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Ghost spectral function from the spectral Dyson-Schwinger equation

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arxiv 2103.16175 v2 pith:SKFUD27Q submitted 2021-03-30 hep-th hep-ph

classification hep-thhep-ph
keywords functionspectralghostdyson-schwingerequationgluoninputanalytically
verification ladder T0 review T1 audit T2 compute T3 formal
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We compute the ghost spectral function in Yang-Mills theory by solving the corresponding Dyson-Schwinger equation for a given input gluon spectral function. The results encompass both scaling and decoupling solutions for the gluon propagator input. The resulting ghost spectral function displays a particle peak at vanishing momentum and a negative scattering spectrum, whose infrared and ultraviolet tails are obtained analytically. The ghost dressing function is computed in the entire complex plane, and its salient features are identified and discussed.

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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. Self-consistent graviton spectral function in Lorentzian quantum gravity

    hep-th 2025-07 conditional novelty 6.0 of 10

    A self-consistent spectral renormalisation group computation yields a positive, normalizable graviton spectral function with a massless pole and a multi-graviton continuum decaying as 1/(λ² log³ λ²).

  2. Matter Spectral Functions from Quantum Gravity

    hep-th 2025-07 conditional novelty 6.0 of 10

    Under asymptotically safe quantum gravity, photon and scalar propagators acquire Källén-Lehmann spectral functions that are non-normalizable and change sign in the ultraviolet.

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