{"id":"https://openalex.org/W7225275372","doi":"https://doi.org/10.48550/arxiv.2611.05284","title":"Crossover duality for the quantum long-range Ising chain: perturbation theory around the short-range endpoint and a DMRG test","display_name":"Crossover duality for the quantum long-range Ising chain: perturbation theory around the short-range endpoint and a DMRG test","publication_year":2026,"publication_date":"2026-11-03","ids":{"openalex":"https://openalex.org/W7225275372","doi":"https://doi.org/10.48550/arxiv.2611.05284"},"language":"en","primary_location":{"id":"doi:10.48550/arxiv.2611.05284","doi":"https://doi.org/10.48550/arxiv.2611.05284","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2611.05284","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2611.05284","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029746380","display_name":"Junchen Rong","orcid":"https://orcid.org/0000-0001-5749-1574","observed_orcids":["https://orcid.org/0000-0001-5749-1574"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Rong, Junchen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5029746380"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.9872999787330627,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.9872999787330627,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.008899999782443047,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.0005000000237487257,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/transverse-field-ising-model","display_name":"transverse-field Ising model","score":0.925000011920929},{"id":"https://openalex.org/keywords/crossover","display_name":"crossover","score":0.3490000069141388},{"id":"https://openalex.org/keywords/conformal-field-theory","display_name":"conformal field theory","score":0.7059999704360962},{"id":"https://openalex.org/keywords/dynamical-exponent","display_name":"dynamical exponent","score":0.9639999866485596},{"id":"https://openalex.org/keywords/conformal-perturbation-theory","display_name":"conformal perturbation theory","score":0.8320000171661377},{"id":"https://openalex.org/keywords/gaussian-random-fields","display_name":"Gaussian random fields","score":0.30399999022483826},{"id":"https://openalex.org/keywords/density-matrix-renormalization-group","display_name":"density matrix renormalization group","score":0.5920000076293945},{"id":"https://openalex.org/keywords/finite-size-corrections","display_name":"finite-size corrections","score":0.7749999761581421}],"concepts":[{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.781499981880188},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5985000133514404},{"id":"https://openalex.org/C122507166","wikidata":"https://www.wikidata.org/wiki/Q628906","display_name":"Crossover","level":2,"score":0.5748999714851379},{"id":"https://openalex.org/C54613284","wikidata":"https://www.wikidata.org/wiki/Q1191271","display_name":"Conformal field theory","level":3,"score":0.46129998564720154},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4602000117301941},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4528999924659729},{"id":"https://openalex.org/C174256460","wikidata":"https://www.wikidata.org/wiki/Q911364","display_name":"Perturbation theory (quantum mechanics)","level":2,"score":0.44589999318122864},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4368000030517578},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.4251999855041504},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3776000142097473},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.3521000146865845},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.35179999470710754},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.3334999978542328},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.3310999870300293},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.328000009059906},{"id":"https://openalex.org/C29547527","wikidata":"https://www.wikidata.org/wiki/Q5259335","display_name":"Density matrix renormalization group","level":3,"score":0.3127000033855438},{"id":"https://openalex.org/C68532491","wikidata":"https://www.wikidata.org/wiki/Q1203669","display_name":"Renormalization group","level":2,"score":0.3086000084877014},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3068999946117401},{"id":"https://openalex.org/C164154869","wikidata":"https://www.wikidata.org/wiki/Q901927","display_name":"Critical exponent","level":3,"score":0.304500013589859},{"id":"https://openalex.org/C196298200","wikidata":"https://www.wikidata.org/wiki/Q577705","display_name":"Critical point (mathematics)","level":2,"score":0.2921000123023987},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.29190000891685486},{"id":"https://openalex.org/C173848574","wikidata":"https://www.wikidata.org/wiki/Q3507963","display_name":"Conformal symmetry","level":3,"score":0.2662999927997589},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.2639000117778778},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.26100000739097595},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.25600001215934753},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.25029999017715454}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2611.05284","doi":"https://doi.org/10.48550/arxiv.2611.05284","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2611.05284","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2611.05284","doi":"https://doi.org/10.48550/arxiv.2611.05284","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2611.05284","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4414763080","https://openalex.org/W2605411073","https://openalex.org/W4410590345","https://openalex.org/W2603343340","https://openalex.org/W2085752480","https://openalex.org/W7223067147","https://openalex.org/W1981687863","https://openalex.org/W1683545966","https://openalex.org/W2012797215","https://openalex.org/W4399492516"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,51,88,118],"weakly":[3],"coupled":[4,30],"description":[5],"of":[6,82,108],"the":[7,19,39,56,62,112],"long-range":[8,41],"transverse-field":[9],"Ising":[10,25,42],"chain":[11],"near":[12],"its":[13],"short-range":[14],"crossover":[15,113],"at":[16,115,122],"$s_*=7/4$,":[17],"where":[18],"couplings":[20],"decay":[21],"as":[22],"$r^{-1-s}$.":[23],"The":[24,47],"conformal":[26],"field":[27,35],"theory":[28,69],"is":[29],"to":[31,44,58,84],"an":[32],"instantaneous":[33],"Gaussian":[34],"through":[36],"$\u03c3\u03c7$,":[37],"extending":[38],"classical":[40],"duality":[43],"quantum":[45],"chains.":[46],"equal-time":[48],"interaction":[49],"generates":[50],"stress-tensor":[52],"deformation":[53],"that":[54],"causes":[55],"velocity":[57],"run":[59],"and":[60,73,96,105,117,125],"renormalizes":[61],"dynamical":[63,106],"critical":[64],"exponent":[65],"$z$.":[66],"Conformal":[67],"perturbation":[68],"gives":[70],"$z=1-0.720\\,\u03b4+O(\u03b4^2)$,":[71],"$1/\u03bd=(1+z)/2+O(\u03b4^2)$,":[72],"$\u03c9=\u03b4+O(\u03b4^2)$,":[74],"with":[75],"$\u03b4=s_*-s$.":[76],"DMRG":[77],"calculations":[78],"on":[79],"periodic":[80],"chains":[81],"up":[83],"$128$":[85],"sites":[86],"provide":[87],"consistency":[89],"test":[90],"using":[91],"theoretical":[92],"inputs":[93],"for":[94,100],"$1/\u03bd$":[95],"$\u03c9$.":[97],"After":[98],"accounting":[99],"slow":[101],"finite-size":[102],"corrections,":[103],"static":[104],"estimates":[107],"$z$":[109],"agree,":[110],"supporting":[111],"expansion":[114],"$s=1.5$":[116],"two-sided":[119],"Pad\u00e9":[120],"interpolation":[121],"$s=1$,":[123],"$1.25$,":[124],"$1.5$.":[126]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-11-05T00:00:00"}
