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Glueballs from Dyson-Schwinger and Bethe-Salpeter equations

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arxiv 2312.12029 v1 pith:3D3JSVUD submitted 2023-12-19 hep-ph hep-th

classification hep-phhep-th
keywords equationsglueballsbounddyson-schwingerinputobtainedonlyresults
verification ladder T0 review T1 audit T2 compute T3 formal
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The quenched spectrum of glueballs with positive charge parity is calculated from two-body bound state equations. As input, a self-contained solution for the primitively divergent correlation functions from Dyson-Schwinger equations is used. It only has one parameter to be set which is the physical scale. An important feature of this setup is the consistent construction of the bound state kernels along the same lines as the equations from which the input was obtained. Keeping only the one-particle exchanges, already good agreement with lattice results is obtained. For the tensor glueball, we present first results including two-loop contributions, elevating its calculation to the same level of truncation as for the spin zero glueballs for which such calculations have been done previously.

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Cited by 2 Pith papers

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  1. Gauge-Fermion Cartography: from confinement and chiral symmetry breaking to conformality

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    A non-perturbative fRG calculation charts confinement and chiral symmetry breaking across flavour number and predicts the conformal window boundary at Nf = 9.60 for Nc = 3.

  2. 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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