Published November 30, 2020 | Version final

The glueball spectrum of SU(3) gauge theory in 3 + 1 dimensions - Extensive data tables provided from page 31 - page 48

  • 1. University of Pisa
  • 2. University of Oxford

Description

Abstract: We calculate the low-lying glueball spectrum of the SU(3) lattice gauge theory in 3 + 1 dimensions for the range β ≤ 6.50 using the standard plaquette action. We do so for states in all the representations R of the cubic rotation group, and for both values of parity P and charge conjugation C. We extrapolate these results to the continuum limit of the theory using the confining string tension σ as our energy scale. We also present our results in units of the r0 scale and, from that, in terms of physical ‘GeV’ units. For a number of these states we are able to identify their continuum spins J with very little ambiguity. We also calculate the topological charge Q of the lattice gauge fields so as to show that we have sufficient ergodicity throughout our range of β, and we calculate the multiplicative renormalisation of Q as a function of β. We also obtain the continuum limit of the SU(3) topological susceptibility.

Notes

The article has been published in Journal of High Energy Physics: https://link.springer.com/article/10.1007%2FJHEP11%282020%29172 It provides a detailed collection of tables with all the results needed to reproduce secondary quantities. Raw data such as correlation matrices can be provided upon request.

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Athenodorou-Teper2020_Article_TheGlueballSpectrumOfSU3GaugeT.pdf

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Additional details

Funding

European Commission
Tips in SCQFT - Lattice gauge theories studies of timely theoretical and phenomenological questions in strongly coupled quantum field theories. 791122