Renormalization effects in a dilute Bose gas

Journal Article · Tue Apr 01 04:00:00 EST 1997 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.55.8090· OSTI ID:544238

Braaten, E; Nieto, A ^[1]

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1. Department of Physics, The Ohio State University, Columbus, Ohio 43210 (United States)

The low-density expansion for a homogeneous interacting Bose gas at zero temperature can be formulated as an expansion in powers of {radical}({rho}a{sup 3}), where {rho} is the number density and a is the S-wave scattering length. Logarithms of {rho}a{sup 3} appear in the coefficients of the expansion. We show that these logarithms are determined by the renormalization properties of the effective field theory that describes the scattering of atoms at zero density. The leading logarithm is determined by the renormalization of the pointlike 3{r_arrow}3 scattering amplitude. {copyright} {ital 1997} {ital The American Physical Society}

• DOE Contract Number: FG02-91ER40690
• OSTI ID: 544238
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 13 Vol. 55; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BOSE-EINSTEIN CONDENSATION
BOSE-EINSTEIN GAS
CALCULATION METHODS
ENERGY DENSITY
FLUCTUATIONS
INTERATOMIC FORCES
MEAN-FIELD THEORY
NUMERICAL ANALYSIS
QUANTUM MECHANICS
RANDOMNESS
RENORMALIZATION
S MATRIX
S WAVES
STATISTICAL MECHANICS