Configuration space based recurrence relations for sunset-type diagrams View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

1999-11

AUTHORS

S. Groote, J.G. Körner, A.A. Pivovarov

ABSTRACT

We derive recurrence relations for the calculation of multiloop sunset-type diagrams with large powers of massive propagators. The technique is formulated in configuration space and exploits the explicit form of the massive propagator raised to a given power. We write down and evaluate a convenient set of basis integrals. The method is well suited for a numerical evaluation of this class of diagrams. We give explicit analytical formulae for the basis integrals in the asymptotic regime. More... »

PAGES

279-292

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s100529900191

DOI

http://dx.doi.org/10.1007/s100529900191

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1003105448


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/2008/0806", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Information Systems", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/08", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Information and Computing Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Johannes Gutenberg University of Mainz", 
          "id": "https://www.grid.ac/institutes/grid.5802.f", 
          "name": [
            "Institut f\u00fcr Physik, Johannes-Gutenberg-Universit\u00e4t, Staudinger Weg 7, 55099 Mainz, Germany, DE"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Groote", 
        "givenName": "S.", 
        "id": "sg:person.01174511163.48", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01174511163.48"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Johannes Gutenberg University of Mainz", 
          "id": "https://www.grid.ac/institutes/grid.5802.f", 
          "name": [
            "Institut f\u00fcr Physik, Johannes-Gutenberg-Universit\u00e4t, Staudinger Weg 7, 55099 Mainz, Germany, DE"
          ], 
          "type": "Organization"
        }, 
        "familyName": "K\u00f6rner", 
        "givenName": "J.G.", 
        "id": "sg:person.01301453175.98", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01301453175.98"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Johannes Gutenberg University of Mainz", 
          "id": "https://www.grid.ac/institutes/grid.5802.f", 
          "name": [
            "Institut f\u00fcr Physik, Johannes-Gutenberg-Universit\u00e4t, Staudinger Weg 7, 55099 Mainz, Germany, DE"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Pivovarov", 
        "givenName": "A.A.", 
        "id": "sg:person.014624660601.63", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014624660601.63"
        ], 
        "type": "Person"
      }
    ], 
    "datePublished": "1999-11", 
    "datePublishedReg": "1999-11-01", 
    "description": "We derive recurrence relations for the calculation of multiloop sunset-type diagrams with large powers of massive propagators. The technique is formulated in configuration space and exploits the explicit form of the massive propagator raised to a given power. We write down and evaluate a convenient set of basis integrals. The method is well suited for a numerical evaluation of this class of diagrams. We give explicit analytical formulae for the basis integrals in the asymptotic regime.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/s100529900191", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1049394", 
        "issn": [
          "1434-6044", 
          "1434-6052"
        ], 
        "name": "The European Physical Journal C", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "2", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "11"
      }
    ], 
    "name": "Configuration space based recurrence relations for sunset-type diagrams", 
    "pagination": "279-292", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "0ecaf2be4269fe55d26106aeef1f1d604c46bdc39f96d11dc39716a02fc1e719"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s100529900191"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1003105448"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s100529900191", 
      "https://app.dimensions.ai/details/publication/pub.1003105448"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T01:51", 
    "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/v90/0000000001_0000000264/records_8700_00000479.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007/s100529900191"
  }
]
 

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/s100529900191'

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/s100529900191'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s100529900191'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s100529900191'


 

