Exploring the chiral regime with dynamical overlap fermions

Hideo Matsufuru (for the JLQCD; TWQCD Collaborations)

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Exploring the chiral regime with dynamical overlap fermions

Hideo Matsufuru (for the JLQCD, TWQCD Collaborations)

High Energy Physics - Lattice · Submitted 23 Oct 2007

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

The authors' main claim This talk mainly discusses the physics results on the $N_f=2$ lattice after describing the lattice formulation and algorithms.

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arXiv ID0710.4225 (version 1)

Pith IDH7RMITYN, Pith's permanent record of this paper and its review

CitationHideo Matsufuru (for the JLQCD, TWQCD Collaborations). "Exploring the chiral regime with dynamical overlap fermions." arXiv:0710.4225 (2007). https://pith.science/paper/H7RMITYN

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.30 · human participants 0.02 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.25 · compares with prior results 0.05 · mentions code or data availability 0.02.

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I report the status of the dynamical overlap fermion project by the JLQCD and TWQCD collaborations. So far, the simulations have been completed with two flavors of overlap sea quarks in a wide range of sea quark mass corresponding the $p$-regime and the $\epsilon$-regime on a $16^3\times 32$ lattice at $a=$0.12 fm. More recently, runs with 2+1 flavors of sea quarks have also started. This talk mainly discusses the physics results on the $N_f=2$ lattice after describing the lattice formulation and algorithms.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	I report the status of the dynamical overlap fermion project by the JLQCD and TWQCD collaborations.	contribution 0.93	0.64	0.03	asserted 0.89
s1	So far, the simulations have been completed with two flavors of overlap sea quarks in a wide range of sea quark mass corresponding the $p$-regime and the $\epsilon$-regime on a $16^3\times 32$ lattice at $a=$0.12 fm.	method 0.88	0.91	0.06	asserted 1.00
s2	More recently, runs with 2+1 flavors of sea quarks have also started.	contribution 0.44	0.88	0.03	asserted 1.00
s3	This talk mainly discusses the physics results on the $N_f=2$ lattice after describing the lattice formulation and algorithms.	contribution 0.72	0.31	0.06	asserted 0.95

What kind of paper the classifier reports this is: simulation study 1.00 · evidence from simulation or computation 1.00.

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full text
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The paper

Original abstract

I report the status of the dynamical overlap fermion project by the JLQCD and TWQCD collaborations. So far, the simulations have been completed with two flavors of overlap sea quarks in a wide range of sea quark mass corresponding the $p$-regime and the $\epsilon$-regime on a $16^3\times 32$ lattice at $a=$0.12 fm. More recently, runs with 2+1 flavors of sea quarks have also started. This talk mainly discusses the physics results on the $N_f=2$ lattice after describing the lattice formulation and algorithms.

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References

Forward citations

Cited by 3 Pith papers

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

Nucleon sigma term and strange quark content from lattice QCD with exact chiral symmetry
hep-lat 2008-06 conditional novelty 7.0 of 10

Two-flavor lattice QCD with overlap fermions yields a nucleon sigma term of about 53 MeV and a strange quark content y of about 0.03, far below earlier lattice values.
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.
Pion form factors from two-flavor lattice QCD with exact chiral symmetry
hep-lat 2009-05 conditional novelty 5.0 of 10

Two-flavor lattice QCD with overlap fermions yields pion vector and scalar charge radii of 0.409(23)(37) fm^2 and 0.617(79)(66) fm^2, and shows that next-to-next-to-leading-order chiral perturbation theory is required...

How the literature uses it

7 arXiv papers cite this in 14 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 · 10 sentences without a confident label

Uses its method or tool 1 paper

(For other physics results from this simulation, we refer [ref] and references therein.) The overlap fermion [ref] preserves exact chiral symmetry on the lattice, and there is no problem of the additive mass shift of the scalar density operator, that was a main source of the large systematic error in the previous calculations of the sigma term.

Nucleon sigma term and strange quark content from lattice QCD with exact chiral symmetry · Introduction · 0.83

Cites it as background 3 papers

To this end I want to draw the reader's attention to the plenary talks on recent simulations with domain wall fermions (DWF) [ref] , overlap fermions [ref] , twisted mass fermions (tmQCD) [ref] and clover improved Wilson fermions [ref] and also the two plenary talks by Creutz [ref] and Kronfeld [ref] [See also Sharpe's plenary talk last year [ref] .] discussing different perspectives on the consistency of the staggered fermion (KS) formulation.

Progress in kaon physics on the lattice · Introduction · 0.90
A report of the project at an earlier stage was presented by Hideo Matsufuru at Lattice 2007 [ref] , which mainly described the simulation itself.

Physics results from dynamical overlap fermion simulations · Introduction · 0.90
An overview of our project is presented in [ref] .

B_K with two flavors of dynamical overlap fermions · Introduction · 0.98

What it cites · 16 sentences without a confident label

Uses the method or tool of 18 papers

The former effect is evaluated by the formulae determined by Colangelo et al. [ref] , which is developed from the Lüscher's formula for the relation between the pion scattering amplitude and the mass-shift in a finite box [ref] .

Finite volume effects for meson masses and decay constants · Pion mass and decay constant · 0.97
We employ the Zolotarev rational approximation [ref] , [equation] where $h_W=H_W/λ_min$ with $λ_min$ the eigenvalue having the smallest absolute value. $d_0$, $c_l$, $b_l$ are easily calculable parameters.

Numerical Methods for the QCD Overlap Operator: I. Sign-Function and Error Bounds · Overlap operator · 1.00
We employ the Zolotarev rational approximation [ref] , [equation] where $h_W=H_W/λ_min$ with $λ_min$ the eigenvalue having the smallest absolute value. $d_0$, $c_l$, $b_l$ are easily calculable parameters.

A note on Zolotarev optimal rational approximation for the overlap Dirac operator · Overlap operator · 1.00

Uses data or values from 1 paper

At $m≃m_s/2$ , $a^-1≃1.7$ GeV, and on $16^3×32$ lattices, the domain-wall solver requires $O(800)$ iterations for a precision $|r|/|b|<10^-10$ according to Ref. [ref] , while the overlap solver requires $O(1200)$ iterations.

Lattice QCD with two dynamical flavors of domain wall quarks · Solver algorithms · 0.92

Compares with 2 papers

The result of $Σ$ is compared with our calculation in the $ϵ$-regime in Sec. [ref] [ref] .

Two-flavor lattice QCD simulation in the epsilon-regime with exact chiral symmetry · Pion mass and decay constant · 0.90
Figure [ref] compares the results of fits with the phenomenologically determined values ($f$ [ref] and $l̅_3^phys$ $l̅_4^phys$ [ref] ).

\pi\pi scattering · Pion mass and decay constant · 0.94

Cites as support 3 papers

As was shown in Refs. [ref] , this term successfully suppresses the near-zero modes of $H_W$.

JLQCD's dynamical overlap project · Topology fixing term · 0.99
As was shown in Refs. [ref] , this term successfully suppresses the near-zero modes of $H_W$.

Lattice gauge action suppressing near-zero modes of H_W · Topology fixing term · 0.99
As was shown in Refs. [ref] , this term successfully suppresses the near-zero modes of $H_W$.

Dynamical overlap fermion at fixed topology · Topology fixing term · 0.99

Cites as background 1 paper

As an alternative approach, the tunneling HMC has been proposed recently in Ref. [ref] .

The Tunneling Hybrid Monte-Carlo algorithm · Topology fixing term · 0.92

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