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The glueball spectrum of SU(3) gauge theory in 3 + 1 dimensions
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Journal Article
The glueball spectrum of SU(3) gauge theory in 3 + 1 dimensions
2020
Overview
A
bstract
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
r
0 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.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
