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

2013/11/30 by Abhishek Chowdhury, A. Harindranath, Jyotirmoy Maiti +1
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Boundary value problem #Combinatorics #Computation #Extrapolation #Lattice (music) #Mathematical analysis #Mathematics #Particle physics theoretical and experimental studies #Periodic boundary conditions #Physics #Quantum Chromodynamics and Particle Interactions #Topology (electrical circuits) #hep-lat

paper · pdf · doi:10.1007/jhep02(2014)045

published as JHEP 1402 (2014) 045 · One figure added, replacement agrees with the published version

openalex publication_date 2014/02/01 · arxiv created 2014/06/30 · arxiv updated 2014/07/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations