Renormalization and the space-time dimension View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1974-02

AUTHORS

P. Butera, G. M. Cicuta, E. Montaldi

ABSTRACT

A renormalization procedure is developed for arbitrary graphs regularized by analytic interpolation in the space-time dimension. This approach, which is of course equivalent to the conventional one, has some intermediate features between the analytic renormalization and the B.P.H. procedure, but appears to be simpler than both.

PAGES

513-528

References to SciGraph publications

  • 1973-09. On renormalization and complex space-time dimensions in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1972-06. A method of gauge-invariant regularization in LETTERE AL NUOVO CIMENTO (1971-1985)
  • 1972-07. Analytic renormalization via continuous space dimension in LETTERE AL NUOVO CIMENTO (1971-1985)
  • 1969-04. A class of finite-part integration rules for quantum field theory defined by a method of analytic continuation in IL NUOVO CIMENTO A (1965-1970)
  • 1964-02. Analytic regularization and the divergences of quantum field theories in IL NUOVO CIMENTO (1955-1965)
  • Journal

    TITLE

    Il Nuovo Cimento A (1965-1970)

    ISSUE

    4

    VOLUME

    19

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf02813403

    DOI

    http://dx.doi.org/10.1007/bf02813403

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1051070713


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0104", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Statistics", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Mathematical Sciences", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "INFN Sezione di Milano", 
              "id": "https://www.grid.ac/institutes/grid.470206.7", 
              "name": [
                "Istituto di Scienze Fisiche dell'Universit\u00e0, Milano", 
                "Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Milano"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Butera", 
            "givenName": "P.", 
            "id": "sg:person.014752154155.98", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014752154155.98"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "INFN Sezione di Milano", 
              "id": "https://www.grid.ac/institutes/grid.470206.7", 
              "name": [
                "Istituto di Scienze Fisiche dell'Universit\u00e0, Milano", 
                "Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Milano"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Cicuta", 
            "givenName": "G. M.", 
            "id": "sg:person.0730550353.75", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0730550353.75"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "INFN Sezione di Milano", 
              "id": "https://www.grid.ac/institutes/grid.470206.7", 
              "name": [
                "Istituto di Scienze Fisiche dell'Universit\u00e0, Milano", 
                "Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Milano"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Montaldi", 
            "givenName": "E.", 
            "id": "sg:person.010477113575.84", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010477113575.84"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "https://doi.org/10.1016/0550-3213(72)90279-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1011514775"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(72)90279-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1011514775"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02733756", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1013988929", 
              "https://doi.org/10.1007/bf02733756"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02733756", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1013988929", 
              "https://doi.org/10.1007/bf02733756"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02756527", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019971339", 
              "https://doi.org/10.1007/bf02756527"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(72)90218-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1024683294"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02757302", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1046841299", 
              "https://doi.org/10.1007/bf02757302"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01645246", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1047008533", 
              "https://doi.org/10.1007/bf01645246"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01645246", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1047008533", 
              "https://doi.org/10.1007/bf01645246"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0003-4916(69)90333-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049495344"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02824407", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049572796", 
              "https://doi.org/10.1007/bf02824407"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/prop.19660140114", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1050677356"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0370-2693(72)90483-2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1051485919"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0370-2693(72)90483-2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1051485919"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1063/1.1664729", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1057742774"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrev.131.480", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060427468"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrev.131.480", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060427468"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.8.1257", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060707385"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.8.1257", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060707385"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "1974-02", 
        "datePublishedReg": "1974-02-01", 
        "description": "A renormalization procedure is developed for arbitrary graphs regularized by analytic interpolation in the space-time dimension. This approach, which is of course equivalent to the conventional one, has some intermediate features between the analytic renormalization and the B.P.H. procedure, but appears to be simpler than both.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/bf02813403", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1328730", 
            "issn": [
              "0369-3546", 
              "1826-9869"
            ], 
            "name": "Il Nuovo Cimento A (1965-1970)", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "4", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "19"
          }
        ], 
        "name": "Renormalization and the space-time dimension", 
        "pagination": "513-528", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "f348458e674f30a461b646a1100bf93a73400580fa49bfccffca25779cdb3b9e"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/bf02813403"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1051070713"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/bf02813403", 
          "https://app.dimensions.ai/details/publication/pub.1051070713"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-11T13:58", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000371_0000000371/records_130820_00000004.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "http://link.springer.com/10.1007/BF02813403"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/bf02813403'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/bf02813403'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf02813403'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf02813403'


