{"id":"https://openalex.org/W1501519002","doi":null,"title":"Rescaling Constraints, BRST Methods, and Refined Algebraic Quantisation","display_name":"Rescaling Constraints, BRST Methods, and Refined Algebraic Quantisation","publication_year":2012,"publication_date":"2012-03-15","ids":{"openalex":"https://openalex.org/W1501519002","mag":"1501519002"},"language":"en","primary_location":{"id":"pmh:oai:uilis.unsyiah.ac.id:6902","doi":null,"is_oa":false,"landing_page_url":"http://uilis.unsyiah.ac.id/opentheses/items/show/6902","pdf_url":null,"source":{"id":"https://openalex.org/S4377196378","display_name":"UPT. Syiah Kuala University Library (Syiah Kuala University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I187494767","host_organization_name":"Universitas Syiah Kuala","host_organization_lineage":["https://openalex.org/I187494767"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Thesis (University of Nottingham only)"},"volume":null,"type":"dissertation","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://eprints.nottingham.ac.uk/12433/1/PhDThesis_EMP_eVersion.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068324208","display_name":"E. Mart\u00ednez-Pascual","orcid":"https://orcid.org/0000-0002-9491-2400","observed_orcids":["https://orcid.org/0000-0002-9491-2400","https://orcid.org/0000-0001-8607-2336"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Eric Mart\u00ednez Pascual","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-8607-2336","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5068324208"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.763700008392334,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.763700008392334,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy 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/T11960","display_name":"Relativity and Gravitational Theory","score":0.07609999924898148,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.07050000131130219,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/constrained-hamiltonian-systems","display_name":"constrained Hamiltonian systems","score":0.9179999828338623},{"id":"https://openalex.org/keywords/group-averaging","display_name":"group averaging","score":0.9769999980926514},{"id":"https://openalex.org/keywords/self-adjoint-extensions","display_name":"self-adjoint extensions","score":0.843999981880188},{"id":"https://openalex.org/keywords/structure-functions","display_name":"structure functions","score":0.7110000252723694}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7964200973510742},{"id":"https://openalex.org/C39366733","wikidata":"https://www.wikidata.org/wiki/Q2752849","display_name":"BRST quantization","level":3,"score":0.5031341910362244},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.5031303763389587},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.450735479593277},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.44996756315231323},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4472917318344116},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.4410473108291626},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3290930986404419},{"id":"https://openalex.org/C181830111","wikidata":"https://www.wikidata.org/wiki/Q214850","display_name":"Gauge theory","level":2,"score":0.3122018575668335},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.18605923652648926},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11967813968658447},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10502886772155762}],"mesh":[],"locations_count":5,"locations":[{"id":"pmh:oai:uilis.unsyiah.ac.id:6902","doi":null,"is_oa":false,"landing_page_url":"http://uilis.unsyiah.ac.id/opentheses/items/show/6902","pdf_url":null,"source":{"id":"https://openalex.org/S4377196378","display_name":"UPT. Syiah Kuala University Library (Syiah Kuala University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I187494767","host_organization_name":"Universitas Syiah Kuala","host_organization_lineage":["https://openalex.org/I187494767"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Thesis (University of Nottingham