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Spectral functions of confined particles

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arxiv 1904.08172 v3 pith:3SZJF4WX submitted 2019-04-17 hep-ph hep-lathep-th

classification hep-phhep-lathep-th
keywords gluonfunctionsghostpolesspectraladdressedalonganalytic
verification ladder T0 review T1 audit T2 compute T3 formal
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We determine the gluon and ghost spectral functions along with the analytic structure of the associated propagators from numerical data describing gauge correlators at space-like momenta obtained by either solving the Dyson-Schwinger equations or through lattice simulations. Our novel reconstruction technique shows the expected branch cut for the gluon and the ghost propagator, which, in the gluon case, is supplemented with a pair of complex conjugate poles. Possible implications of the existence of these poles are briefly addressed.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The setting sun diagram with complex external momenta

    hep-th 2025-07 conditional novelty 4.0 of 10

    Direct evaluation of the d=2 setting sun diagram with a priori complex external momenta disagrees with the Kallen-Lehmann spectral continuation, so complex momenta should be inserted only after performing the integral.

  2. A beginner's guide to functional methods in particle physics

    hep-ph 2025-10 accept novelty 1.0 of 10

    A pedagogical review showing how Dyson-Schwinger, 3PI, and Bethe-Salpeter equations can be chained together to compute glueball masses in pure Yang-Mills theory, matching lattice QCD.

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