Universality of the topological susceptibility in the SU(3) gauge theory

Lüscher, Martin; Palombi, Filippo

doi:10.1007/jhep09(2010)110

Cited by 69 publications

(75 citation statements)

References 24 publications

(42 reference statements)

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“…The relation between χ top and m 2 l,tot χ 5,disc given in Eq. 43 is often viewed as providing a good definition of χ top since the fermionic quantity has a better understood continuum limit [30,[72][73][74]. However, we compute χ top using a widely used method which usually gives consistent results so the discrepancy found here caused us to look carefully at our code and to seek further tests of our results for both χ top and χ 5,disc .…”

Section: Discussionmentioning

confidence: 99%

Chiral transition andU(1)Asymmetry restoration from lattice QCD using domain wall fermions

et al. 2012

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We present results on both the restoration of the spontaneously broken chiral symmetry and the effective restoration of the anomalously broken U (1) A symmetry in finite temperature QCD at zero chemical potential using lattice QCD. We employ domain wall fermions on lattices with fixed temporal extent N τ = 8 and spatial extent N σ = 16 in a temperature range of T = 139 − 195 MeV, corresponding to lattice spacings of a ≈ 0.12 − 0.18 fm. In these calculations, we include two degenerate light quarks and a strange quark at fixed pion mass m π = 200 MeV. The strange quark mass is set near its physical value. We also present results from a second set of finite temperature gauge configurations at the same volume and temporal extent with slightly heavier pion mass. To study chiral symmetry restoration, we calculate the chiral condensate, the disconnected chiral susceptibility, and susceptibilities in several meson channels of different quantum numbers. To study U (1) A restoration, we calculate spatial correlators in the scalar and pseudo-scalar channels, as well as the corresponding susceptibilities. Furthermore, we also show results for the eigenvalue spectrum of the Dirac operator as a function of temperature, which can be connected to both U (1) A and chiral symmetry restoration via Banks-Casher relations.

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Section: Discussionmentioning

confidence: 99%

Chiral transition andU(1)Asymmetry restoration from lattice QCD using domain wall fermions

et al. 2012

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“…A possible interpolator of the (charged) pion is the following 49) where ψ u and ψ d denote, respectively, the up and down quark fermionic fields. Since we are generally interested in the energy of a particle with a specific momentum, it is useful to introduce the Fourier transformed fields…”

Section: Masses and Decay Constantsmentioning

confidence: 99%

Critical slowing down and error analysis in lattice QCD simulations

2011

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, where a is the lattice spacing. In unquenched simulations with O(a) improved Wilson fermions we do not obtain a scaling law but find results compatible with the behavior that we find in the pure gauge theory. The discussion is supported by a large set of ensembles both in pure gauge and in the theory with two degenerate sea quarks. We have moreover investigated the effect of slow algorithmic modes in the error analysis of the expectation value of typical lattice QCD observables (hadronic matrix elements and masses). In the context of simulations affected by slow modes we propose and test a method to obtain reliable estimates of statistical errors. The method is supposed to help in the typical algorithmic setup of lattice QCD, namely when the total statistics collected is of O(10)τ exp . This is the typical case when simulating close to the continuum limit where the computational costs for producing two independent data points can be extremely large. We finally discuss the scale setting in N f = 2 simulations using the Kaon decay constant f K as physical input. The method is explained together with a thorough discussion of the error analysis employed. A description of the publicly available code used for the error analysis is included.ii ZusammenfassungIn dieser Arbeit untersuchen wir das Critical Slowing down der Gitter-QCD Simulationen. Wir führen eine Vorstudie in der quenched Approximation durch, in der wir feststellen, dass unsere Schätzung der exponentiellen Autokorrelation wie iii

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“…For recent high precision calculations of χ with periodic boundary condition see, for example, refs. [8][9][10]. Ref.…”

Section: Motivationmentioning

confidence: 99%

“…Ref. [10] employs a spectral-projector formula which is designed to be free from singularity and compares the result with that using the algebraic definition. The results using different approaches are in agreement with each other within statistical uncertainties.…”

Section: Motivationmentioning

confidence: 99%

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

Chowdhury

Harindranath

Maiti³

et al. 2014

J. High Energ. Phys.

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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.

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Universality of the topological susceptibility in the SU(3) gauge theory

Cited by 69 publications

References 24 publications

Chiral transition andU(1)Asymmetry restoration from lattice QCD using domain wall fermions

Chiral transition andU(1)Asymmetry restoration from lattice QCD using domain wall fermions

Critical slowing down and error analysis in lattice QCD simulations

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

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