Evidence for Supersymmetry in the Random-Field Ising Model at D=5

Evidence for Supersymmetry in the Random-Field Ising Model at D=5. Fytas, N. G., Martín-Mayor, V., Parisi, G., Picco, M., & Sourlas, N. Physical Review Letters, 122(24):240603, jun, 2019.

Paper doi abstract bibtex

We provide a non-trivial test of supersymmetry in the random-field Ising model at five spatial dimensions, by means of extensive zero-temperature numerical simulations. Indeed, supersymmetry relates correlation functions in a D-dimensional disordered system with some other correlation functions in a D-2 clean system. We first show how to check these relationships in a finite-size scaling calculation, and then perform a high-accuracy test. While the supersymmetric predictions are satisfied even to our high-accuracy at D=5, they fail to describe our results at D=4.

@article{Fytas2019,
abstract = {We provide a non-trivial test of supersymmetry in the random-field Ising model at five spatial dimensions, by means of extensive zero-temperature numerical simulations. Indeed, supersymmetry relates correlation functions in a D-dimensional disordered system with some other correlation functions in a D-2 clean system. We first show how to check these relationships in a finite-size scaling calculation, and then perform a high-accuracy test. While the supersymmetric predictions are satisfied even to our high-accuracy at D=5, they fail to describe our results at D=4.},
archivePrefix = {arXiv},
arxivId = {1901.08473},
author = {Fytas, Nikolaos G. and Mart{\'{i}}n-Mayor, V{\'{i}}ctor and Parisi, Giorgio and Picco, Marco and Sourlas, Nicolas},
doi = {10.1103/PhysRevLett.122.240603},
eprint = {1901.08473},
file = {:Users/marco/Library/Application Support/Mendeley Desktop/Downloaded/Fytas et al. - 2019 - Evidence for Supersymmetry in the Random-Field Ising Model at D=5.pdf:pdf;:Users/marco/Library/Application Support/Mendeley Desktop/Downloaded/Fytas et al. - 2019 - Evidence for Supersymmetry in the Random-Field Ising Model at D=5(2).pdf:pdf},
issn = {0031-9007},
journal = {Physical Review Letters},
month = {jun},
number = {24},
pages = {240603},
title = {{Evidence for Supersymmetry in the Random-Field Ising Model at D=5}},
url = {http://arxiv.org/abs/1901.08473 http://dx.doi.org/10.1103/PhysRevLett.122.240603 https://link.aps.org/doi/10.1103/PhysRevLett.122.240603},
volume = {122},
year = {2019}
}

