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Geometric expansion of the log-partition function of the anisotropic Heisenberg model

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Daniel Gandolfo, Suren Poghosyan, Jean Ruiz

Mathematical Physics · Submitted 29 Mar 2015

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Using the Ginibre's representation of the anisotropic Heisenberg model as a gas of interacting trajectories of a compound Poisson process we find all the non-decreasing terms of this expansion.

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arXiv ID1503.08505 (version 1)
Pith IDDTLO65AV, Pith's permanent record of this paper and its review
CitationDaniel Gandolfo, Jean Ruiz, Suren Poghosyan. "Geometric expansion of the log-partition function of the anisotropic Heisenberg model." arXiv:1503.08505 (2015). https://pith.science/paper/DTLO65AV
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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.10 · compares with prior results 0.05 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We study the asymptotic expansion of the log-partition function of the anisotropic Heisenberg model in a bounded domain as this domain is dilated to infinity. Using the Ginibre's representation of the anisotropic Heisenberg model as a gas of interacting trajectories of a compound Poisson process we find all the non-decreasing terms of this expansion. They are given explicitly in terms of functional integrals. As the main technical tool we use the cluster expansion method.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We study the asymptotic expansion of the log-partition function of the anisotropic Heisenberg model in a bounded domain as this domain is dilated to infinity. contribution 0.89 0.91 0.10 asserted 0.91
s1 Using the Ginibre's representation of the anisotropic Heisenberg model as a gas of interacting trajectories of a compound Poisson process we find all the non-decreasing terms of this expansion. method 0.58 0.96 0.46 asserted 1.00
s2 They are given explicitly in terms of functional integrals. result 0.97 0.87 0.16 asserted 1.00
s3 As the main technical tool we use the cluster expansion method. method 1.00 0.91 0.04 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We study the asymptotic expansion of the log-partition function of the anisotropic Heisenberg model in a bounded domain as this domain is dilated to infinity. Using the Ginibre's representation of the anisotropic Heisenberg model as a gas of interacting trajectories of a compound Poisson process we find all the non-decreasing terms of this expansion. They are given explicitly in terms of functional integrals. As the main technical tool we use the cluster expansion method.

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