Topological susceptibility in lattice Yang-Mills theory with open boundary condition

Abstract

We find that using open boundary condition in the temporal direction can yield the expected value of the topological susceptibility in lattice SU(3) Yang-Mills theory. As a further check, we show that the result agrees with numerical simulations employing the periodic boundary condition. Our results support the preferability of the open boundary condition over the periodic boundary condition as the former allows for computation at smaller lattice spacings needed for continuum extrapolation at a lower computational cost.

One figure added, replacement agrees with the published version

References in corpus (5)

• Perturbative analysis of the gradient flow in non-abelian gauge theories
• High-precision scale setting in lattice QCD
• Chiral symmetry breaking and the Banks--Casher relation in lattice QCD with Wilson quarks
• Topological charge density correlator in Lattice QCD with two flavours of unimproved Wilson fermions
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• Electric Dipole Moment Results from lattice QCD
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• Effects of boundary conditions and gradient flow in 1+1 dimensional lattice ${\varphi }^4$ theory
• Strong CP Violation and large-$N_c$ spin-flavor symmetry