Downloads: 0

{"_id":"xAoG4w75fopiTjkg6","bibbaseid":"fytas-martinmayor-parisi-picco-sourlas-evidenceforsupersymmetryintherandomfieldisingmodelatd5-2019","downloads":1,"creationDate":"2019-01-25T12:11:52.047Z","title":"Evidence for Supersymmetry in the Random-Field Ising Model at D=5","author_short":["Fytas, N. G.","Martín-Mayor, V.","Parisi, G.","Picco, M.","Sourlas, N."],"year":2019,"bibtype":"article","biburl":"www.lpthe.jussieu.fr/~picco/MPP.bib","bibdata":{"bibtype":"article","type":"article","abstract":"We provide a non-trivial test of supersymmetry in the random-field Ising model at five spatial dimensions, by means of extensive zero-temperature numerical simulations. Indeed, supersymmetry relates correlation functions in a D-dimensional disordered system with some other correlation functions in a D-2 clean system. We first show how to check these relationships in a finite-size scaling calculation, and then perform a high-accuracy test. While the supersymmetric predictions are satisfied even to our high-accuracy at D=5, they fail to describe our results at D=4.","archiveprefix":"arXiv","arxivid":"1901.08473","author":[{"propositions":[],"lastnames":["Fytas"],"firstnames":["Nikolaos","G."],"suffixes":[]},{"propositions":[],"lastnames":["Martín-Mayor"],"firstnames":["Víctor"],"suffixes":[]},{"propositions":[],"lastnames":["Parisi"],"firstnames":["Giorgio"],"suffixes":[]},{"propositions":[],"lastnames":["Picco"],"firstnames":["Marco"],"suffixes":[]},{"propositions":[],"lastnames":["Sourlas"],"firstnames":["Nicolas"],"suffixes":[]}],"doi":"10.1103/PhysRevLett.122.240603","eprint":"1901.08473","file":":Users/marco/Library/Application Support/Mendeley Desktop/Downloaded/Fytas et al. - 2019 - Evidence for Supersymmetry in the Random-Field Ising Model at D=5.pdf:pdf;:Users/marco/Library/Application Support/Mendeley Desktop/Downloaded/Fytas et al. - 2019 - Evidence for Supersymmetry in the Random-Field Ising Model at D=5(2).pdf:pdf","issn":"0031-9007","journal":"Physical Review Letters","month":"jun","number":"24","pages":"240603","title":"Evidence for Supersymmetry in the Random-Field Ising Model at D=5","url":"http://arxiv.org/abs/1901.08473 http://dx.doi.org/10.1103/PhysRevLett.122.240603 https://link.aps.org/doi/10.1103/PhysRevLett.122.240603","volume":"122","year":"2019","bibtex":"@article{Fytas2019,\nabstract = {We provide a non-trivial test of supersymmetry in the random-field Ising model at five spatial dimensions, by means of extensive zero-temperature numerical simulations. Indeed, supersymmetry relates correlation functions in a D-dimensional disordered system with some other correlation functions in a D-2 clean system. We first show how to check these relationships in a finite-size scaling calculation, and then perform a high-accuracy test. While the supersymmetric predictions are satisfied even to our high-accuracy at D=5, they fail to describe our results at D=4.},\narchivePrefix = {arXiv},\narxivId = {1901.08473},\nauthor = {Fytas, Nikolaos G. and Mart{\\'{i}}n-Mayor, V{\\'{i}}ctor and Parisi, Giorgio and Picco, Marco and Sourlas, Nicolas},\ndoi = {10.1103/PhysRevLett.122.240603},\neprint = {1901.08473},\nfile = {:Users/marco/Library/Application Support/Mendeley Desktop/Downloaded/Fytas et al. - 2019 - Evidence for Supersymmetry in the Random-Field Ising Model at D=5.pdf:pdf;:Users/marco/Library/Application Support/Mendeley Desktop/Downloaded/Fytas et al. - 2019 - Evidence for Supersymmetry in the Random-Field Ising Model at D=5(2).pdf:pdf},\nissn = {0031-9007},\njournal = {Physical Review Letters},\nmonth = {jun},\nnumber = {24},\npages = {240603},\ntitle = {{Evidence for Supersymmetry in the Random-Field Ising Model at D=5}},\nurl = {http://arxiv.org/abs/1901.08473 http://dx.doi.org/10.1103/PhysRevLett.122.240603 https://link.aps.org/doi/10.1103/PhysRevLett.122.240603},\nvolume = {122},\nyear = {2019}\n}\n","author_short":["Fytas, N. G.","Martín-Mayor, V.","Parisi, G.","Picco, M.","Sourlas, N."],"key":"Fytas2019","id":"Fytas2019","bibbaseid":"fytas-martinmayor-parisi-picco-sourlas-evidenceforsupersymmetryintherandomfieldisingmodelatd5-2019","role":"author","urls":{"Paper":"http://arxiv.org/abs/1901.08473 http://dx.doi.org/10.1103/PhysRevLett.122.240603 https://link.aps.org/doi/10.1103/PhysRevLett.122.240603"},"metadata":{"authorlinks":{"picco, m":"https://www.lpthe.jussieu.fr/~picco/pub.html"}}},"search_terms":["evidence","supersymmetry","random","field","ising","model","fytas","martín-mayor","parisi","picco","sourlas"],"keywords":[],"authorIDs":["5a7b1e77dbef4a8015000059","5de8035c9b61e8de010000b7","5dee16bd584fb4df01000176","5e133b06ab1007de01000132","5e1c6122e556c6de010001ce","5e1f2bf207379ade01000098","5e21b72a96aea7de010000bc","5e45745349667cde010001a4","5e554006ca58a8df01000163","5e66568b46e828de0100007e","9gedxtRTsdnXYhnrn","RF3GRvJWcPEqESFNZ","RaD4szsMQZWLzQ383","YzxySNRwE6xKMgSmj","g7KSAn43BPPpgBhzg","g9vsjkFHhZbHvQX5o","hxfMryqeovyEobPCx","iLC9hNhQ2RfLZJiqa"],"dataSources":["8TDx7kHuMzkB9rP5g","M2GXsKxREHJ7bkyek"]}