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

Chowdhury, Abhishek; Harindranath, A.; Maiti, Jyotirmoy; Majumdar, Parthasarathi

doi:10.1007/jhep02(2014)045

Cited by 21 publications

(27 citation statements)

References 33 publications

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“…One would like to continue these calculations to even higher lattice scale which however eventually will face the problem of efficient spanning of the space of gauge configurations. Such trapping has been already demonstrated [11]. It is interesting to investigate whether the open boundary condition can reproduce the glueball masses extracted with periodic boundary condition at reasonably small lattice spacings achieved so far and whether the former can be extended to even smaller lattice spacings.…”

Section: Motivationmentioning

confidence: 74%

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Open boundary condition, Wilson flow and the scalar glueball mass

Chowdhury

Harindranath

Maiti

2014

J. High Energ. Phys.

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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 ≤ 1 a ≤ 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 ≈ 5.7 GeV. To smoothen the gauge fields we have used recently proposed Wilson flow which, compared to HYP smearing, exhibits better systematics in the extraction of glueball mass. The extracted glueball mass shows remarkable insensitivity to the lattice spacings in the range explored in this work, 3 GeV ≤ 1 a ≤ 5.7 GeV.

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Section: Motivationmentioning

confidence: 74%

“…In ref. [11], we have addressed the question whether open boundary condition in the temporal direction can yield the expected value of χ. We have shown that with the open boundary it is possible to get the expected value of χ and the result agrees with our own numerical simulation employing periodic boundary condition.…”

Section: Motivationmentioning

confidence: 99%

Open boundary condition, Wilson flow and the scalar glueball mass

Chowdhury

Harindranath

Maiti

2014

J. High Energ. Phys.

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“…In the recent literature the problem of very long autocorrelation times and of the theoretical control over the systematic error in numerical simulations has been addressed in a series of papers [2,3,5,[7][8][9][10] and several solutions to the topological critical slowing down have been proposed [4,6,[19][20][21][22][23][24][25].…”

Section: Jhep07(2016)089mentioning

confidence: 99%

“…This corresponds to the critical slowing down occurring in statistical systems close to a second order phase transition. In addition, in these systems, a particularly dramatic increase of autocorrelation time is observed in the case of the topological charge, independently of the precise discretized definition which is used in the simulation on the lattice [1][2][3][4][5][6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Metadynamics surfing on topology barriers: the CP N−1 case

Laio

Martinelli

Sanfilippo

2016

J. High Energ. Phys.

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As one approaches the continuum limit, QCD systems, investigated via numerical simulations, remain trapped in sectors of field space with fixed topological charge. As a consequence the numerical studies of physical quantities may give biased results. The same is true in the case of two dimensional CP N −1 models. In this paper we show that metadynamics, when used to simulate CP N −1 , allows to address efficiently this problem. By studying CP 20 we show that we are able to reconstruct the free energy of the topological charge F (Q) and compute the topological susceptibility as a function of the coupling and of the volume. This is a very important physical quantity in studies of the dynamics of the θ vacuum and of the axion. This method can in principle be extended to QCD applications.

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“…Over the last year or so the topological susceptibility of the SU(3) Yang-Mills theory has been computed by several groups on a rich set of lattices with a statistical error of a few percent [69,70,64,71]. The results are shown in the left plot of Figure 5 together with the older results obtained with the Neuberger [32] and with the spectral projector [72] Figure 5.…”

Section: First Two Cumulants Of the Charge Distribution In The Su(3) mentioning

confidence: 99%