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  "authors": [
    {
      "affiliations": [
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          "country": "Japan", 
          "value": "Department of Physics, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, Japan"
        }
      ], 
      "surname": "Morikawa", 
      "given_names": "Okuto", 
      "full_name": "Morikawa, Okuto"
    }, 
    {
      "affiliations": [
        {
          "country": "Japan", 
          "value": "Department of Physics, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, Japan"
        }
      ], 
      "surname": "Suzuki", 
      "email": "hsuzuki@phys.kyushu-u.ac.jp", 
      "full_name": "Suzuki, Hiroshi", 
      "given_names": "Hiroshi"
    }
  ], 
  "titles": [
    {
      "source": "Oxford University Press", 
      "title": "Axial (1) Anomaly in a Gravitational Field via the Gradient Flow"
    }
  ], 
  "dois": [
    {
      "value": "10.1093/ptep/pty073"
    }
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  "publication_info": [
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      "journal_title": "Progress of Theoretical and Experimental Physics", 
      "material": "article", 
      "journal_volume": "2018", 
      "artid": "073B02", 
      "year": 2018, 
      "page_start": "2426", 
      "journal_issue": "7"
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      "url": "http://creativecommons.org/licenses/by/4.0/", 
      "license": "CC-BY-4.0"
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  "copyright": [
    {
      "material": "Article", 
      "statement": "\u00a9 The Author(s) 2018. Published by Oxford University Press on behalf of the Physical Society of Japan.", 
      "year": "2018"
    }
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      "primary": "Progress of Theoretical and Experimental Physics"
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  "arxiv_eprints": [
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      "categories": [
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  "abstracts": [
    {
      "source": "Oxford University Press", 
      "value": "Abstract A regularization-independent universal formula for the energy\u2013momentum tensor in gauge theory in the flat spacetime can be written down by employing the so-called Yang\u2013Mills gradient flow. We examine a possible use of the formula in the calculation of the axial  anomaly in a gravitational field, the anomaly first obtained by Toshiei Kimura [Prog. Theor. Phys. 42, 1191 (1969)]. As a general argument indicates, the formula reproduces the correct non-local structure of the (axial  current)\u2013(energy\u2013momentum tensor)\u2013(energy\u2013momentum tensor) triangle diagram in a way that is consistent with the axial  anomaly. On the other hand, the formula does not automatically reproduce the general coordinate (or translation) Ward\u2013Takahashi relation, requiring corrections by local counterterms. This analysis thus illustrates the fact that the universal formula as it stands can be used only in on-shell correlation functions, in which the energy\u2013momentum tensor does not coincide with other composite operators in coordinate space."
    }
  ], 
  "imprints": [
    {
      "date": "2018-07-17", 
      "publisher": "Oxford University Press"
    }
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