Electric dipole moment from QCD and how it vanishes for mixed states View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2012-10-04

AUTHORS

A. P. Balachandran, T. R. Govindarajan, A. R. de Queiroz

ABSTRACT

In a previous paper (A.P. Balachandran et al., JHEP 05, 012 (2012)), we studied the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \eta{^\prime}$\end{document} mass and formulated its chirally symmetric coupling to fermions which induces electric dipole moment (EDM) maintaining chiral symmetry throughout in contrast to earlier works. Here we calculate the EDM to one loop. It is finite, having no ultraviolet divergence while its infrared divergence is canceled by soft photon emission processes exactly as for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\ensuremath \theta=0$\end{document} . The coupling does not lead to new divergences (not present for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\ensuremath \cos\theta=1$\end{document} in soft photon processes either. Furthermore, as was argued previously (A.P. Balachandran et al., JHEP 05, 012 (2012)), the EDM vanishes if suitable mixed quantum states are used. This means that in a quantum theory based on such mixed states, a strong bound on EDM will not necessarily lead to a strong bound such as \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\ensuremath \vert\sin\theta\vert\lesssim10^{-11}$\end{document} . This fact eliminates the need to fine tune \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \theta$\end{document} or for the axion field. More... »

PAGES

118

References to SciGraph publications

  • 2011-11-25. Quantum gravity: mixed states from diffeomorphism anomalies in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-05-04. Novel studies on the η′ effective lagrangian in JOURNAL OF HIGH ENERGY PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1140/epjp/i2012-12118-7