only)"},{"id":"pmh:oai:eprints.nottingham.ac.uk:12433","doi":null,"is_oa":true,"landing_page_url":"https://eprints.nottingham.ac.uk/12433/1/PhDThesis_EMP_eVersion.pdf","pdf_url":"http://eprints.nottingham.ac.uk/12433/1/PhDThesis_EMP_eVersion.pdf","source":{"id":"https://openalex.org/S4306402014","display_name":"Nottingham ePrints (University of Nottingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I142263535","host_organization_name":"University of Nottingham","host_organization_lineage":["https://openalex.org/I142263535"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Thesis (University of Nottingham only)"},{"id":"pmh:oai:repository.nottingham.ac.uk:123456789/47008","doi":null,"is_oa":true,"landing_page_url":"https://repository.nottingham.ac.uk/handle/123456789/47008","pdf_url":"https://repository.nottingham.ac.uk/bitstreams/f6875f7c-ab74-4bfd-8695-a9ee8da8c3d2/download","source":{"id":"https://openalex.org/S4306402014","display_name":"Nottingham ePrints (University of Nottingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I142263535","host_organization_name":"University of Nottingham","host_organization_lineage":["https://openalex.org/I142263535"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"ethesis"},{"id":"pmh:hdl:10068/996808","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/10068/996808","pdf_url":null,"source":{"id":"https://openalex.org/S4377196900","display_name":"OpenGrey (Institut de l'Information Scientifique et Technique)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1295345811","host_organization_name":"Institut de l'Information Scientifique et Technique","host_organization_lineage":["https://openalex.org/I1295345811"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"U - Thesis"},{"id":"mag:1501519002","doi":null,"is_oa":false,"landing_page_url":"http://eprints.nottingham.ac.uk/12433/1/PhDThesis_EMP_eVersion.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:eprints.nottingham.ac.uk:12433","doi":null,"is_oa":true,"landing_page_url":"https://eprints.nottingham.ac.uk/12433/1/PhDThesis_EMP_eVersion.pdf","pdf_url":"http://eprints.nottingham.ac.uk/12433/1/PhDThesis_EMP_eVersion.pdf","source":{"id":"https://openalex.org/S4306402014","display_name":"Nottingham ePrints (University of Nottingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I142263535","host_organization_name":"University of Nottingham","host_organization_lineage":["https://openalex.org/I142263535"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Thesis (University of Nottingham only)"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320301","display_name":"European Science Foundation","ror":"https://ror.org/04esata81"},{"id":"https://openalex.org/F4320321739","display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda","ror":"https://ror.org/059ex5q34"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1501519002.pdf","grobid_xml":"https://content.openalex.org/works/W1501519002.grobid-xml"},"referenced_works_count":174,"referenced_works":["https://openalex.org/W135102837","https://openalex.org/W145593370","https://openalex.org/W194875375","https://openalex.org/W576074149","https://openalex.org/W619410920","https://openalex.org/W648698604","https://openalex.org/W1025992952","https://openalex.org/W1489220949","https://openalex.org/W1499035098","https://openalex.org/W1522742107","https://openalex.org/W1546551252","https://openalex.org/W1551148884","https://openalex.org/W1552736770","https://openalex.org/W1557324374","https://openalex.org/W1564331950","https://openalex.org/W1569339351","https://openalex.org/W1577258119","https://openalex.org/W1580334901","https://openalex.org/W1583319952","https://openalex.org/W1586369843","https://openalex.org/W1592958377","https://openalex.org/W1594863241","https://openalex.org/W1604363401","https://openalex.org/W1615402355","https://openalex.org/W1617540117","https://openalex.org/W1644238447","https://openalex.org/W1654687514","https://openalex.org/W1673177227","https://openalex.org/W1677296318","https://openalex.org/W1680579736","https://openalex.org/W1760529770","https://openalex.org/W1964214158","https://openalex.org/W1965548823","https://openalex.org/W1966664699","https://openalex.org/W1967782793","https://openalex.org/W1968137440","https://openalex.org/W1968