dorsal/arxiv
View SchemaAlpha matter on a lattice
| Authors | Armen Sedrakian, Herbert Müther, Peter Schuck |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0407020 |
| URL | https://arxiv.org/abs/nucl-th/0407020 |
| DOI | 10.1016/j.nuclphysa.2005.11.025 |
| Journal | Nucl.Phys.A766:97-106,2006 |
Abstract
We obtain the equation of state of interacting alpha matter and the critical temperature of Bose-Einstein condensation of alpha particles within an effective scalar field theory. We start from a non-relativistic model of uniform alpha matter interacting with attractive two-body and repulsive three-body potentials and reformulate this model as a O(2) symmetric scalar \phi^6 field theory with negative quartic and positive sextic interactions. Upon restricting the Matsubara sums, near the temperature of Bose-Einstein condensation, to the zeroth order modes we further obtain an effective classical theory in three spatial dimensions. The phase diagram of the alpha matter is obtained from simulations of this effective field theory on a lattice using local Monte-Carlo algorithms.
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"abstract": "We obtain the equation of state of interacting alpha matter and the critical\ntemperature of Bose-Einstein condensation of alpha particles within an\neffective scalar field theory. We start from a non-relativistic model of\nuniform alpha matter interacting with attractive two-body and repulsive\nthree-body potentials and reformulate this model as a O(2) symmetric scalar\n\\phi^6 field theory with negative quartic and positive sextic interactions.\nUpon restricting the Matsubara sums, near the temperature of Bose-Einstein\ncondensation, to the zeroth order modes we further obtain an effective\nclassical theory in three spatial dimensions. The phase diagram of the alpha\nmatter is obtained from simulations of this effective field theory on a lattice\nusing local Monte-Carlo algorithms.",
"arxiv_id": "nucl-th/0407020",
"authors": [
"Armen Sedrakian",
"Herbert M\u00fcther",
"Peter Schuck"
],
"categories": [
"nucl-th",
"astro-ph",
"cond-mat.stat-mech"
],
"doi": "10.1016/j.nuclphysa.2005.11.025",
"journal_ref": "Nucl.Phys.A766:97-106,2006",
"title": "Alpha matter on a lattice",
"url": "https://arxiv.org/abs/nucl-th/0407020"
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