The Gauge-Field Propagator in Light-Cone Gauge: Which is the Correct One? View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2017-03

AUTHORS

L. Mantovani, A. Bacchetta, B. Pasquini, X. Xiong

ABSTRACT

In the literature one can find two different expressions for the gauge-field propagator in light-cone gauge, containing the sum of three rather than two terms. The question of which of the two is the correct one has been a subject of debate. We propose a solution to this question by evaluating one-loop level processes in QED, both in the covariant approach in the light-cone gauge and in the light-front time-ordered perturbation theory (TOPT) approach, proving the equivalence between the two formulations of the theory. The form of the propagator turns out to be crucial in the proof, in particular as concerns its relation with the diagrams containing instantaneously propagating photons and instantaneous interactions. We show that the diagrams in light-front TOPT with instantaneous photons can be recovered in the covariant approach starting from the propagators with only two terms. Our proof of the equivalence clarifies which form should be used for the gauge-field propagator in the covariant approach. This result naturally applies to the QCD case also. More... »

PAGES

84

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00601-017-1237-y

DOI

http://dx.doi.org/10.1007/s00601-017-1237-y

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1083805677


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/2008/2005", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Literary Studies", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/20", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Language, Communication and Culture", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "INFN Sezione di Pavia", 
          "id": "https://www.grid.ac/institutes/grid.470213.3", 
          "name": [
            "Dipartimento di Fisica, Universit\u00e0 degli Studi di Pavia, Pavia, Italy", 
            "INFN, Sezione di Pavia, 27100, Pavia, Italy"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Mantovani", 
        "givenName": "L.", 
        "id": "sg:person.011742212721.53", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011742212721.53"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "INFN Sezione di Pavia", 
          "id": "https://www.grid.ac/institutes/grid.470213.3", 
          "name": [
            "Dipartimento di Fisica, Universit\u00e0 degli Studi di Pavia, Pavia, Italy", 
            "INFN, Sezione di Pavia, 27100, Pavia, Italy"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Bacchetta", 
        "givenName": "A.", 
        "id": "sg:person.013603234173.36", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013603234173.36"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "INFN Sezione di Pavia", 
          "id": "https://www.grid.ac/institutes/grid.470213.3", 
          "name": [
            "Dipartimento di Fisica, Universit\u00e0 degli Studi di Pavia, Pavia, Italy", 
            "INFN, Sezione di Pavia, 27100, Pavia, Italy"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Pasquini", 
        "givenName": "B.", 
        "id": "sg:person.013607364145.41", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013607364145.41"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "INFN Sezione di Pavia", 
          "id": "https://www.grid.ac/institutes/grid.470213.3", 
          "name": [
            "INFN, Sezione di Pavia, 27100, Pavia, Italy"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Xiong", 
        "givenName": "X.", 
        "id": "sg:person.01162103544.39", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01162103544.39"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1103/physrevd.91.065020", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1007810311"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.91.065020", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1007810311"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.64.045006", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1033093442"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.64.045006", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1033093442"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.43.3411", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060699219"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.43.3411", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060699219"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.44.433", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060699788"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.44.433", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060699788"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.71.125011", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060706223"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.71.125011", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060706223"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.94.116005", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060714717"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.94.116005", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060714717"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2017-03", 
    "datePublishedReg": "2017-03-01", 
    "description": "In the literature one can find two different expressions for the gauge-field propagator in light-cone gauge, containing the sum of three rather than two terms. The question of which of the two is the correct one has been a subject of debate. We propose a solution to this question by evaluating one-loop level processes in QED, both in the covariant approach in the light-cone gauge and in the light-front time-ordered perturbation theory (TOPT) approach, proving the equivalence between the two formulations of the theory. The form of the propagator turns out to be crucial in the proof, in particular as concerns its relation with the diagrams containing instantaneously propagating photons and instantaneous interactions. We show that the diagrams in light-front TOPT with instantaneous photons can be recovered in the covariant approach starting from the propagators with only two terms. Our proof of the equivalence clarifies which form should be used for the gauge-field propagator in the covariant approach. This result naturally applies to the QCD case also.", 
    "genre": "non_research_article", 
    "id": "sg:pub.10.1007/s00601-017-1237-y", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isFundedItemOf": [
      {
        "id": "sg:grant.3939484", 
        "type": "MonetaryGrant"
      }
    ], 
    "isPartOf": [
      {
        "id": "sg:journal.1136823", 
        "issn": [
          "0177-7963", 
          "0177-8811"
        ], 
        "name": "Few-Body Systems", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "2", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "58"
      }
    ], 
    "name": "The Gauge-Field Propagator in Light-Cone Gauge: Which is the Correct One?", 
    "pagination": "84", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "348034f442d17b1c6fa41bd124c6ef0a35642b09bce84e576bfc20f42d3060aa"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s00601-017-1237-y"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1083805677"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s00601-017-1237-y", 
      "https://app.dimensions.ai/details/publication/pub.1083805677"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T10:04", 
    "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/v90/0000000347_0000000347/records_89826_00000002.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://link.springer.com/10.1007%2Fs00601-017-1237-y"
  }
]
 

