categories": [
"nucl-th",
"hep-lat",
"hep-ph"
],
"doi": "10.1140/epja/i2006-10154-1",
"journal_ref": "Eur.Phys.J.A31:105-123,2007",
"title": "Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order",
"url": "https://arxiv.org/abs/nucl-th/0611087"
},
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