REVIEW 1 cited by
Self-repellent Brownian Bridges in an Interacting Bose Gas
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
We consider a model of $d$-dimensional interacting quantum Bose gas, expressed in terms of an ensemble of interacting Brownian bridges in a large box and undergoing the influence of all the interactions between the legs of each of the Brownian bridges. We study the thermodynamic limit of the system and give an explicit formula for the limiting free energy and a necessary and sufficient criterion for the occurrence of a condensation phase transition. For $d\geq 5$ and sufficiently small interaction, we prove that the condensate phase is not empty. The ideas of proof rely on the similarity of the interaction to that of the self-repellent random walk, and build on a lace expansion method conducive to treating {\it paths} undergoing mutual repellence within each bridge.
Forward citations
Cited by 1 Pith paper
-
Gaussian deconvolution on $\mathbb R^d$ with application to self-repellent Brownian motion
A general deconvolution theorem on R^d yields |x|^{-(d-2)} decay, and it is used to prove the critical two-point function of self-repellent Brownian motion is asymptotic to a constant times |x|^{-(d-2)}.
Discussion (0). Continue with ORCID to comment.