Critical slowing down of topological modes

Debbio, Luigi Del; Manca, G. M.; Vicari, Ettore

doi:10.1016/j.physletb.2004.05.038

Cited by 103 publications

(157 citation statements)

References 41 publications

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“…In particular we checked that Q is compatible with zero and that the topological charge is not frozen. Indeed it is well known that, while approaching the continuum limit, the autocorrelation time of the topological charge increases very steeply until no tunneling events between different sectors happen anymore [28][29][30][31][32]. An example of this behavior can be observed in figure 1, where some time-histories for zero temperature runs are showed, for three different lattice spacings.…”

Section: Jhep03(2016)155mentioning

confidence: 85%

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Axion phenomenology and θ-dependence from N f = 2 + 1 lattice QCD

Bonati

D’Elia

Mariti

et al. 2016

J. High Energ. Phys.

175

218

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We investigate the topological properties of N f = 2 + 1 QCD with physical quark masses, both at zero and finite temperature. We adopt stout improved staggered fermions and explore a range of lattice spacings a ∼ 0.05− 0.12 fm. At zero temperature we estimate both finite size and finite cut-off effects, comparing our continuum extrapolated results for the topological susceptibility χ with predictions from chiral perturbation theory. At finite temperature, we explore a region going from T c up to around 4 T c , where we provide continuum extrapolated results for the topological susceptibility and for the fourth moment of the topological charge distribution. While the latter converges to the dilute instanton gas prediction the former differs strongly both in the size and in the temperature dependence. This results in a shift of the axion dark matter window of almost one order of magnitude with respect to the instanton computation.

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Section: Jhep03(2016)155mentioning

confidence: 85%

“…to different topological sectors, which can be hardly crossed by standard algorithms [28][29][30][31][32]. That causes a loss of ergodicity which, in principle, can spoil any effort to approach the continuum limit itself.…”

Section: General Frameworkmentioning

confidence: 99%

Axion phenomenology and θ-dependence from N f = 2 + 1 lattice QCD

Bonati

D’Elia

Mariti

et al. 2016

J. High Energ. Phys.

175

218

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“…In general, 100-trajectory jackknife blocks produce uncertainties roughly 25% larger than those from the 50-trajectory blocks we use, which led us to increase our error estimates by this factor. The global topological charge Q is well known to exhibit particularly severe auto-correlations, especially as the lattice spacing decreases [63,64] or N f increases [12,30]. Conveniently, the Wilson flow measurements of t 2 E(t) discussed above also determine the topological charge, as shown in Eq.…”

Section: Pv Acknowledge the Support Of The Doe Under Contract De-acmentioning

confidence: 99%

Lattice simulations with eight flavors of domain wall fermions in SU(3) gauge theory

Appelquist¹,

Brower²,

Fleming³

et al. 2014

Phys. Rev. D

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We study an SU(3) gauge theory with N f = 8 degenerate flavors of light fermions in the fundamental representation. Using the domain wall fermion formulation, we investigate the light hadron spectrum, chiral condensate ψψ and electroweak S parameter. We consider a range of light fermion masses on two lattice volumes at a single gauge coupling chosen so that IR scales approximately match those from our previous studies of the two-and six-flavor systems. Our results for the N f = 8 spectrum suggest spontaneous chiral symmetry breaking, though fits to the fermion mass dependence of spectral quantities do not strongly disfavor the hypothesis of mass-deformed infrared conformality. Compared to N f = 2 we observe a significant enhancement of ψψ relative to the symmetry breaking scale F , similar to the situation for N f = 6. The reduction of the S parameter, related to parity doubling in the vector and axial-vector channels, is also comparable to our six-flavor results.

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“…[29,55,70,75,77,95,113,114,124,125,193,201,202,299,331,338,350,374,393,450,451,458,475,533,535,554]. A wide range of values of N has been considered, both small and large, in order to test large-N calculations.…”

Section: Lattice Calculations At θ =mentioning

confidence: 99%

“…[75,77,95,124,201,202,205,243,393], have been dedicated to the N = 2 case, which also corresponds to the O(3) nonlinear σ model. The most recent simulations using the so-called [193] (N = 10, 15, 21, obtained by the geometrical method), by a circle from Ref. [533] (N = 41, geometrical method), by a box from Ref.…”

Section: Lattice Calculations At θ =mentioning

confidence: 99%

θ dependence of SU(N) gauge theories in the presence of a topological term

2009

Self Cite

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We review results concerning the θ dependence of 4D SU (N ) gauge theories and QCD, where θ is the coefficient of the CP-violating topological term in the Lagrangian. In particular, we discuss θ dependence in the large-N limit.Most results have been obtained within the lattice formulation of the theory via numerical simulations. We review results at zero and finite temperature. We show that the results support the scenario obtained by general large-N scaling arguments, and in particular the Witten-Veneziano mechanism to explain the U (1) A problem. We also compare with results obtained by other approaches, especially in the large-N limit, where the issue has been also addressed using, for example, the AdS/CFT correspondence.We discuss issues related to theta dependence in full QCD: the neutron electric dipole moment, the dependence of the topological susceptibility on the quark masses, the U (1) A symmetry breaking at finite temperature.We also review results in the 2D CP N −1 model, which is an interesting theoretical laboratory to study issues related to topology.Finally, we discuss the main features of the two-point correlation function of the topological charge density.

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Critical slowing down of topological modes

Cited by 103 publications

References 41 publications

Axion phenomenology and θ-dependence from N f = 2 + 1 lattice QCD

Axion phenomenology and θ-dependence from N f = 2 + 1 lattice QCD

Lattice simulations with eight flavors of domain wall fermions in SU(3) gauge theory

θ dependence of SU(N) gauge theories in the presence of a topological term

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