Physics issues in simulations with dynamical overlap fermions

Stefan Schaefer; Thomas DeGrand

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Physics issues in simulations with dynamical overlap fermions

Thomas DeGrand, Stefan Schaefer

High Energy Physics - Lattice · Submitted 1 Dec 2004

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We discuss the impact of various improvements on simulations of dynamical overlap fermions using the Hybrid Monte Carlo algorithm.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.10 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.19 · mentions code or data availability 0.02.

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We discuss the impact of various improvements on simulations of dynamical overlap fermions using the Hybrid Monte Carlo algorithm. We focus on the usage of fat links and multiple pseudo-fermion fields.

background contribution method result interpretation main claim

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We discuss the impact of various improvements on simulations of dynamical overlap fermions using the Hybrid Monte Carlo algorithm.	contribution 0.97	0.60	0.07	unclear 0.62
s1	We focus on the usage of fat links and multiple pseudo-fermion fields.	method 0.52	0.52	0.06	asserted 0.57

What kind of paper the classifier reports this is: simulation study 0.99 · evidence from simulation or computation 0.98.

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The paper

Original abstract

We discuss the impact of various improvements on simulations of dynamical overlap fermions using the Hybrid Monte Carlo algorithm. We focus on the usage of fat links and multiple pseudo-fermion fields.

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References

Forward citations

Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Two-flavor QCD simulation with exact chiral symmetry
hep-lat 2008-03 conditional novelty 6.0 of 10

Two-flavor lattice QCD with exactly chiral overlap quarks is now simulable at 0.12 fm spacing and sea masses down to a sixth of the strange mass, with the lattice spacing fixed at a = 0.1184(3)(17)(12) fm.
Finite-size scaling tests for SU(3) lattice gauge theory with color sextet fermions
hep-lat 2009-10 conditional novelty 5.0 of 10

Finite-size scaling of lattice data for SU(3) with two color-sextet fermions yields a mass-scaling exponent y_m around 1.5 at two bare couplings, with valence Dirac eigenvalue scaling giving a similar value at one coupling.
Hypercubic Smeared Links for Dynamical Fermions
hep-lat 2007-02 conditional novelty 5.0 of 10

Replacing SU(3) projection with unitary normalization in hypercubic link smearing yields a differentiable smearing that matches projected smearing at ultraviolet noise removal and works in dynamical fermion simulations.
Lattice gauge action suppressing near-zero modes of H_W
hep-lat 2006-07 conditional novelty 5.0 of 10

A lattice action with extra negative-mass Wilson fermions produces a measured gap in the spectral density of the hermitian Wilson-Dirac operator near zero, removing the near-zero-mode bottleneck for overlap fermions.
Lattice QCD with fixed topology
hep-lat 2006-03 conditional novelty 5.0 of 10

Fixed-topology lattice QCD with an admissible gauge action or a negative-mass Wilson determinant stabilizes the topological charge and reproduces known low-energy constants in the epsilon-regime.

Show 2 more citing papers

The phase diagram of quantum chromodynamics
hep-ph 2009-08 accept novelty 2.0 of 10

Lattice QCD places the zero-density confinement transition at roughly 151 to 175 MeV and finds it to be an analytic crossover, while the nonzero-density critical point remains unlocated.
Theta dependence of SU(N) gauge theories in the presence of a topological term
hep-th 2008-03 accept novelty 2.0 of 10

Lattice measurements of the topological susceptibility and its theta-expansion coefficients in SU(N) gauge theory agree with large-N scaling and the Witten-Veneziano explanation of the U(1)_A problem.

How the literature uses it

22 arXiv papers cite this in 25 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 13 sentences without a confident label

Uses its method or tool 7 papers

The standard, and only known, method to modify the Hybrid Monte Carlo algorithm for a discontinuous action is the transmission/reflection algorithm first proposed in [ref] and refined in several subsequent papers [ref] , together with the eigenvector differentiation algorithm proposed in [ref] , which is required to accurately differentiate near degenerate pairs of eigenvectors whose eigenvalues lie close to a discontinuity.

Topology of dynamical lattice configurations including results from dynamical overlap fermions · Dynamical overlap configurations · 0.81
Details of our action are to be found in Refs. [ref] .

The complete lowest order chiral Lagrangian from a little box · The project, in a nutshell · 0.80
Details of the actions are described in Refs. [ref] .

Topological susceptibility in two-flavor QCD · Simulations · 0.92

Compares with it 1 paper

The results in a larger box of $1.5 fm$ and at smaller quark mass $m_q ≈20 MeV$ obtained in [ref] were consistent with those of [ref] .

2+1 Flavor QCD simulated in the epsilon-regime in different topological sectors · Introduction · 0.86

Cites it as support 1 paper

In fact, it has been observed earlier that for Ginsparg-Wilson fermions changing the topology is a far greater challenge already on relatively coarse lattices [ref] .

Lattice QCD: concepts, techniques and some results · Some important crosschecks · 0.99

Cites it as background 3 papers

Dynamical overlap fermions have been attempted by several authors [ref] , in which the treatment of the topology tunneling is one of the main issues.

Physics results from dynamical overlap fermion simulations · Simulation strategy and status · 0.97
The HMC simulation with the overlap fermion was first attempted by Fodor, Katz and Szabo [ref] and soon followed by two other groups [ref] .

Two-flavor lattice QCD in the epsilon-regime and chiral Random Matrix Theory · HMC simulations · 0.99
Other approaches have been discussed in Refs. [ref] .

Dynamical Simulations with Highly Improved Staggered Quarks · Introduction · 0.99

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