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Glueballs from bound state equations

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arxiv 2211.09131 v1 pith:W4GMVN7K submitted 2022-11-16 hep-ph

classification hep-ph
keywords glueballsboundequationsfunctionalonlyresultsbelongcalculate
verification ladder T0 review T1 audit T2 compute T3 formal
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Glueballs are bound states in the spectrum of quantum chromodynamics which consist only of gluons. They belong to the group of exotic hadrons which are widely studied experimentally and theoretically. We summarize how to calculate glueballs in a functional framework and discuss results for pure Yang-Mills theory. Our setup is totally self-contained with the scale being the only external input. We enumerate a range of tests that provide evidence of the stability of the results. This illustrates the potential of functional equations as a continuum first-principles method complementary to lattice calculations.

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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.

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