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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 5 Pith papers

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

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  3. Matter Spectral Functions from Quantum Gravity

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

  4. $e^+ e^- \to \mu^+ \mu^-$ in the Asymptotically Safe Standard Model

    hep-ph 2024-12 conditional novelty 6.0 of 10

    Using reconstructed timelike graviton spectral functions, the authors find that the e+e- to mu+mu- cross-section in the asymptotically safe Standard Model falls as 1/s in the ultraviolet and is compatible with unitarity.

  5. Gluon mass scale through the Schwinger mechanism

    hep-ph 2025-01 conditional novelty 2.0 of 10

    A comprehensive review showing how massless composite poles in QCD vertices can generate the gluon mass scale, with a BSE-based computation reaching m=367 MeV against the 354 MeV lattice value.

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