QCD thermodynamics with continuum extrapolated dynamical overlap fermions

B.C. Toth; D. Nogradi; F. Pittler; K.K. Szabo; Sz. Borsanyi; T.Lippert; Z. Fodor S.D. Katz S. Krieg

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QCD thermodynamics with continuum extrapolated dynamical overlap fermions

Sz. Borsanyi, Z. Fodor S.D. Katz S. Krieg, T.Lippert, D. Nogradi, F. Pittler, K.K. Szabo, B.C. Toth

High Energy Physics - Lattice · Submitted 12 Oct 2015

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The authors' main claim Nice agreement is found between the overlap and staggered results.

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arXiv ID1510.03376 (version 1)

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CitationB.C. Toth, D. Nogradi, F. Pittler, K.K. Szabo, Sz. Borsanyi, T.Lippert, Z. Fodor S.D. Katz S. Krieg. "QCD thermodynamics with continuum extrapolated dynamical overlap fermions." arXiv:1510.03376 (2015). https://pith.science/paper/CPW3L673

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What the abstract itself states, as probabilities: claims first 0.93 · states limitation 0.75 · human participants 0.01 · controlled comparison 0.51 · randomized assignment 0.01 · states quantitative result 0.81 · compares with prior results 0.98 · mentions code or data availability 0.02.

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We study the finite temperature transition in QCD with two flavors of dynamical fermions at a pseudoscalar pion mass of about 350 MeV. We use lattices with temporal extent of $N_t$=8, 10 and 12. For the first time in the literature a continuum limit is carried out for several observables with dynamical overlap fermions. These findings are compared with results obtained within the staggered fermion formalism at the same pion masses and extrapolated to the continuum limit. The presented results correspond to fixed topology and its effect is studied in the staggered case. Nice agreement is found between the overlap and staggered results.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We study the finite temperature transition in QCD with two flavors of dynamical fermions at a pseudoscalar pion mass of about 350 MeV.	contribution 0.93	0.94	0.05	asserted 0.96
s1	We use lattices with temporal extent of $N_t$=8, 10 and 12.	method 1.00	0.93	0.02	asserted 0.99
s2	For the first time in the literature a continuum limit is carried out for several observables with dynamical overlap fermions.	contribution 0.96	0.89	0.17	asserted 1.00
s3	These findings are compared with results obtained within the staggered fermion formalism at the same pion masses and extrapolated to the continuum limit.	method 0.47	0.50	0.13	asserted 0.94
s4	The presented results correspond to fixed topology and its effect is studied in the staggered case.	limitation 0.45	0.69	0.05	asserted 0.97
s5	Nice agreement is found between the overlap and staggered results.	result 0.95	0.89	0.56	asserted 1.00

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Original abstract

We study the finite temperature transition in QCD with two flavors of dynamical fermions at a pseudoscalar pion mass of about 350 MeV. We use lattices with temporal extent of $N_t$=8, 10 and 12. For the first time in the literature a continuum limit is carried out for several observables with dynamical overlap fermions. These findings are compared with results obtained within the staggered fermion formalism at the same pion masses and extrapolated to the continuum limit. The presented results correspond to fixed topology and its effect is studied in the staggered case. Nice agreement is found between the overlap and staggered results.

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7 arXiv papers cite this in 7 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 · 6 sentences without a confident label

Cites it as background 1 paper

On the other hand, the properties of quantum chromodynamics at finite temperatures have been the subject of many publications (see, e.g., Refs. [ref] .

Quantum Chromodynamics, Antiferromagnets and XY Models from a Unified Point of View · Motivation · 0.99

What it cites · 17 sentences without a confident label

Builds on 1 paper

In this paper we continue our thermodynamic investigations with overlap fermions started in 2012 in Ref. [ref] .

QCD thermodynamics with dynamical overlap fermions · Introduction · 1.00

Uses the method or tool of 13 papers

The scale is set by the $w_0$ parameter [ref] and our line of constant physics (LCP) is defined by the condition $m_πw_0=0.312$.

High-precision scale setting in lattice QCD · Overlap simulation details · 0.93
* ensembles are generated using the Hybrid Monte Carlo (HMC) algorithm with the Zolotarev approximation of the sign function [ref] .

Dynamical overlap fermions, results with hybrid Monte-Carlo algorithm · Overlap simulation details · 1.00
* ensembles are generated using the Hybrid Monte Carlo (HMC) algorithm with the Zolotarev approximation of the sign function [ref] .

Numerical Methods for the QCD Overlap Operator: I. Sign-Function and Error Bounds · Overlap simulation details · 1.00

Cites as background 6 papers

Since the first dynamical overlap study [ref] there have been a number of finite temperature results using overlap [ref] or domain wall [ref] fermions.

QCD thermodynamics with dynamical overlap fermions · Introduction · 0.85
Since the first dynamical overlap study [ref] there have been a number of finite temperature results using overlap [ref] or domain wall [ref] fermions.

Finite temperature study of the axial U(1) symmetry on the lattice with overlap fermion formulation · Introduction · 0.85
Since the first dynamical overlap study [ref] there have been a number of finite temperature results using overlap [ref] or domain wall [ref] fermions.

The QCD chiral transition, $\ua$ symmetry and the Dirac spectrum using domain wall fermions · Introduction · 0.85

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