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

75 TRIPLES      20 PREDICATES      27 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s100529900191 schema:about anzsrc-for:08
2 anzsrc-for:0806
3 schema:author N5c76ec29a997442d8f15df67a416427c
4 schema:datePublished 1999-11
5 schema:datePublishedReg 1999-11-01
6 schema:description We derive recurrence relations for the calculation of multiloop sunset-type diagrams with large powers of massive propagators. The technique is formulated in configuration space and exploits the explicit form of the massive propagator raised to a given power. We write down and evaluate a convenient set of basis integrals. The method is well suited for a numerical evaluation of this class of diagrams. We give explicit analytical formulae for the basis integrals in the asymptotic regime.
7 schema:genre research_article
8 schema:inLanguage en
9 schema:isAccessibleForFree true
10 schema:isPartOf N038844c55dbb4dc6a435344a4ac30a7a
11 N2c61b34f0f5142cca86bc84431245847
12 sg:journal.1049394
13 schema:name Configuration space based recurrence relations for sunset-type diagrams
14 schema:pagination 279-292
15 schema:productId N8a35ab8fa2a940e880f8d8821f256f58
16 Nb67e0b0086414f1c8d97bc4feffee4c8
17 Nfb94232f3f4c4ac687c6a2d73e81313a
18 schema:sameAs https://app.dimensions.ai/details/publication/pub.1003105448
19 https://doi.org/10.1007/s100529900191
20 schema:sdDatePublished 2019-04-11T01:51
21 schema:sdLicense https://scigraph.springernature.com/explorer/license/
22 schema:sdPublisher Na0761fc149c34fd5933cdfadd7d0640b
23 schema:url http://link.springer.com/10.1007/s100529900191
24 sgo:license sg:explorer/license/
25 sgo:sdDataset articles
26 rdf:type schema:ScholarlyArticle
27 N038844c55dbb4dc6a435344a4ac30a7a schema:volumeNumber 11
28 rdf:type schema:PublicationVolume
29 N2c61b34f0f5142cca86bc84431245847 schema:issueNumber 2
30 rdf:type schema:PublicationIssue
31 N5c76ec29a997442d8f15df67a416427c rdf:first sg:person.01174511163.48
32 rdf:rest N6bbb53bb702944d3a6fa9d209806eb7a
33 N6bbb53bb702944d3a6fa9d209806eb7a rdf:first sg:person.01301453175.98
34 rdf:rest Ndc340eb582184713a5d9dac5c6d3c20c
35 N8a35ab8fa2a940e880f8d8821f256f58 schema:name doi
36 schema:value 10.1007/s100529900191
37 rdf:type schema:PropertyValue
38 Na0761fc149c34fd5933cdfadd7d0640b schema:name Springer Nature - SN SciGraph project
39 rdf:type schema:Organization
40 Nb67e0b0086414f1c8d97bc4feffee4c8 schema:name dimensions_id
41 schema:value pub.1003105448
42 rdf:type schema:PropertyValue
43 Ndc340eb582184713a5d9dac5c6d3c20c rdf:first sg:person.014624660601.63
44 rdf:rest rdf:nil
45 Nfb94232f3f4c4ac687c6a2d73e81313a schema:name readcube_id
46 schema:value 0ecaf2be4269fe55d26106aeef1f1d604c46bdc39f96d11dc39716a02fc1e719
47 rdf:type schema:PropertyValue
48 anzsrc-for:08 schema:inDefinedTermSet anzsrc-for:
49 schema:name Information and Computing Sciences
50 rdf:type schema:DefinedTerm
51 anzsrc-for:0806 schema:inDefinedTermSet anzsrc-for:
52 schema:name Information Systems
53 rdf:type schema:DefinedTerm
54 sg:journal.1049394 schema:issn 1434-6044
55 1434-6052
56 schema:name The European Physical Journal C
57 rdf:type schema:Periodical
58 sg:person.01174511163.48 schema:affiliation https://www.grid.ac/institutes/grid.5802.f
59 schema:familyName Groote
60 schema:givenName S.
61 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01174511163.48
62 rdf:type schema:Person
63 sg:person.01301453175.98 schema:affiliation https://www.grid.ac/institutes/grid.5802.f
64 schema:familyName Körner
65 schema:givenName J.G.
66 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01301453175.98
67 rdf:type schema:Person
68 sg:person.014624660601.63 schema:affiliation https://www.grid.ac/institutes/grid.5802.f
69 schema:familyName Pivovarov
70 schema:givenName A.A.
71 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014624660601.63
72 rdf:type schema:Person
73 https://www.grid.ac/institutes/grid.5802.f schema:alternateName Johannes Gutenberg University of Mainz
74 schema:name Institut für Physik, Johannes-Gutenberg-Universität, Staudinger Weg 7, 55099 Mainz, Germany, DE
75 rdf:type schema:Organization
 




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


...