     

    This table displays all metadata directly associated to this object as RDF triples.

    120 TRIPLES      21 PREDICATES      40 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/bf02813403 schema:about anzsrc-for:01
    2 anzsrc-for:0104
    3 schema:author N8aea5a1c363642c4a8cd89726f436fda
    4 schema:citation sg:pub.10.1007/bf01645246
    5 sg:pub.10.1007/bf02733756
    6 sg:pub.10.1007/bf02756527
    7 sg:pub.10.1007/bf02757302
    8 sg:pub.10.1007/bf02824407
    9 https://doi.org/10.1002/prop.19660140114
    10 https://doi.org/10.1016/0003-4916(69)90333-9
    11 https://doi.org/10.1016/0370-2693(72)90483-2
    12 https://doi.org/10.1016/0550-3213(72)90218-0
    13 https://doi.org/10.1016/0550-3213(72)90279-9
    14 https://doi.org/10.1063/1.1664729
    15 https://doi.org/10.1103/physrev.131.480
    16 https://doi.org/10.1103/physrevd.8.1257
    17 schema:datePublished 1974-02
    18 schema:datePublishedReg 1974-02-01
    19 schema:description A renormalization procedure is developed for arbitrary graphs regularized by analytic interpolation in the space-time dimension. This approach, which is of course equivalent to the conventional one, has some intermediate features between the analytic renormalization and the B.P.H. procedure, but appears to be simpler than both.
    20 schema:genre research_article
    21 schema:inLanguage en
    22 schema:isAccessibleForFree false
    23 schema:isPartOf N50a4c83d2d104365bbcce7d4709c36e3
    24 Nd447e8b71d254a37bef25e15ac977aa3
    25 sg:journal.1328730
    26 schema:name Renormalization and the space-time dimension
    27 schema:pagination 513-528
    28 schema:productId N356e8cd5ed7f42cc856330bc42b2c64d
    29 N37ae163554524368b1fc899c15f2ce02
    30 N6b34b064638f4d9a927cf0ac69565d38
    31 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051070713
    32 https://doi.org/10.1007/bf02813403
    33 schema:sdDatePublished 2019-04-11T13:58
    34 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    35 schema:sdPublisher N0a80b88126c54dedad0bb0df0845f987
    36 schema:url http://link.springer.com/10.1007/BF02813403
    37 sgo:license sg:explorer/license/
    38 sgo:sdDataset articles
    39 rdf:type schema:ScholarlyArticle
    40 N0a80b88126c54dedad0bb0df0845f987 schema:name Springer Nature - SN SciGraph project
    41 rdf:type schema:Organization
    42 N356e8cd5ed7f42cc856330bc42b2c64d schema:name dimensions_id
    43 schema:value pub.1051070713
    44 rdf:type schema:PropertyValue
    45 N37ae163554524368b1fc899c15f2ce02 schema:name readcube_id
    46 schema:value f348458e674f30a461b646a1100bf93a73400580fa49bfccffca25779cdb3b9e
    47 rdf:type schema:PropertyValue
    48 N50a4c83d2d104365bbcce7d4709c36e3 schema:volumeNumber 19
    49 rdf:type schema:PublicationVolume
    50 N6b34b064638f4d9a927cf0ac69565d38 schema:name doi
    51 schema:value 10.1007/bf02813403
    52 rdf:type schema:PropertyValue
    53 N7e63dbc3aa374b68bf93259abee29e36 rdf:first sg:person.010477113575.84
    54 rdf:rest rdf:nil
    55 N8aea5a1c363642c4a8cd89726f436fda rdf:first sg:person.014752154155.98
    56 rdf:rest Na399bd2a1fe64199a1695bb02927f3eb
    57 Na399bd2a1fe64199a1695bb02927f3eb rdf:first sg:person.0730550353.75
    58 rdf:rest N7e63dbc3aa374b68bf93259abee29e36
    59 Nd447e8b71d254a37bef25e15ac977aa3 schema:issueNumber 4
    60 rdf:type schema:PublicationIssue
    61 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    62 schema:name Mathematical Sciences
