https://doi.org/10.1140/epjc/s10052-020-08649-6
Regular Article – Theoretical Physics
Spectrum of scalar and pseudoscalar glueballs from functional methods
1
Institut für Theoretische Physik, Justus-Liebig-Universität Giessen, 35392, Giessen, Germany
2
Helmholtz Forschungsakademie Hessen für FAIR (HFHF), GSI Helmholtzzentrum für Schwerionenforschung, Campus Gießen, 35392, Giessen, Germany
3
Institute of Physics, University of Graz, NAWI Graz, Universitätsplatz 5, 8010, Graz, Austria
4
Silicon Austria Labs GmbH, Inffeldgasse 33, 8010, Graz, Austria
* e-mail: markus.huber@physik.jlug.de
Received:
2
July
2020
Accepted:
10
November
2020
Published online:
20
November
2020
We provide results for the spectrum of scalar and pseudoscalar glueballs in pure Yang–Mills theory using a parameter-free fully self-contained truncation of Dyson–Schwinger and Bethe–Salpeter equations. The only input, the scale, is fixed by comparison with lattice calculations. We obtain ground state masses of $$1.9\,\text {GeV}$$ and $$2.6\,\text {GeV}$$ for the scalar and pseudoscalar glueballs, respectively, and $$2.6\,\text {GeV}$$ and $$3.9\,\text {GeV}$$ for the corresponding first excited states. This is in very good quantitative agreement with available lattice results. Furthermore, we predict masses for the second excited states at $$3.7\,\text {GeV}$$ and $$4.3\,\text {GeV}$$. The quality of the results hinges crucially on the self-consistency of the employed input. The masses are independent of a specific choice for the infrared behavior of the ghost propagator providing further evidence that this only reflects a nonperturbative gauge completion.
© The Author(s), 2020
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