scholarly journals Glueball Spectrum of SU(3) Lattice Gauge Theory by Plaquette Expansion

1998 ◽  
Vol 51 (1) ◽  
pp. 35 ◽  
Author(s):  
Lloyd C. L. Hollenberg ◽  
M. P. Wilson
Keyword(s):  
Gauge Theory ◽  
Energy Density ◽  
Ground State ◽  
State Energy ◽  
Lattice Gauge Theory ◽  
String Tension ◽  
Diagonal Form ◽  
Lattice Gauge ◽  
Glueball Spectrum ◽  
The Masses

By casting the Hamiltonian of pure SU(3) in 3+1 space–time dimensions into approximate tri-diagonal form we study the glueball spectrum of the system. In particular we obtain estimates for the ground state energy density, the string tension σ, and the masses of the lowest lying 0++ , 1 + - and 2 ++ glueballs. These initial calculations lead to estimates of various mass ratios in general agreement with other studies of the spectrum.

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

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Andreas Athenodorou ◽  
Michael Teper
Keyword(s):  
Gauge Theory ◽  
Continuum Limit ◽  
Lattice Gauge Theory ◽  
Rotation Group ◽  
String Tension ◽  
Energy Scale ◽  
Lattice Gauge ◽  
Glueball Spectrum ◽  
Do So ◽  
The Continuum

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.

Exact ground state, mass gap, and string tension in lattice gauge theory

1988 ◽  
Vol 38 (8) ◽  
pp. 2591-2601 ◽  
Author(s):  
Guo Shuohong ◽  
Zheng Weihong ◽  
Liu Jinming
Keyword(s):  
Gauge Theory ◽  
Ground State ◽  
Lattice Gauge Theory ◽  
String Tension ◽  
Mass Gap ◽  
Lattice Gauge ◽  
Exact Ground State

The exact ground state of a Hamiltonian lattice gauge theory

1985 ◽  
Vol 2 (9) ◽  
pp. 409-412 ◽  
Author(s):  
Guo Shuo-hong ◽  
Liu Jin-ming ◽  
Chen Qi-zhou
Keyword(s):  
Gauge Theory ◽  
Ground State ◽  
Lattice Gauge Theory ◽  
Lattice Gauge ◽  
Exact Ground State ◽  
Hamiltonian Lattice

scholarly journals Exact ground-state properties of the SU(2) Hamiltonian lattice gauge theory

1985 ◽  
Vol 31 (12) ◽  
pp. 3201-3212 ◽  
Author(s):  
S. A. Chin ◽  
O. S. van Roosmalen ◽  
E. A. Umland ◽  
S. E. Koonin
Keyword(s):  
Gauge Theory ◽  
Ground State ◽  
Lattice Gauge Theory ◽  
Lattice Gauge ◽  
Exact Ground State ◽  
Ground State Properties ◽  
Hamiltonian Lattice
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