Open Boundary Condition, Wilson Flow and the Scalar Glueball Mass

Abstract

A major problem with periodic boundary condition on the gauge fields used in current lattice gauge theory simulations is the trapping of topological charge in a particular sector as the continuum limit is approached. To overcome this problem open boundary condition in the temporal direction has been proposed recently. One may ask whether open boundary condition can reproduce the observables calculated with periodic boundary condition. In this work we find that the extracted lowest glueball mass using open and periodic boundary conditions at the same lattice volume and lattice spacing agree for the range of lattice scales explored in the range 3 GeV $\le$ 1/a $\le$ 5 GeV. The problem of trapping is overcome to a large extent with open boundary and we are able to extract the glueball mass at even larger lattice scale $\approx$ 5.7 GeV. To smoothen the gauge fields and to reduce the cut off artifacts recently proposed Wilson flow is used. The extracted glueball mass shows remarkable insensitivity to the lattice spacings in the range explored in this work, 3 GeV $\le$ 1/a $\le$ 5.7 GeV.

Replacement agrees with published version

References in corpus (3)

• Perturbative analysis of the gradient flow in non-abelian gauge theories
• High-precision scale setting in lattice QCD
• Topological susceptibility in lattice Yang-Mills theory with open boundary condition

Cited by in corpus (10)

• Topological susceptibility and the sampling of field space in $N_f=2$ lattice QCD simulations
• Glueball scattering cross section in lattice SU(2) Yang-Mills theory
• Correlation and localization properties of topological charge density and the pseudoscalar glueball mass in SU(3) lattice Yang-Mills theory
• A multilevel algorithm for flow observables in gauge theories
• Noise reduction algorithm for Glueball correlators
• The running coupling of 8 flavors and 3 colors
• Physical observables from boundary artifacts: scalar glueball in Yang-Mills theory
• Open-Boundary Conditions in the Deconfined Phase
• Effects of boundary conditions and gradient flow in 1+1 dimensional lattice ${\varphi }^4$ theory
• Investigating some technical improvements to glueball calculations