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Hyperasymptotics and quark-hadron duality violations in QCD

Boito, Diogo ; Caprini, Irinel ; Golterman, Maarten ; Maltman, Kim ; Peris, Santiago

Physical review. D, 2018-03, Vol.97 (5), Article 054007 [Periódico revisado por pares]

College Park: American Physical Society

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  • Título:
    Hyperasymptotics and quark-hadron duality violations in QCD
  • Autor: Boito, Diogo ; Caprini, Irinel ; Golterman, Maarten ; Maltman, Kim ; Peris, Santiago
  • Assuntos: Laplace transforms ; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ; Quantum chromodynamics ; Quarks ; Singularities
  • É parte de: Physical review. D, 2018-03, Vol.97 (5), Article 054007
  • Notas: SC0013682
    USDOE Office of Science (SC), High Energy Physics (HEP)
  • Descrição: We investigate the origin of the quark-hadron duality-violating terms in the expansion of the QCD two-point vector correlation function at large energies in the complex q2 plane. Starting from the dispersive representation for the associated polarization, the analytic continuation of the operator product expansion from the Euclidean to the Minkowski region is performed by means of a generalized Borel-Laplace transform, borrowing techniques from hyperasymptotics. We establish a connection between singularities in the Borel plane and quark-hadron duality-violating contributions. Starting with the assumption that for QCD at Nc=∞ the spectrum approaches a Regge trajectory at large energy, we obtain an expression for quark-hadron duality violations at large, but finite Nc.
  • Editor: College Park: American Physical Society
  • Idioma: Inglês

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