{"id":"https://openalex.org/W7009917126","doi":null,"title":"Fields and gravitational theories: on the role of the Weyl symmetry and the trace anomaly","display_name":"Fields and gravitational theories: on the role of the Weyl symmetry and the trace anomaly","publication_year":2025,"publication_date":"2025-03-05","ids":{"openalex":"https://openalex.org/W7009917126"},"language":"en","primary_location":{"id":"pmh:oai:etd.adm.unipi.it:etd-02272025-114217","doi":null,"is_oa":true,"landing_page_url":"https://etd.adm.unipi.it/theses/available/etd-02272025-114217/","pdf_url":"https://etd.adm.unipi.it/theses/available/etd-02272025-114217/unrestricted/PhD_thesis.pdf","source":{"id":"https://openalex.org/S4306401800","display_name":"Electronic Theses and Dissertations Repository (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://etd.adm.unipi.it/theses/available/etd-02272025-114217/","raw_type":"text"},"volume":null,"type":"dissertation","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://etd.adm.unipi.it/theses/available/etd-02272025-114217/unrestricted/PhD_thesis.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058471977","display_name":"Gregorio Paci","orcid":"https://orcid.org/0000-0002-6887-6629","observed_orcids":["https://orcid.org/0000-0002-6887-6629"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"PACI, GREGORIO","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5058471977"],"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":true,"primary_topic":{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.46389999985694885,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.46389999985694885,"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":0.40139999985694885,"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.061000000685453415,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/weyl-symmetry","display_name":"Weyl symmetry","score":0.9800000190734863},{"id":"https://openalex.org/keywords/trace-anomaly","display_name":"trace anomaly","score":0.9919999837875366},{"id":"https://openalex.org/keywords/metric-affine-gravity","display_name":"metric-affine gravity","score":0.8190000057220459},{"id":"https://openalex.org/keywords/higher-derivative-gravity","display_name":"higher-derivative gravity","score":0.800000011920929},{"id":"https://openalex.org/keywords/torsion","display_name":"torsion","score":0.6919999718666077},{"id":"https://openalex.org/keywords/cohomological-methods","display_name":"cohomological methods","score":0.7319999933242798},{"id":"https://openalex.org/keywords/non-riemannian-geometry","display_name":"non-Riemannian geometry","score":0.722000002861023},{"id":"https://openalex.org/keywords/conformal-field-theory","display_name":"conformal field theory","score":0.4699999988079071},{"id":"https://openalex.org/keywords/even-dimensions","display_name":"even dimensions","score":0.39899998903274536},{"id":"https://openalex.org/keywords/gauge-fixing","display_name":"gauge fixing","score":0.5149999856948853}],"concepts":[{"id":"https://openalex.org/C20167640","wikidata":"https://www.wikidata.org/wiki/Q5160243","display_name":"Conformal anomaly","level":4,"score":0.8443999886512756},{"id":"https://openalex.org/C53216431","wikidata":"https://www.wikidata.org/wiki/Q3997736","display_name":"Weyl transformation","level":4,"score":0.7335000038146973},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.5853999853134155},{"id":"https://openalex.org/C173848574","wikidata":"https://www.wikidata.org/wiki/Q3507963","display_name":"Conformal symmetry","level":3,"score":0.5264999866485596},{"id":"https://openalex.org/C54613284","wikidata":"https://www.wikidata.org/wiki/Q1191271","display_name":"Conformal field theory","level":3,"score":0.51419997215271},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5116000175476074},{"id":"https://openalex.org/C24531701","wikidata":"https://www.wikidata.org/wiki/Q5160256","display_name":"Conformal gravity","level":4,"score":0.4731999933719635},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.46799999475479126},{"id":"https://openalex.org/C12997251","wikidata":"https://www.wikidata.org/wiki/Q567560","display_name":"Anomaly (physics)","level":2,"score":0.45489999651908875},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.4140999913215637},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.41370001435279846},{"id":"https://openalex.org/C155765329","wikidata":"https://www.wikidata.org/wiki/Q7243128","display_name":"Primary field","level":4,"score":0.41280001401901245},{"id":"https://openalex.org/C77461463","wikidata":"https://www.wikidata.org/wiki/Q7827201","display_name":"Torsion (gastropod)","level":2,"score":0.3930000066757202},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.38909998536109924},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.36079999804496765},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.3578000068664551},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.35089999437332153},{"id":"https://openalex.org/C125669323","wikidata":"https://www.wikidata.org/wiki/Q513175","display_name":"Conformal geometry","level":4,"score":0.34439998865127563},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3411000072956085},{"id":"https://openalex.org/C120926454","wikidata":"https://www.wikidata.org/wiki/Q6883945","display_name":"Mixed anomaly","level":5,"score":0.33009999990463257},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.3255999982357025},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.31209999322891235},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.2883000075817108},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.28459998965263367},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2799000144004822},{"id":"https://openalex.org/C8492334","wikidata":"https://www.wikidata.org/wiki/Q7269100","display_name":"Quantum spacetime","level":4,"score":0.27709999680519104},{"id":"https://openalex.org/C44306375","wikidata":"https://www.wikidata.org/wiki/Q902019","display_name":"Symmetry group","level":2,"score":0.27300000190734863},{"id":"https://openalex.org/C14257148","wikidata":"https://www.wikidata.org/wiki/Q558066","display_name":"Gravitational field","level":2,"score":0.27300000190734863},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.25780001282691956},{"id":"https://openalex.org/C2779672364","wikidata":"https://www.wikidata.org/wiki/Q301122","display_name":"Conformal group","level":4,"score":0.25380000472068787}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:etd.adm.unipi.it:etd-02272025-114217","doi":null,"is_oa":true,"landing_page_url":"https://etd.adm.unipi.it/theses/available/etd-02272025-114217/","pdf_url":"https://etd.adm.unipi.it/theses/available/etd-02272025-114217/unrestricted/PhD_thesis.pdf","source":{"id":"https://openalex.org/S4306401800","display_name":"Electronic Theses and Dissertations Repository (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://etd.adm.unipi.it/theses/available/etd-02272025-114217/","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:etd.adm.unipi.it:etd-02272025-114217","doi":null,"is_oa":true,"landing_page_url":"https://etd.adm.unipi.it/theses/available/etd-02272025-114217/","pdf_url":"https://etd.adm.unipi.it/theses/available/etd-02272025-114217/unrestricted/PhD_thesis.pdf","source":{"id":"https://openalex.org/S4306401800","display_name":"Electronic Theses and Dissertations Repository (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://etd.adm.unipi.it/theses/available/etd-02272025-114217/","raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7009917126.pdf","grobid_xml":"https://content.openalex.org/works/W7009917126.grobid-xml"},"referenced_works_count":115,"referenced_works":["https://openalex.org/W1501586179","https://openalex.org/W1501786488","https://openalex.org/W1544061985","https://openalex.org/W1553350933","https://openalex.org/W1605422899","https://openalex.org/W1822494260","https://openalex.org/W1895947806","https://openalex.org/W1911123770","https://openalex.org/W1966018632","https://openalex.org/W1981396023","https://openalex.org/W1981920336","https://openalex.org/W1984511784","https://openalex.org/W1994548965","https://openalex.org/W1995280289","https://openalex.org/W1996694976","https://openalex.org/W2008247446","https://openalex.org/W2008721085","https://openalex.org/W2013353601","https://openalex.org/W2014702799","https://openalex.org/W2014758694","https://openalex.org/W2015938307","https://openalex.org/W2026560817","https://openalex.org/W2035873690","https://openalex.org/W2036147383","https://openalex.org/W2036909316","https://openalex.org/W2039722035","https://openalex.org/W2049773460","https://openalex.org/W2051593263","https://openalex.org/W2051977486","https://openalex.org/W2059555232","https://openalex.org/W2060837950","https://openalex.org/W2067477988","https://openalex.org/W2075181998","https://openalex.org/W2077340910","https://openalex.org/W2077443382","https://openalex.org/W2078025217","https://openalex.org/W2084068075","https://openalex.org/W2091553331","https://openalex.org/W2108459550","https://openalex.org/W2108734736","https://openalex.org/W2114878946","https://openalex.org/W2117158552","https://openalex.org/W2130702733","https://openalex.org/W2144661572","https://openalex.org/W2149745531","https://openalex.org/W2164351285","https://openalex.org/W2169694578","https://openalex.org/W2259250832","https://openalex.org/W2276786875","https://openalex.org/W2300795328","https://openalex.org/W2303110512","https://openalex.org/W2529954003","https://openalex.org/W2614090973","https://openalex.org/W2626837789","https://openalex.org/W2793332949","https://openalex.org/W2803250274","https://openalex.org/W2893705733","https://openalex.org/W2898206882","https://openalex.org/W2902594154","https://openalex.org/W2914106757","https://openalex.org/W2918015993","https://openalex.org/W2962807533","https://openalex.org/W2965235852","https://openalex.org/W2972144220","https://openalex.org/W2988093037","https://openalex.org/W2993527879","https://openalex.org/W3007724664","https://openalex.org/W3014855805","https://openalex.org/W3022829867","https://openalex.org/W3023209178","https://openalex.org/W3024759069","https://openalex.org/W3025756325","https://openalex.org/W3098924767","https://openalex.org/W3138098157","https://openalex.org/W3154800582","https://openalex.org/W3159219153","https://openalex.org/W3194732522","https://openalex.org/W3202801734","https://openalex.org/W3203711258","https://openalex.org/W3206795552","https://openalex.org/W3216325976","https://openalex.org/W4200629732","https://openalex.org/W4206953050","https://openalex.org/W4221165071","https://openalex.org/W4225717335","https://openalex.org/W4235359194","https://openalex.org/W4281795615","https://openalex.org/W4306755717","https://openalex.org/W4308992336","https://openalex.org/W4317937852","https://openalex.org/W4321600157","https://openalex.org/W4360848082","https://openalex.org/W4362641170","https://openalex.org/W4367857148","https://openalex.org/W4377289892","https://openalex.org/W4380854173","https://openalex.org/W4385216361","https://openalex.org/W4385318695","https://openalex.org/W4385341491","https://openalex.org/W4385828850","https://openalex.org/W4386086419","https://openalex.org/W4386730385","https://openalex.org/W4387389742","https://openalex.org/W4389118346","https://openalex.org/W4390274652","https://openalex.org/W4391776310","https://openalex.org/W4391837010","https://openalex.org/W4393076785","https://openalex.org/W4394659959","https://openalex.org/W4400267459","https://openalex.org/W4400491786","https://openalex.org/W4400682439","https://openalex.org/W4400926923","https://openalex.org/W4405984393","https://openalex.org/W4406203684"],"related_works":["https://openalex.org/W7035960330","https://openalex.org/W2752410853","https://openalex.org/W1987112420","https://openalex.org/W4416197080","https://openalex.org/W1990252403","https://openalex.org/W4233243766","https://openalex.org/W1974840610","https://openalex.org/W1970179815","https://openalex.org/W2523375344","https://openalex.org/W2767330721"],"abstract_inverted_index":{"In":[0],"this":[1,43],"thesis,":[2],"we":[3,23,155,185],"explore":[4,269],"both":[5,256],"the":[6,15,35,45,49,57,66,85,92,102,107,118,139,150,152,157,160,168,178,181,190,195,205,214,257,266,270,292,302,323,342,363,375,390,399],"classical":[7,26],"and":[8,19,33,100,135,166,199,210,237,265,295,301,336,349,388,413],"quantum":[9,39,52,153],"consequences":[10],"of":[11,17,51,87,105,109,117,149,159,189,192,216,235],"Weyl":[12,111,119,197],"symmetry":[13],"in":[14,29,48,64,121,171,213,218,223],"contexts":[16],