Abhishek Chowdhury

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

A bstractWe 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.

Correlation and localization properties of topological charge density and the pseudoscalar glueball mass in SU(3) lattice Yang-Mills theory

In order to extract continuum properties, we study the topological charge density correlator (TCDC) and the inverse participation ratio (IPR) for the topological charge density

Topological susceptibility in lattice QCD with unimproved Wilson fermions

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Topological charge density correlator in Lattice QCD with two flavours of unimproved Wilson fermions

in SU(3) lattice Yang-Mills theory for relatively small lattice spacings, including some smaller than those explored before. With the help of a recently proposed open boundary condition, it is possible to compute observables at a smaller lattice spacing since the trapping problem is absent. On the other hand, the reference energy scale provided by the Wilson flow allows us to study their scaling behavior, in contrast to previously proposed smearing techniques. The behavior of the TCDC for different lattice spacings at a fixed hypercubic smearing level shows apparent scaling violations. In contrast, at a particular Wilson flow time

Open boundary condition, Wilson flow and the scalar glueball mass

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Exploring autocorrelations in two-flavor Wilson Lattice QCD using DD-HMC algorithm

for all of the lattice spacings investigated (except the largest one), the TCDC data show universal behavior within our statistical uncertainties. The continuum properties of the TCDC are studied by investigating the small-flow-time behavior. We also extract the pseudoscalar glueball mass from the TCDC, which appears to be insensitive to the lattice spacings (

Pion and nucleon in two flavour QCD with unimproved Wilson fermions

0.0345text{ }text{ }mathrm{fm}ensuremath{le}aensuremath{le}0.0667text{ }text{ }mathrm{fm}

Physical observables from boundary artifacts: scalar glueball in Yang-Mills theory

) and agrees with the value extracted using anisotropic lattices, within statistical errors. Further, we study the localization property of

Many avatars of the Wilson fermion: a perturbative analysis

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Quark mass, scale and volume dependence of topological charge density correlator in Lattice QCD

using the IPR (whose continuum behavior can be probed using small values of the Wilson flow time) and observe a decrease of the IPR with decreasing Wilson flow time. A detailed study of