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Yang-Mills glueball masses from spectral reconstruction

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arxiv 2212.01113 v2 pith:A35NSLC5 submitted 2022-12-02 hep-ph hep-lathep-th

Jan M. Pawlowski , Coralie S. Schneider , Jonas Turnwald , Julian M. Urban , Nicolas Wink This is my paper · ORCID
classification hep-phhep-lathep-th
keywords spectraleuclideanfunctionalglueballmassesreconstructionvertexyang-mills
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abstract

We compute masses of the two lightest glueballs from spectral reconstructions of timelike interaction channels of the four-gluon vertex in Landau gauge Yang-Mills theory. The Euclidean spacelike dressings of the vertex are calculated with the functional renormalisation group. For the spectral reconstruction of these Euclidean data, we employ Gaussian process regression. The glueball resonances can be identified straightforwardly and we obtain $m_{sc} = 1870(75)~$ MeV as well as $m_{ps} = 2700(120)~$ MeV, in accordance with functional bound state and lattice calculations.

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