@article{AGS,
 author={Aru, Juhan and Garban, Christophe and Sep{\'u}lveda, Avelio},
 title={Percolation for {2D} Classical {Heisenberg} Model and Exit Sets of Vector Valued {GFF}},
 journal={Communications in Mathematical Physics}, volume={406}, number={2}, pages={37}, year={2025},
 doi={10.1007/s00220-024-05208-y}, eprint={2212.06767}, archivePrefix={arXiv},
 note={Article 37}
}

@article{AizenmanSimonWard,
 author={Aizenman, Michael and Simon, Barry},
 title={Local {Ward} Identities and the Decay of Correlations in Ferromagnets},
 journal={Communications in Mathematical Physics}, volume={77}, pages={137--143}, year={1980},
 doi={10.1007/BF01982713}
}

@article{Berezinskii,
 author={Berezinskii, V. L.},
 title={Destruction of Long-Range Order in One-Dimensional and Two-Dimensional Systems Having a Continuous Symmetry Group. {I}. Classical Systems},
 journal={Soviet Physics JETP}, volume={32}, number={3}, pages={493--500}, year={1971},
 url={https://www.jetp.ras.ru/cgi-bin/dn/e_032_03_0493.pdf}
}

@article{CC,
  author = {Campbell, M. and Chayes, L.},
  title = {The isotropic {O(3)} model and the {Wolff} representation},
  journal = {Journal of Physics A: Mathematical and General},
  volume = {31}, number = {13}, pages = {L255--L259}, year = {1998},
  doi = {10.1088/0305-4470/31/13/002},
  url = {https://www.math.ucla.edu/~lchayes/lchayes_website_folder/old_publications_folder/camp_w_lett.pdf}
}

@article{DriesslerLandauPerez,
 author={Driessler, W. and Landau, L. and Perez, J. Fernando},
 title={Estimates of Critical Lengths and Critical Temperatures for Classical and Quantum Lattice Systems},
 journal={Journal of Statistical Physics}, volume={20}, number={2}, pages={123--162}, year={1979},
 doi={10.1007/BF01011509}
}

@article{EdwardsSokal,
  author = {Edwards, Robert G. and Sokal, Alan D.},
  title = {Generalization of the {Fortuin--Kasteleyn--Swendsen--Wang} representation and {Monte Carlo} algorithm},
  journal = {Physical Review D}, volume = {38}, number = {6}, pages = {2009--2012}, year = {1988},
  doi = {10.1103/PhysRevD.38.2009}
}

@article{FKG,
  author = {Fortuin, C. M. and Kasteleyn, P. W. and Ginibre, J.},
  title = {Correlation inequalities on some partially ordered sets},
  journal = {Communications in Mathematical Physics},
  volume = {22}, pages = {89--103}, year = {1971},
  doi = {10.1007/BF01651330}
}

@article{FS,
 author={Fr{\"o}hlich, J{\"u}rg and Spencer, Thomas},
 title={The {Kosterlitz--Thouless} Transition in Two-Dimensional {Abelian} Spin Systems and the {Coulomb} Gas},
 journal={Communications in Mathematical Physics}, volume={81}, pages={527--602}, year={1981},
 doi={10.1007/BF01208273}
}

@article{FortuinKasteleyn,
  author = {Fortuin, C. M. and Kasteleyn, P. W.},
  title = {On the random-cluster model: {I}. {Introduction} and relation to other models},
  journal = {Physica}, volume = {57}, number = {4}, pages = {536--564}, year = {1972},
  doi = {10.1016/0031-8914(72)90045-6}
}

@article{GagnebinVelenik,
 author={Gagnebin, Maxime and Velenik, Yvan},
 title={Upper Bound on the Decay of Correlations in a General Class of {O(N)}-Symmetric Models},
 journal={Communications in Mathematical Physics}, volume={332}, number={3}, pages={1235--1255}, year={2014},
 doi={10.1007/s00220-014-2075-0}, eprint={1309.2432}, archivePrefix={arXiv}
}

@article{Ginibre,
  author = {Ginibre, J.},
  title = {General formulation of {Griffiths'} inequalities},
  journal = {Communications in Mathematical Physics}, volume = {16}, number = {4}, pages = {310--328}, year = {1970},
  doi = {10.1007/BF01646537}
}

@article{KosterlitzThouless,
 author={Kosterlitz, J. M. and Thouless, D. J.},
 title={Ordering, Metastability and Phase Transitions in Two-Dimensional Systems},
 journal={Journal of Physics C: Solid State Physics}, volume={6}, number={7}, pages={1181--1203}, year={1973},
 doi={10.1088/0022-3719/6/7/010}
}

@article{Kupiainen,
 author={Kupiainen, Antti J.}, title={On the {$1/n$} expansion},
 journal={Communications in Mathematical Physics}, volume={73}, pages={273--294}, year={1980},
 doi={10.1007/BF01197703}
}

@article{MW,
 author={Mermin, N. D. and Wagner, H.},
 title={Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic {Heisenberg} Models},
 journal={Physical Review Letters}, volume={17}, pages={1133--1136}, year={1966},
 doi={10.1103/PhysRevLett.17.1133}
}

@article{McBryanSpencer,
 author={McBryan, Oliver A. and Spencer, Thomas},
 title={On the Decay of Correlations in {SO(n)}-Symmetric Ferromagnets},
 journal={Communications in Mathematical Physics}, volume={53}, pages={299--302}, year={1977},
 doi={10.1007/BF01609854}
}

@article{Mermin1967,
 author={Mermin, N. D.}, title={Absence of Ordering in Certain Classical Systems},
 journal={Journal of Mathematical Physics}, volume={8}, number={5}, pages={1061--1064}, year={1967},
 doi={10.1063/1.1705316}
}

@article{PatrascioiuSeiler,
 author={Patrascioiu, Adrian and Seiler, Erhard},
 title={Percolation and the existence of a soft phase in the classical {Heisenberg} model},
 journal={Journal of Statistical Physics}, volume={106}, pages={811--826}, year={2002},
 eprint={hep-th/0011199}, archivePrefix={arXiv}
}

@article{Polyakov,
  author = {Polyakov, Alexander M.},
  title = {Interaction of {Goldstone} particles in two dimensions. Applications to ferromagnets and massive {Yang--Mills} fields},
  journal = {Physics Letters B}, volume = {59}, pages = {79--81}, year = {1975},
  doi = {10.1016/0370-2693(75)90161-6}
}

@article{Wolff,
  author = {Wolff, Ulli},
  title = {Collective {Monte Carlo} updating for spin systems},
  journal = {Physical Review Letters}, volume = {62}, number = {4}, pages = {361--364}, year = {1989},
  doi = {10.1103/PhysRevLett.62.361}
}