951583","https://openalex.org/W1973905846","https://openalex.org/W1975888451","https://openalex.org/W1976158242","https://openalex.org/W1976415611","https://openalex.org/W1977683728","https://openalex.org/W1977888909","https://openalex.org/W1978060588","https://openalex.org/W1978654044","https://openalex.org/W1978832443","https://openalex.org/W1979458396","https://openalex.org/W1981311910","https://openalex.org/W1984365890","https://openalex.org/W1984935948","https://openalex.org/W1986204728","https://openalex.org/W1986594852","https://openalex.org/W1987023900","https://openalex.org/W1988598070","https://openalex.org/W1993433573","https://openalex.org/W1994246733","https://openalex.org/W1995841230","https://openalex.org/W1997093580","https://openalex.org/W1997871572","https://openalex.org/W1998288857","https://openalex.org/W1999841156","https://openalex.org/W2000007705","https://openalex.org/W2003533681","https://openalex.org/W2003552254","https://openalex.org/W2003973265","https://openalex.org/W2005196146","https://openalex.org/W2007327869","https://openalex.org/W2007591311","https://openalex.org/W2008608736","https://openalex.org/W2010506218","https://openalex.org/W2011102506","https://openalex.org/W2011306167","https://openalex.org/W2012865100","https://openalex.org/W2012916926","https://openalex.org/W2017097930","https://openalex.org/W2017744049","https://openalex.org/W2018038140","https://openalex.org/W2019465735","https://openalex.org/W2019689013","https://openalex.org/W2020901219","https://openalex.org/W2021626442","https://openalex.org/W2022807843","https://openalex.org/W2025054733","https://openalex.org/W2026169595","https://openalex.org/W2026661162","https://openalex.org/W2030013526","https://openalex.org/W2031665877","https://openalex.org/W2033821302","https://openalex.org/W2038365242","https://openalex.org/W2039680357","https://openalex.org/W2040215324","https://openalex.org/W2040655674","https://openalex.org/W2047791488","https://openalex.org/W2048447773","https://openalex.org/W2048741154","https://openalex.org/W2049527881","https://openalex.org/W2050206614","https://openalex.org/W2051396589","https://openalex.org/W2052959638","https://openalex.org/W2053269679","https://openalex.org/W2053898342","https://openalex.org/W2055366402","https://openalex.org/W2056556362","https://openalex.org/W2057682480","https://openalex.org/W2058182772","https://openalex.org/W2058234651","https://openalex.org/W2058834119","https://openalex.org/W2061620121","https://openalex.org/W2062512625","https://openalex.org/W2065431150","https://openalex.org/W2066642772","https://openalex.org/W2071153125","https://openalex.org/W2072683485","https://openalex.org/W2073992954","https://openalex.org/W2074301715","https://openalex.org/W2074352183","https://openalex.org/W2076152008","https://openalex.org/W2077365799","https://openalex.org/W2078426698","https://openalex.org/W2079593099","https://openalex.org/W2079743720","https://openalex.org/W2081075560","https://openalex.org/W2081796865","https://openalex.org/W2082118678","https://openalex.org/W2083083132","https://openalex.org/W2083145552","https://openalex.org/W2083407626","https://openalex.org/W2084519466","https://openalex.org/W2087209376","https://openalex.org/W2089443912","https://openalex.org/W2089754965","https://openalex.org/W2092389490","https://openalex.org/W2092699188","https://openalex.org/W2094872176","https://openalex.org/W2095279116","https://openalex.org/W2102084712","https://openalex.org/W2106098650","https://openalex.org/W2116840860","https://openalex.org/W2126479355","https://openalex.org/W2126887346","https://openalex.org/W2130581141","https://openalex.org/W2142175688","https://openalex.org/W2142289538","https://openalex.org/W2143328711","https://openalex.org/W2143829950","https://openalex.org/W2144803533","https://openalex.org/W2146983741","https://openalex.org/W2155138778","https://openalex.org/W2156682843","https://openalex.org/W2160234153","https://openalex.org/W2170706425","https://openalex.org/W2225673659","https://openalex.org/W2227286462","https://openalex.org/W2227304090","https://openalex.org/W2314212607","https://openalex.org/W2949551244","https://openalex.org/W2991238502","https