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/s00601-017-1237-y'

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/s00601-017-1237-y'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s00601-017-1237-y'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s00601-017-1237-y'


 

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

103 TRIPLES      21 PREDICATES      33 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s00601-017-1237-y schema:about anzsrc-for:20
2 anzsrc-for:2005
3 schema:author Na1df09d4aa294475a3aa23ccaa51540f
4 schema:citation https://doi.org/10.1103/physrevd.43.3411
5 https://doi.org/10.1103/physrevd.44.433
6 https://doi.org/10.1103/physrevd.64.045006
7 https://doi.org/10.1103/physrevd.71.125011
8 https://doi.org/10.1103/physrevd.91.065020
9 https://doi.org/10.1103/physrevd.94.116005
10 schema:datePublished 2017-03
11 schema:datePublishedReg 2017-03-01
12 schema:description In the literature one can find two different expressions for the gauge-field propagator in light-cone gauge, containing the sum of three rather than two terms. The question of which of the two is the correct one has been a subject of debate. We propose a solution to this question by evaluating one-loop level processes in QED, both in the covariant approach in the light-cone gauge and in the light-front time-ordered perturbation theory (TOPT) approach, proving the equivalence between the two formulations of the theory. The form of the propagator turns out to be crucial in the proof, in particular as concerns its relation with the diagrams containing instantaneously propagating photons and instantaneous interactions. We show that the diagrams in light-front TOPT with instantaneous photons can be recovered in the covariant approach starting from the propagators with only two terms. Our proof of the equivalence clarifies which form should be used for the gauge-field propagator in the covariant approach. This result naturally applies to the QCD case also.
13 schema:genre non_research_article
14 schema:inLanguage en
15 schema:isAccessibleForFree false
16 schema:isPartOf N283038e187a14079ad4a21885be71c6f
17 N48b89dd021844b06a624c71d8260f731
18 sg:journal.1136823
19 schema:name The Gauge-Field Propagator in Light-Cone Gauge: Which is the Correct One?
20 schema:pagination 84
21 schema:productId N5b21a18149ff49c89cca5fd46bb4d377
22 Ndd5f19b3eca849acbf6ac46c57efce5b
23 Nf7ee54202f9b41e085e445d2d7545fcd
24 schema:sameAs https://app.dimensions.ai/details/publication/pub.1083805677
25 https://doi.org/10.1007/s00601-017-1237-y
26 schema:sdDatePublished 2019-04-11T10:04
27 schema:sdLicense https://scigraph.springernature.com/explorer/license/
28 schema:sdPublisher N36af86573c8e4ae4810798899b8185d8
29 schema:url https://link.springer.com/10.1007%2Fs00601-017-1237-y
30 sgo:license sg:explorer/license/
31 sgo:sdDataset articles
32 rdf:type schema:ScholarlyArticle
33 N283038e187a14079ad4a21885be71c6f schema:volumeNumber 58
34 rdf:type schema:PublicationVolume
35 N36af86573c8e4ae4810798899b8185d8 schema:name Springer Nature - SN SciGraph project
36 rdf:type schema:Organization
37 N4322f70957024ccc9585adb3eb842250 rdf:first sg:person.013607364145.41
38 rdf:rest N8f997be2e2874675b7d98369fe602c7a
39 N48b89dd021844b06a624c71d8260f731 schema:issueNumber 2
40 rdf:type schema:PublicationIssue
41 N5b21a18149ff49c89cca5fd46bb4d377 schema:name doi
