First-Order Quantum Correction to the Ground-State Energy Density of Two-Dimensional Hard-Sphere Bose Atoms

Date

2010

Authors

Kim, Sang-Hoon
Das, Mukunda P

Journal Title

Journal ISSN

Volume Title

Publisher

World Scientific Publishing Company

Abstract

Divergence 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 E1/E0∼ |D-2|-α|lnγ| -α′ where D is the spatial dimension, and γ is the gas parameter (γ = naD). As D →2, α = α′ = 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 than unity.

Description

Keywords

Keywords: Boson systems; Interacting boson model; Quantum field theory

Citation

Source

International Journal of Modern Physics B

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

Restricted until

2037-12-31