Mass Scaling of the Near-Critical 2D Ising Model Using Random Currents

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Standard

Mass Scaling of the Near-Critical 2D Ising Model Using Random Currents. / Klausen, Frederik Ravn; Raoufi, Aran.

I: Journal of Statistical Physics, Bind 188, Nr. 3, 21, 2022, s. 1-21.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Klausen, FR & Raoufi, A 2022, 'Mass Scaling of the Near-Critical 2D Ising Model Using Random Currents', Journal of Statistical Physics, bind 188, nr. 3, 21, s. 1-21. https://doi.org/10.1007/s10955-022-02939-x

APA

Klausen, F. R., & Raoufi, A. (2022). Mass Scaling of the Near-Critical 2D Ising Model Using Random Currents. Journal of Statistical Physics, 188(3), 1-21. [21]. https://doi.org/10.1007/s10955-022-02939-x

Vancouver

Klausen FR, Raoufi A. Mass Scaling of the Near-Critical 2D Ising Model Using Random Currents. Journal of Statistical Physics. 2022;188(3):1-21. 21. https://doi.org/10.1007/s10955-022-02939-x

Author

Klausen, Frederik Ravn ; Raoufi, Aran. / Mass Scaling of the Near-Critical 2D Ising Model Using Random Currents. I: Journal of Statistical Physics. 2022 ; Bind 188, Nr. 3. s. 1-21.

Bibtex

@article{75a3786f43a9403ba345066087ff2005,
title = "Mass Scaling of the Near-Critical 2D Ising Model Using Random Currents",
abstract = "We examine the Ising model at its critical temperature with an external magnetic field ha158 on aZ2 for a,h>0. A new proof of exponential decay of the truncated two-point correlation functions is presented. It is proven that the mass (inverse correlation length) is of the order of h815 in the limit h→0. This was previously proven with CLE-methods in Camia et al. in (Commun Pure Appl Math 73(7):1371–405, 2020). Our new proof uses instead the random current representation of the Ising model and its backbone exploration. The method further relies on recent couplings to the random cluster model (Aizenman et al. in Invent Math 216:661–743, 2018) as well as a near-critical RSW-result for the random cluster model (Duminil-Copin and Manolescu in Planar Random-Cluster Model: Scaling Relations, 2020).",
author = "Klausen, {Frederik Ravn} and Aran Raoufi",
year = "2022",
doi = "10.1007/s10955-022-02939-x",
language = "English",
volume = "188",
pages = "1--21",
journal = "Journal of Statistical Physics",
issn = "0022-4715",
publisher = "Springer",
number = "3",

}

RIS

TY - JOUR

T1 - Mass Scaling of the Near-Critical 2D Ising Model Using Random Currents

AU - Klausen, Frederik Ravn

AU - Raoufi, Aran

PY - 2022

Y1 - 2022

N2 - We examine the Ising model at its critical temperature with an external magnetic field ha158 on aZ2 for a,h>0. A new proof of exponential decay of the truncated two-point correlation functions is presented. It is proven that the mass (inverse correlation length) is of the order of h815 in the limit h→0. This was previously proven with CLE-methods in Camia et al. in (Commun Pure Appl Math 73(7):1371–405, 2020). Our new proof uses instead the random current representation of the Ising model and its backbone exploration. The method further relies on recent couplings to the random cluster model (Aizenman et al. in Invent Math 216:661–743, 2018) as well as a near-critical RSW-result for the random cluster model (Duminil-Copin and Manolescu in Planar Random-Cluster Model: Scaling Relations, 2020).

AB - We examine the Ising model at its critical temperature with an external magnetic field ha158 on aZ2 for a,h>0. A new proof of exponential decay of the truncated two-point correlation functions is presented. It is proven that the mass (inverse correlation length) is of the order of h815 in the limit h→0. This was previously proven with CLE-methods in Camia et al. in (Commun Pure Appl Math 73(7):1371–405, 2020). Our new proof uses instead the random current representation of the Ising model and its backbone exploration. The method further relies on recent couplings to the random cluster model (Aizenman et al. in Invent Math 216:661–743, 2018) as well as a near-critical RSW-result for the random cluster model (Duminil-Copin and Manolescu in Planar Random-Cluster Model: Scaling Relations, 2020).

U2 - 10.1007/s10955-022-02939-x

DO - 10.1007/s10955-022-02939-x

M3 - Journal article

VL - 188

SP - 1

EP - 21

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 3

M1 - 21

ER -

ID: 318817519