    DOI

    http://dx.doi.org/10.1140/epjp/i2012-12118-7

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1003668408


    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/2008/02", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Physical Sciences", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0205", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Optical Physics", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "Institute of Mathematical Sciences, CIT Campus, Taramani, 600113, Chennai, India", 
              "id": "http://www.grid.ac/institutes/grid.462414.1", 
              "name": [
                "Physics Department, Syracuse University, 13244-1130, Syracuse, NY, USA", 
                "Institute of Mathematical Sciences, CIT Campus, Taramani, 600113, Chennai, India"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Balachandran", 
            "givenName": "A. P.", 
            "id": "sg:person.0675625774.88", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0675625774.88"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Institute of Mathematical Sciences, CIT Campus, Taramani, 600113, Chennai, India", 
              "id": "http://www.grid.ac/institutes/grid.462414.1", 
              "name": [
                "Institute of Mathematical Sciences, CIT Campus, Taramani, 600113, Chennai, India"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Govindarajan", 
            "givenName": "T. R.", 
            "id": "sg:person.014547132667.28", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014547132667.28"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Instituto de Fisica, Universidade de Brasilia, Caixa Postal 04455, 70919-970, Brasilia, Brazil", 
              "id": "http://www.grid.ac/institutes/grid.7632.0", 
              "name": [
                "Institute of Mathematical Sciences, CIT Campus, Taramani, 600113, Chennai, India", 
                "Instituto de Fisica, Universidade de Brasilia, Caixa Postal 04455, 70919-970, Brasilia, Brazil"
              ], 
              "type": "Organization"
            }, 
            "familyName": "de Queiroz", 
            "givenName": "A. R.", 
            "id": "sg:person.0732003076.69", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0732003076.69"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/jhep05(2012)012", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019099228", 
              "https://doi.org/10.1007/jhep05(2012)012"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep11(2011)126", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009168184", 
              "https://doi.org/10.1007/jhep11(2011)126"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2012-10-04", 
        "datePublishedReg": "2012-10-04", 
        "description": "In a previous paper (A.P. Balachandran et al., JHEP 05, 012 (2012)), we studied the \\documentclass[12pt]{minimal}\n\t\t\t\t\\usepackage{amsmath}\n\t\t\t\t\\usepackage{wasysym}\n\t\t\t\t\\usepackage{amsfonts}\n\t\t\t\t\\usepackage{amssymb}\n\t\t\t\t\\usepackage{amsbsy}\n\t\t\t\t\\usepackage{mathrsfs}\n\t\t\t\t\\usepackage{upgreek}\n\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\n\t\t\t\t\\begin{document}$ \\eta{^\\prime}$\\end{document} mass and formulated its chirally symmetric coupling to fermions which induces electric dipole moment (EDM) maintaining chiral symmetry throughout in contrast to earlier works. Here we calculate the EDM to one loop. It is finite, having no ultraviolet divergence while its infrared divergence is canceled by soft photon emission processes exactly as for \\documentclass[12pt]{minimal}\n\t\t\t\t\\usepackage{amsmath}\n\t\t\t\t\\usepackage{wasysym}\n\t\t\t\t\\usepackage{amsfonts}\n\t\t\t\t\\usepackage{amssymb}\n\t\t\t\t\\usepackage{amsbsy}\n\t\t\t\t\\usepackage{mathrsfs}\n\t\t\t\t\\usepackage{upgreek}\n\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\n\t\t\t\t\\begin{document}$\\ensuremath \\theta=0$\\end{document} . The coupling does not lead to new divergences (not present for \\documentclass[12pt]{minimal}\n\t\t\t\t\\usepackage{amsmath}\n\t\t\t\t\\usepackage{wasysym}\n\t\t\t\t\\usepackage{amsfonts}\n\t\t\t\t\\usepackage{amssymb}\n\t\t\t\t\\usepackage{amsbsy}\n\t\t\t\t\\usepackage{mathrsfs}\n\t\t\t\t\\usepackage{upgreek}\n\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\n\t\t\t\t\\begin{document}$\\ensuremath \\cos\\theta=1$\\end{document} in soft photon processes either. Furthermore, as was argued previously (A.P. Balachandran et al., JHEP 05, 012 (2012)), the EDM vanishes if suitable mixed quantum states are used. This means that in a quantum theory based on such mixed states, a strong bound on EDM will not necessarily lead to a strong bound such as \\documentclass[12pt]{minimal}\n\t\t\t\t\\usepackage{amsmath}\n\t\t\t\t\\usepackage{wasysym}\n\t\t\t\t\\usepackage{amsfonts}\n\t\t\t\t\\usepackage{amssymb}\n\t\t\t\t\\usepackage{amsbsy}\n\t\t\t\t\\usepackage{mathrsfs}\n\t\t\t\t\\usepackage{upgreek}\n\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\n\t\t\t\t\\begin{document}$\\ensuremath \\vert\\sin\\theta\\vert\\lesssim10^{-11}$\\end{document} . This fact eliminates the need to fine tune \\documentclass[12pt]{minimal}\n\t\t\t\t\\usepackage{amsmath}\n\t\t\t\t\\usepackage{wasysym}\n\t\t\t\t\\usepackage{amsfonts}\n\t\t\t\t\\usepackage{amssymb}\n\t\t\t\t\\usepackage{amsbsy}\n\t\t\t\t\\usepackage{mathrsfs}\n\t\t\t\t\\usepackage{upgreek}\n\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\n\t\t\t\t\\begin{document}$ \\theta$\\end{document} or for the axion field.", 
        "genre": "article", 
        "id": "sg:pub.10.1140/epjp/i2012-12118-7", 
        "inLanguage": "en", 
        "isAccessibleForFree": true, 
        "isPartOf": [
          {
            "id": "sg:journal.1052877", 
            "issn": [
              "2190-5444"
            ], 
            "name": "The European Physical Journal Plus", 
            "publisher": "Springer Nature", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "10", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "127"
          }
        ], 
        "keywords": [
          "contrast", 
          "mass", 
          "loop", 
          "process", 
          "work", 
          "earlier work", 
          "previous paper", 
          "coupling", 
          "divergence", 
          "moment", 
          "photon emission process", 
          "paper", 
          "symmetry", 
          "symmetric coupling", 
          "electric dipole moment", 
          "dipole moment", 
          "emission process", 
          "infrared divergences", 
          "new divergences", 
          "chiral symmetry", 
          "ultraviolet divergences", 
          "fermions", 
          "soft photon emission processes"
        ], 
        "name": "Electric dipole moment from QCD and how it vanishes for mixed states", 
        "pagination": "118", 
        "productId": [
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1003668408"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1140/epjp/i2012-12118-7"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1140/epjp/i2012-12118-7", 
          "https://app.dimensions.ai/details/publication/pub.1003668408"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2021-12-01T19:28", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-springernature-scigraph/baseset/20211201/entities/gbq_results/article/article_580.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://doi.org/10.1140/epjp/i2012-12118-7"
      }
    ]
     

