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  "authors": [
    {
      "affiliations": [
        {
          "country": "Germany", 
          "value": "Institut f\u00fcr Theoretische Physik, Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster, Wilhelm-Klemm-Stra\u00dfe 9, M\u00fcnster, 48149, Germany", 
          "organization": "Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster"
        }
      ], 
      "surname": "Heitger", 
      "given_names": "Jochen", 
      "full_name": "Heitger, Jochen"
    }, 
    {
      "affiliations": [
        {
          "country": "Germany", 
          "value": "Institut f\u00fcr Theoretische Physik, Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster, Wilhelm-Klemm-Stra\u00dfe 9, M\u00fcnster, 48149, Germany", 
          "organization": "Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster"
        }
      ], 
      "surname": "Joswig", 
      "email": "fabian.joswig@wwu.de", 
      "full_name": "Joswig, Fabian", 
      "given_names": "Fabian"
    }, 
    {
      "affiliations": [
        {
          "country": "Italy", 
          "value": "\u201cRome Tor Vergata\u201d Division, c/o Dipartimento di Fisica, INFN, Via della Ricerca Scientifica 1, Rome, 00133, Italy", 
          "organization": "INFN"
        }
      ], 
      "surname": "Vladikas", 
      "given_names": "Anastassios", 
      "full_name": "Vladikas, Anastassios"
    }
  ], 
  "titles": [
    {
      "source": "Springer", 
      "title": "Ward identity determination of $$Z_{\\mathrm {S}}/Z_{\\mathrm {P}}$$ <math><mrow><msub><mi>Z</mi><mi>S</mi></msub><mo>/</mo><msub><mi>Z</mi><mi>P</mi></msub></mrow></math>  for $$N_{\\mathrm {f}}=3$$ <math><mrow><msub><mi>N</mi><mi>f</mi></msub><mo>=</mo><mn>3</mn></mrow></math>  lattice QCD in a Schr\u00f6dinger functional setup"
    }
  ], 
  "dois": [
    {
      "value": "10.1140/epjc/s10052-020-8266-2"
    }
  ], 
  "publication_info": [
    {
      "page_end": "22", 
      "journal_title": "European Physical Journal C", 
      "material": "article", 
      "journal_volume": "80", 
      "artid": "s10052-020-8266-2", 
      "year": 2020, 
      "page_start": "1", 
      "journal_issue": "8"
    }
  ], 
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    "date": "2020-10-02T20:31:07.987060", 
    "source": "Springer", 
    "method": "Springer", 
    "submission_number": "47b309a004dd11ebbd0e02163e01809a"
  }, 
  "page_nr": [
    22
  ], 
  "license": [
    {
      "url": "https://creativecommons.org/licenses//by/4.0", 
      "license": "CC-BY-4.0"
    }
  ], 
  "copyright": [
    {
      "holder": "The Author(s)", 
      "year": "2020"
    }
  ], 
  "control_number": "56485", 
  "record_creation_date": "2020-08-24T20:30:27.817641", 
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  "collections": [
    {
      "primary": "European Physical Journal C"
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  ], 
  "arxiv_eprints": [
    {
      "categories": [
        "hep-lat"
      ], 
      "value": "2005.01352"
    }
  ], 
  "abstracts": [
    {
      "source": "Springer", 
      "value": "We derive chiral Ward identities for lattice QCD with Wilson quarks and $$N_{\\mathrm{f}}\\ge 3$$ <math><mrow><msub><mi>N</mi><mi>f</mi></msub><mo>\u2265</mo><mn>3</mn></mrow></math>  flavours, on small lattices with Schr\u00f6dinger functional boundary conditions and vanishingly small quark masses. These identities relate the axial variation of the non-singlet pseudoscalar density to the scalar one, thus enabling the non-perturbative determination of the scale-independent ratio $$Z_{\\mathrm {S}}/Z_{\\mathrm {P}}$$ <math><mrow><msub><mi>Z</mi><mi>S</mi></msub><mo>/</mo><msub><mi>Z</mi><mi>P</mi></msub></mrow></math>  of the renormalisation parameters of these operators. We obtain results for $$N_{\\mathrm{f}}=3$$ <math><mrow><msub><mi>N</mi><mi>f</mi></msub><mo>=</mo><mn>3</mn></mrow></math>  QCD with tree-level Symanzik-improved gluons and Wilson-Clover quarks, for bare gauge couplings which cover the typical range of large-volume $$N_{\\mathrm{f}}= 2+1$$ <math><mrow><msub><mi>N</mi><mi>f</mi></msub><mo>=</mo><mn>2</mn><mo>+</mo><mn>1</mn></mrow></math>  simulations with Wilson fermions at lattice spacings below $$0.1\\,$$ <math><mrow><mn>0.1</mn><mspace width=\"0.166667em\"></mspace></mrow></math> fm. The precision of our results varies from 0.3 to 1%, except for the coarsest lattice, where it is 2%. We discuss how the $$Z_{\\mathrm {S}}/Z_{\\mathrm {P}}$$ <math><mrow><msub><mi>Z</mi><mi>S</mi></msub><mo>/</mo><msub><mi>Z</mi><mi>P</mi></msub></mrow></math>  ratio can be used in the non-perturbative calculations of $${\\mathrm {O}}(a)$$ <math><mrow><mi>O</mi><mo>(</mo><mi>a</mi><mo>)</mo></mrow></math>  improved renormalised quark masses."
    }
  ], 
  "imprints": [
    {
      "date": "2020-08-24", 
      "publisher": "Springer"
    }
  ]
}