://openalex.org/W3038698521","https://openalex.org/W3066283504","https://openalex.org/W3100701428","https://openalex.org/W3101174283","https://openalex.org/W3101857519","https://openalex.org/W3102962527","https://openalex.org/W3104202119","https://openalex.org/W3104611214","https://openalex.org/W3105003838","https://openalex.org/W3105618921","https://openalex.org/W3133809144","https://openalex.org/W3135593729","https://openalex.org/W3140853861","https://openalex.org/W3143815958","https://openalex.org/W3203915275","https://openalex.org/W4243477883","https://openalex.org/W4388397107"],"related_works":["https://openalex.org/W2596544816","https://openalex.org/W3104611214","https://openalex.org/W2157760268","https://openalex.org/W2143328711","https://openalex.org/W2155002381","https://openalex.org/W2994703110","https://openalex.org/W2061620121","https://openalex.org/W7096063819","https://openalex.org/W2073992954","https://openalex.org/W1718617311"],"abstract_inverted_index":{"We":[0],"investigate":[1],"the":[2,31,58,85,98,103,112,115,137,146,150,154,163,167,180,191,213,227,248,260,281,286,292,306],"canonical":[3],"BRST\u2013quantisation":[4],"and":[5,82,153,195,255],"refined":[6,272,300],"algebraic":[7,273,301],"quantisation":[8,119,128,142,277],"within":[9],"a":[10,40,47,74,89,141,177,201,205,233,267],"family":[11,207],"of":[12,50,114,133,136,149,156,166,179,204,208,222,263,294,304],"classically":[13],"equivalent":[14,121],"constrained":[15],"Hamiltonian":[16],"systems":[17,54],"that":[18,43,123,224,259],"are":[19,37,55,188,198,296,311],"related":[20],"to":[21,102,122,131,285,308],"each":[22],"other":[23],"by":[24,39,46,66],"rescaling":[25],"constraints":[26,36,184,223,295],"with":[27,124,236],"nonconstant":[28],"functions":[29,245,290],"on":[30,72,111,190,247],"configuration":[32,250],"space.":[33,170,251],"The":[34,171],"quantum":[35,159],"implemented":[38],"rigging":[41,86,269],"map":[42,87,270],"is":[44,80,120,176],"motivated":[45],"BRST":[48,261],"version":[49,262],"group":[51,104,264],"averaging.":[52],"Two":[53],"considered.":[56],"In":[57,275],"first":[59,282],"one":[60],"we":[61,174,211,257],"avoid":[62],"topological":[63],"built\u2013in":[64],"complications":[65],"considering":[67],"R^4":[68],"as":[69],"phase":[70,192],"space,":[71],"which":[73],"single":[75],"constraint,":[76],"linear":[77,185],"in":[78,186,271,291,299],"momentum":[79],"defined":[81,189],"rescaled.":[83],"Here,":[84],"has":[88,232],"resolution":[90,155],"finer":[91],"than":[92],"what":[93],"can":[94],"be":[95],"extracted":[96],"from":[97,145],"formally":[99],"divergent":[100],"contributions":[101],"averaging":[105,265],"integral.":[106],"Three":[107],"cases":[108,253],"emerge,":[109],"depending":[110,246],"asymptotics":[113],"scaling":[116,209],"function:":[117],"(i)":[118],"identity":[125],"scaling;":[126],"(ii)":[127],"fails,":[129],"owing":[130],"nonexistence":[132],"self\u2013adjoint":[134,147],"extensions":[135],"constraint":[138,151],"operator;":[139],"(iii)":[140],"ambiguity":[143,161],"arises":[144],"extension":[148],"operator,":[152],"this":[157],"purely":[158],"mechanical":[160],"determines":[162],"superselection":[164],"structure":[165,239,244,289],"physical":[168],"Hilbert":[169],"second":[172],"system":[173],"consider":[175],"generalisation":[178],"aforementioned":[181],"model,":[182],"two":[183],"momenta":[187],"space":[193],"R^6":[194],"their":[196],"rescalings":[197],"analysed.":[199],"With":[200],"suitable":[202],"choice":[203],"parametric":[206],"functions,":[210,240],"turn":[212],"unscaled":[214],"abelian":[215,228],"gauge":[216,237],"algebra":[217,221,293],"either":[218],"into":[219],"an":[220],"(1)":[225,254],"keeps":[226],"property,":[229],"or,":[230,241],"(2)":[231,279],"nonunimodular":[234],"behaviour":[235],"invariant":[238],"(3)":[242,310],"contains":[243],"full":[249],"For":[252],"(2),":[256],"show":[258],"defines":[266],"proper":[268],"quantisation.":[274,302],"particular,":[276],"case":[278,309],"becomes":[280],"example":[283],"known":[284],"author":[287],"where":[288],"successfully":[297],"handled":[298],"Prospects":[303],"generalising":[305],"analysis":[307],"discussed.":[312]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}