    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.10.1140/epjp/i2012-12118-7'

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

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1140/epjp/i2012-12118-7'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1140/epjp/i2012-12118-7'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1140/epjp/i2012-12118-7'


     

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

    107 TRIPLES      22 PREDICATES      50 URIs      40 LITERALS      6 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1140/epjp/i2012-12118-7 schema:about anzsrc-for:02
    2 anzsrc-for:0205
    3 schema:author N49a5a992702c4d9c992d7f700b3a689a
    4 schema:citation sg:pub.10.1007/jhep05(2012)012
    5 sg:pub.10.1007/jhep11(2011)126
    6 schema:datePublished 2012-10-04
    7 schema:datePublishedReg 2012-10-04
    8 schema:description In a previous paper (A.P. Balachandran et al., JHEP 05, 012 (2012)), we studied the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \eta{^\prime}$\end{document} mass and formulated its chirally symmetric coupling to fermions which induces electric dipole moment (EDM) maintaining chiral symmetry throughout in contrast to earlier works. Here we calculate the EDM to one loop. It is finite, having no ultraviolet divergence while its infrared divergence is canceled by soft photon emission processes exactly as for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\ensuremath \theta=0$\end{document} . The coupling does not lead to new divergences (not present for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\ensuremath \cos\theta=1$\end{document} in soft photon processes either. Furthermore, as was argued previously (A.P. Balachandran et al., JHEP 05, 012 (2012)), the EDM vanishes if suitable mixed quantum states are used. This means that in a quantum theory based on such mixed states, a strong bound on EDM will not necessarily lead to a strong bound such as \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\ensuremath \vert\sin\theta\vert\lesssim10^{-11}$\end{document} . This fact eliminates the need to fine tune \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \theta$\end{document} or for the axion field.
    9 schema:genre article
    10 schema:inLanguage en
    11 schema:isAccessibleForFree true
    12 schema:isPartOf N302cd6e76d4d4442b3e143984cb595da
    13 N8fe89544c88e468f82990497e7c84c0a
    14 sg:journal.1052877
    15 schema:keywords chiral symmetry
    16 contrast
    17 coupling
    18 dipole moment
    19 divergence
    20 earlier work
    21 electric dipole moment
    22 emission process
    23 fermions
    24 infrared divergences
    25 loop
    26 mass
    27 moment
    28 new divergences
    29 paper
    30 photon emission process
    31 previous paper
    32 process
    33 soft photon emission processes
    34 symmetric coupling
    35 symmetry
    36 ultraviolet divergences
    37 work
    38 schema:name Electric dipole moment from QCD and how it vanishes for mixed states
    39 schema:pagination 118
    40 schema:productId N23fbdb0c772e421a9db56d3047407416
    41 Ne0871f5338c145308b1cb7f04c09cdf4
    42 schema:sameAs https://app.dimensions.ai/details/publication/pub.1003668408
    43 https://doi.org/10.1140/epjp/i2012-12118-7
    44 schema:sdDatePublished 2021-12-01T19:28
    45 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    46 schema:sdPublisher N9a430a3e872d454cbd1eedcc8578d9f6
    47 schema:url https://doi.org/10.1140/epjp/i2012-12118-7