42 schema:value 10.1007/s00601-017-1237-y
43 rdf:type schema:PropertyValue
44 N8f997be2e2874675b7d98369fe602c7a rdf:first sg:person.01162103544.39
45 rdf:rest rdf:nil
46 Na1df09d4aa294475a3aa23ccaa51540f rdf:first sg:person.011742212721.53
47 rdf:rest Nbf3147e95f7d470d9305d7a2eac6ee73
48 Nbf3147e95f7d470d9305d7a2eac6ee73 rdf:first sg:person.013603234173.36
49 rdf:rest N4322f70957024ccc9585adb3eb842250
50 Ndd5f19b3eca849acbf6ac46c57efce5b schema:name dimensions_id
51 schema:value pub.1083805677
52 rdf:type schema:PropertyValue
53 Nf7ee54202f9b41e085e445d2d7545fcd schema:name readcube_id
54 schema:value 348034f442d17b1c6fa41bd124c6ef0a35642b09bce84e576bfc20f42d3060aa
55 rdf:type schema:PropertyValue
56 anzsrc-for:20 schema:inDefinedTermSet anzsrc-for:
57 schema:name Language, Communication and Culture
58 rdf:type schema:DefinedTerm
59 anzsrc-for:2005 schema:inDefinedTermSet anzsrc-for:
60 schema:name Literary Studies
61 rdf:type schema:DefinedTerm
62 sg:grant.3939484 http://pending.schema.org/fundedItem sg:pub.10.1007/s00601-017-1237-y
63 rdf:type schema:MonetaryGrant
64 sg:journal.1136823 schema:issn 0177-7963
65 0177-8811
66 schema:name Few-Body Systems
67 rdf:type schema:Periodical
68 sg:person.01162103544.39 schema:affiliation https://www.grid.ac/institutes/grid.470213.3
69 schema:familyName Xiong
70 schema:givenName X.
71 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01162103544.39
72 rdf:type schema:Person
73 sg:person.011742212721.53 schema:affiliation https://www.grid.ac/institutes/grid.470213.3
74 schema:familyName Mantovani
75 schema:givenName L.
76 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011742212721.53
77 rdf:type schema:Person
78 sg:person.013603234173.36 schema:affiliation https://www.grid.ac/institutes/grid.470213.3
79 schema:familyName Bacchetta
80 schema:givenName A.
81 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013603234173.36
82 rdf:type schema:Person
83 sg:person.013607364145.41 schema:affiliation https://www.grid.ac/institutes/grid.470213.3
84 schema:familyName Pasquini
85 schema:givenName B.
86 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013607364145.41
87 rdf:type schema:Person
88 https://doi.org/10.1103/physrevd.43.3411 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060699219
89 rdf:type schema:CreativeWork
90 https://doi.org/10.1103/physrevd.44.433 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060699788
91 rdf:type schema:CreativeWork
92 https://doi.org/10.1103/physrevd.64.045006 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033093442
93 rdf:type schema:CreativeWork
94 https://doi.org/10.1103/physrevd.71.125011 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060706223
95 rdf:type schema:CreativeWork
96 https://doi.org/10.1103/physrevd.91.065020 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007810311
97 rdf:type schema:CreativeWork
98 https://doi.org/10.1103/physrevd.94.116005 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060714717
99 rdf:type schema:CreativeWork
100 https://www.grid.ac/institutes/grid.470213.3 schema:alternateName INFN Sezione di Pavia
101 schema:name Dipartimento di Fisica, Università degli Studi di Pavia, Pavia, Italy
102 INFN, Sezione di Pavia, 27100, Pavia, Italy
103 rdf:type schema:Organization
 




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


...