"Riemannian":[18,123],"non-Riemannian":[20],"geometries.In":[21],"particular,":[22],"delve":[24],"into":[25],"Weyl-invariant":[27],"theories":[28],"a":[30,61,96,122,145,224,263,296],"metric-affine":[31,98],"setting":[32],"examine":[34],"arguably":[36],"most":[37,206,274],"significant":[38],"phenomenon":[40],"associated":[41],"with":[42,291],"symmetry:":[44],"conformal":[46,58,88,134,169],"anomaly.Indeed,":[47],"context":[50],"fields":[53],"on":[54],"curved":[55],"backgrounds,":[56],"anomaly":[59,170,193],"plays":[60],"crucial":[62],"role":[63],"studying":[65],"renormalized":[67],"generating":[68],"functional":[69],"for":[70,90,248,282,299,341,367,371,378,389,397],"one-particle":[71],"irreducible":[72],"correlation":[73],"functions.This":[74],"work":[75],"presents":[76],"some":[77,115],"new":[78],"results":[79],"related":[80],"to":[81,164,194,203,243,260,268,279,285,309,317,322,356,362,405,410],"these":[82,127],"topics.We":[83],"complete":[84],"classification":[86],"actions":[89,212],"all":[91],"tensors":[93],"species":[94],"within":[95],"general":[97,207],"framework,":[99],"investigate":[101],"physical":[103],"implications":[104],"relaxing":[106],"requirement":[108],"full":[110],"invariance":[112],"by":[113],"considering":[114,175],"substructures":[116,128],"group":[120],"setting.Among":[124],"other":[125],"results,":[126],"reveal":[129],"an":[130,187,232,311],"intriguing":[131],"connection":[132],"between":[133],"higherderivative":[136],"gravity,":[137],"where":[138,177],"latter":[140],"can":[141],"be":[142],"viewed":[143],"as":[144,262],"partially":[146],"gauge-fixed":[147],"version":[148],"former.On":[151],"side,":[154],"systematize":[156],"use":[158],"ambient":[161],"space":[162],"formalism":[163],"construct":[165],"integrate":[167],"each":[172],"even":[173,373],"dimension":[174],"scenarios":[176],"metric":[179],"is":[180,383],"only":[182,385],"background":[183],"field.Additionally,":[184],"propose":[186],"extension":[188],"concept":[191],"aforementioned":[196],"subgroups,":[198],"employ":[200],"cohomological":[201],"methods":[202],"derive":[204],"trace":[208],"anomalies":[209],"anomalous":[211],"presence":[215],"torsion":[217],"d":[219],"=":[220],"2,":[221],"4":[222],"completely":[225],"model-independent":[226],"way.i":[227],"This":[228],"journey":[229],"has":[230],"been":[231,353],"extraordinary":[233],"experience":[234],"personal":[236],"professional":[238],"growth.I":[239],"am":[240],"very":[241],"grateful":[242],"my":[244,319,337,407,411],"supervisor":[245],"Omar":[246],"Zanusso":[247],"his":[249],"constant":[250],"guidance":[251],"while":[252],"still":[253],"granting":[254],"me":[255,284,380],"necessary":[258],"independence":[259],"improve":[261],"physicist":[264],"freedom":[267],"topics":[271],"I":[272,403],"was":[273,306],"passionate":[275],"about.I":[276],"also":[277,315],"want":[278,404],"thank":[280,359],"him":[281],"introducing":[283],"those":[286],"two":[287],"unforgettable":[288],"characters-the":[289],"guy":[290],"torn-up":[293],"karategi":[294],"fierce":[297],"passion":[298],"brawling,":[300],"strawberry-loving":[303],"girl":[304],"who":[305],"so":[307],"determined":[308],"conquer":[310],"impossible":[312],"mountain.I":[313],"would":[314],"like":[316,354],"express":[318],"heartfelt":[320],"gratitude":[321],"entire":[324],"Ph.D.":[325],"crew,":[326],"especially":[327],"Dario,":[328],"Berio,":[329],"Giovanni,":[330],"Fra":[331],"Bert,":[332],"Peppe":[333],"Clemente,":[334],"Lorenzo,":[335],"office":[338],"mate":[339],"Matteo,":[340],"big":[343],"laughs,":[344],"innumerable":[345],"pints,":[346],"encouragement,":[347],"gaming":[348],"music":[350],"sessions.You":[351],"have":[352],"family":[355,412],"me.A":[357],"special":[358],"you":[360,396,401],"goes":[361],"Bibi,":[364],"aka":[365],"Silvia,":[366],"always":[368],"being":[369,398],"there":[370],"me,":[372],"during":[374],"toughest":[376],"moments,":[377],"reminding":[379],"that":[381],"life":[382],"not":[384],"about":[386],"work,":[387],"countless":[391],"wonderful":[392],"moments":[393],"we've":[394],"shared.Thank":[395],"way":[400],"are.Finally,":[402],"extend":[406],"deepest":[408],"thanks":[409]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2025-10-10T00:00:00"}