    48 sgo:license sg:explorer/license/
    49 sgo:sdDataset articles
    50 rdf:type schema:ScholarlyArticle
    51 N23fbdb0c772e421a9db56d3047407416 schema:name doi
    52 schema:value 10.1140/epjp/i2012-12118-7
    53 rdf:type schema:PropertyValue
    54 N24e7d9775f1942119ff4f27e58c596c5 rdf:first sg:person.014547132667.28
    55 rdf:rest N42cd5bc3cbee4c9083d68a42dbe5f2b9
    56 N302cd6e76d4d4442b3e143984cb595da schema:issueNumber 10
    57 rdf:type schema:PublicationIssue
    58 N42cd5bc3cbee4c9083d68a42dbe5f2b9 rdf:first sg:person.0732003076.69
    59 rdf:rest rdf:nil
    60 N49a5a992702c4d9c992d7f700b3a689a rdf:first sg:person.0675625774.88
    61 rdf:rest N24e7d9775f1942119ff4f27e58c596c5
    62 N8fe89544c88e468f82990497e7c84c0a schema:volumeNumber 127
    63 rdf:type schema:PublicationVolume
    64 N9a430a3e872d454cbd1eedcc8578d9f6 schema:name Springer Nature - SN SciGraph project
    65 rdf:type schema:Organization
    66 Ne0871f5338c145308b1cb7f04c09cdf4 schema:name dimensions_id
    67 schema:value pub.1003668408
    68 rdf:type schema:PropertyValue
    69 anzsrc-for:02 schema:inDefinedTermSet anzsrc-for:
    70 schema:name Physical Sciences
    71 rdf:type schema:DefinedTerm
    72 anzsrc-for:0205 schema:inDefinedTermSet anzsrc-for:
    73 schema:name Optical Physics
    74 rdf:type schema:DefinedTerm
    75 sg:journal.1052877 schema:issn 2190-5444
    76 schema:name The European Physical Journal Plus
    77 schema:publisher Springer Nature
    78 rdf:type schema:Periodical
    79 sg:person.014547132667.28 schema:affiliation grid-institutes:grid.462414.1
    80 schema:familyName Govindarajan
    81 schema:givenName T. R.
    82 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014547132667.28
    83 rdf:type schema:Person
    84 sg:person.0675625774.88 schema:affiliation grid-institutes:grid.462414.1
    85 schema:familyName Balachandran
    86 schema:givenName A. P.
    87 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0675625774.88
    88 rdf:type schema:Person
    89 sg:person.0732003076.69 schema:affiliation grid-institutes:grid.7632.0
    90 schema:familyName de Queiroz
    91 schema:givenName A. R.
    92 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0732003076.69
    93 rdf:type schema:Person
    94 sg:pub.10.1007/jhep05(2012)012 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019099228
    95 https://doi.org/10.1007/jhep05(2012)012
    96 rdf:type schema:CreativeWork
    97 sg:pub.10.1007/jhep11(2011)126 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009168184
    98 https://doi.org/10.1007/jhep11(2011)126
    99 rdf:type schema:CreativeWork
    100 grid-institutes:grid.462414.1 schema:alternateName Institute of Mathematical Sciences, CIT Campus, Taramani, 600113, Chennai, India
    101 schema:name Institute of Mathematical Sciences, CIT Campus, Taramani, 600113, Chennai, India
    102 Physics Department, Syracuse University, 13244-1130, Syracuse, NY, USA
    103 rdf:type schema:Organization
    104 grid-institutes:grid.7632.0 schema:alternateName Instituto de Fisica, Universidade de Brasilia, Caixa Postal 04455, 70919-970, Brasilia, Brazil
    105 schema:name Institute of Mathematical Sciences, CIT Campus, Taramani, 600113, Chennai, India
    106 Instituto de Fisica, Universidade de Brasilia, Caixa Postal 04455, 70919-970, Brasilia, Brazil
    107 rdf:type schema:Organization
     




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


    ...