    63 rdf:type schema:DefinedTerm
    64 anzsrc-for:0104 schema:inDefinedTermSet anzsrc-for:
    65 schema:name Statistics
    66 rdf:type schema:DefinedTerm
    67 sg:journal.1328730 schema:issn 0369-3546
    68 1826-9869
    69 schema:name Il Nuovo Cimento A (1965-1970)
    70 rdf:type schema:Periodical
    71 sg:person.010477113575.84 schema:affiliation https://www.grid.ac/institutes/grid.470206.7
    72 schema:familyName Montaldi
    73 schema:givenName E.
    74 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010477113575.84
    75 rdf:type schema:Person
    76 sg:person.014752154155.98 schema:affiliation https://www.grid.ac/institutes/grid.470206.7
    77 schema:familyName Butera
    78 schema:givenName P.
    79 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014752154155.98
    80 rdf:type schema:Person
    81 sg:person.0730550353.75 schema:affiliation https://www.grid.ac/institutes/grid.470206.7
    82 schema:familyName Cicuta
    83 schema:givenName G. M.
    84 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0730550353.75
    85 rdf:type schema:Person
    86 sg:pub.10.1007/bf01645246 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047008533
    87 https://doi.org/10.1007/bf01645246
    88 rdf:type schema:CreativeWork
    89 sg:pub.10.1007/bf02733756 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013988929
    90 https://doi.org/10.1007/bf02733756
    91 rdf:type schema:CreativeWork
    92 sg:pub.10.1007/bf02756527 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019971339
    93 https://doi.org/10.1007/bf02756527
    94 rdf:type schema:CreativeWork
    95 sg:pub.10.1007/bf02757302 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046841299
    96 https://doi.org/10.1007/bf02757302
    97 rdf:type schema:CreativeWork
    98 sg:pub.10.1007/bf02824407 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049572796
    99 https://doi.org/10.1007/bf02824407
    100 rdf:type schema:CreativeWork
    101 https://doi.org/10.1002/prop.19660140114 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050677356
    102 rdf:type schema:CreativeWork
    103 https://doi.org/10.1016/0003-4916(69)90333-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049495344
    104 rdf:type schema:CreativeWork
    105 https://doi.org/10.1016/0370-2693(72)90483-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051485919
    106 rdf:type schema:CreativeWork
    107 https://doi.org/10.1016/0550-3213(72)90218-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024683294
    108 rdf:type schema:CreativeWork
    109 https://doi.org/10.1016/0550-3213(72)90279-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011514775
    110 rdf:type schema:CreativeWork
    111 https://doi.org/10.1063/1.1664729 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057742774
    112 rdf:type schema:CreativeWork
    113 https://doi.org/10.1103/physrev.131.480 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060427468
    114 rdf:type schema:CreativeWork
    115 https://doi.org/10.1103/physrevd.8.1257 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060707385
    116 rdf:type schema:CreativeWork
    117 https://www.grid.ac/institutes/grid.470206.7 schema:alternateName INFN Sezione di Milano
    118 schema:name Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Milano
    119 Istituto di Scienze Fisiche dell'Università, Milano
    120 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...