1 Ocak 2019 Dergi makalesi Açık Erişim

Pazarbası, Cihan; Bleeken, Dieter

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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/105569</identifier>
  <creators>
    <creator>
      <creatorName>Pazarbası, Cihan</creatorName>
      <givenName>Cihan</givenName>
      <familyName>Pazarbası</familyName>
      <affiliation>Physics Department, Boğaziçi University, Bebek, Istanbul, 34342, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Bleeken, Dieter</creatorName>
      <givenName>Dieter</givenName>
      <familyName>Bleeken</familyName>
      <affiliation>Physics Department, Boğaziçi University, Bebek, Istanbul, 34342, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Renormalons In Quantum Mechanics</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2019</publicationYear>
  <dates>
    <date dateType="Issued">2019-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/105569</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1007/JHEP08(2019)096</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
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  <descriptions>
    <description descriptionType="Abstract">&lt;p&gt;We present a nonrelativistic one-particle quantum mechanics whose perturbative S-matrix exhibits a renormalon divergence that we explicitely compute. The potential of our model is the sum of the 2d Dirac δ-potential — known to require renormalization — and a 1d Dirac δ-potential tilted at an angle. We argue that renormalons are not specific to this example and exist for a much wider class of potentials. The ambiguity in the Borel summation of the perturbative series due to the renormalon pole is resolved by the physical condition of causality through careful consideration of the iϵ prescription. The suitably summed perturbative result coincides with the exact answer obtained through the operator formalism for scattering.&lt;/p&gt;</description>
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