The glueball spectrum of SU(3) gauge theory in 3 + 1 dimensions

Journal of High Energy Physics

Andreas Athenodorou¹  Michael Teper² 

[1] Dipartimento di Fisica, Università di Pisa and INFN, Sezione di Pisa, Largo Pontecorvo 3, 56127, Pisa, Italy;Computation-based Science and Technology Research Center, The Cyprus Institute, 20 Kavafi Str, 2121, Nicosia, Cyprus;Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Parks Road, OX1 3PU, Oxford, UK;All Souls College, University of Oxford, High Street, OX1 4AL, Oxford, UK;

关键词: Lattice Quantum Field Theory;    Nonperturbative Effects;    Lattice QCD;   

DOI  :  10.1007/JHEP11(2020)172

来源: Springer

【 摘 要 】

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.

【 授权许可】

CC BY