First-order quantum correction to the ground-state energy density of two-dimensional hard-sphere Bose atoms

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dc.creatorKim, Sang-Hoon
dc.creatorDas, Mukunda P.
dc.date2008-08-25
dc.date.accessioned2026-07-07T09:58:13Z
dc.date.available2026-07-07T09:58:13Z
dc.descriptionDivergence exponents of the first-order quantum correction of a two-dimensional hard-sphere Bose atoms are obtained by an effective field theory method. The first-order correction to the ground-state energy density with respect to the zeroth-order is given by $\cale_1/\cale_0 \sim |D-2|^{-\al}|\lnγ|^{-\al'}$, where $D$ is the spatial dimension, and $γ$ is the gas parameter ($γ=n a^D$). As $D \to 2$, $\al =\al'=1$. We show that the first-order quantum correction of the energy density is not perturbative in low dimensions of $D < 2.2$ regardless of any gas parameter which is much less that 1.
dc.description9 pages, 3 figures,
dc.identifierhttps://arxiv.org/abs/0808.3288
dc.identifierhttp://arxiv.org/abs/0808.3288
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167639
dc.subjectStatistical Mechanics
dc.titleFirst-order quantum correction to the ground-state energy density of two-dimensional hard-sphere Bose atoms
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