SU(3) lattice gauge theory with a mixed fundamental and adjoint plaquette action: Lattice artefacts

Abstract

We study the four-dimensional SU(3) gauge model with a fundamental and an adjoint plaquette term in the action. We investigate whether corrections to scaling can be reduced by using a negative value of the adjoint coupling. To this end, we have studied the finite temperature phase transition, the static potential and the mass of the 0^{++} glueball. In order to compute these quantities we have implemented variance reduced estimators that have been proposed recently. Corrections to scaling are analysed in dimensionless combinations such as T_c/\sqrtσ and m_{0^{++}}/T_c. We find that indeed the lattice artefacts in e.g. m_{0^{++}}/T_c can be reduced considerably compared with the pure Wilson (fundamental) gauge action at the same lattice spacing.

arXiv comment36 pages, 12 figures

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• Biased Metropolis-Heat-Bath Algorithm for Fundamental-Adjoint SU(2) Lattice Gauge Theory
• Renormalization Group Therapy
• About a possible 3rd order phase transition at T=0 in 4D gluodynamics
• Static forces in d=2+1 SU(N) gauge theories
• Improving the improved action
• Drastic Reduction of Cutoff Effects in 2-d Lattice O(N) Models
• An Improved Single-Plaquette Gauge Action
• Targeting the Conformal Window: Scalars on the Lattice
• Lattice artefacts in SU(3) lattice gauge theory with a mixed fundamental and adjoint plaquette action
• Topological order and the vacuum of Yang-Mills theories
• Bulk-preventing actions for SU(N) gauge theories