CoChat
Sign Up
Cited by 158Quantum Chromodynamics and Particle InteractionsHigh-Energy Particle Collisions ResearchParticle physics theoretical and experimental studies

Phase structure and critical temperature of two-flavor QCD with a renormalization group improved gauge action and clover improved Wilson quark action

Open access
Ali Khan, A., Aoki, S., Burkhalter, R., Ejiri, S., Fukugita, M., Hashimoto, S., Ishizuka, N., Iwasaki, Y. +9 more·2000·Physical Review D
DOI 10.1103/physrevd.63.034502
Open this paper in CoChat — free accountOpen PDF

Abstract

We study the finite-temperature phase structure and the transition temperature of QCD with two flavors of dynamical quarks on a lattice with the temporal size ${N}_{t}=4,$ using a renormalization group improved gauge action and the Wilson quark action improved by the clover term. The region of a parity-broken phase is identified, and the finite-temperature transition line is located on a two-dimensional parameter space of the coupling $(\ensuremath{\beta}{=6/g}^{2})$ and hopping parameter K. Near the chiral transition point, defined as the crossing point of the critical line of the vanishing pion mass and the line of finite-temperature transition, the system exhibits behavior well described by the scaling exponents of the three-dimensional $O(4)$ spin model. This indicates a second-order chiral transition in the continuum limit. The transition temperature in the chiral limit is estimated to be ${T}_{c}=171(4)$ MeV.

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1103/physrevd.63.034502

Cites

47 of 47 references verified0 citation errors · 0 not checkable

Statistics

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • A strong decrease in the speed of sound, already above Tc, has been observed in lattice QCD.

    “A strong decrease in the speed of sound, already above T c , has been observed in lattice QCD, see [75, 76] for the most recent data.”

    From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [76]

    The Introduction mentions the equation of state, and Section B, “Finite-temperature transition,” reports crossover behavior and a pseudocritical temperature. Neither passage reports a speed-of-sound measurement or a decrease above Tc. Searches for speed of sound and its relation to pressure and energy density found no supporting passage in our copy; page numbers were unavailable. (LLM, conf=0.76)

    Experimental — accuracy not yet measured

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Cites

Flagged first, then by citations

Research works printed but not linked: 10

  1. For a recent review, see F. Karsch, Nucl. Phys. B ͑Proc. Suppl.͒ 83-84, 14 ͑2000͒.
  2. ͓3͔ For a review and references, see A. Ukawa, Nucl. Phys. B ͑Proc. Suppl.͒ 53, 106 ͑1997͒.
  3. ͓7͔ A preliminary account of our results has been presented in CP-PACS Collaboration, A. Ali Khan et al., Nucl. Phys. B ͑Proc. Suppl.͒ 83-84, 360 ͑2000͒.
  4. ͓13͔ S. Aoki, A. Ukawa, and T. Umemura ͑unpublished͒; referred in A. Ukawa, Nucl. Phys. B ͑Proc. Suppl.͒ 53, 106 ͑1997͒;
  5. S. Aoki, Nucl. Phys. B ͑Proc. Suppl.͒ 60A, 206 ͑1998͒.
  6. S. Aoki, T. Kaneda, A. Ukawa, and T. Umemura, Nucl. Phys. B ͑Proc. Suppl.͒ 53, 438 ͑1997͒.
  7. ͓17͔ S. Aoki, Y. Iwasaki, K. Kanaya, S. Kaya, A. Ukawa, and T. Yoshie ´, Nucl. Phys. B ͑Proc. Suppl.͒ 63, 397 ͑1998͒.
  8. ͓21͔ E. Laermann, Nucl. Phys. B ͑Proc. Suppl.͒ 63, 114 ͑1998͒.
  9. ͓24͔ CP-PACS Collaboration, R. Burkhalter, Nucl. Phys. B ͑Proc. Suppl.͒ 73, 3 ͑1999͒; CP-PACS Collaboration, S. Aoki et al., ibid. 73, 192 ͑1999͒; 73, 216 ͑1999͒;
  10. ͓25͔ CP-PACS Collaboration, A. Ali Khan et al., hep-lat/0004010. · arXiv

Cited by

Sorted by citations

Related

Authors
Ali Khan, A., Aoki, S., Burkhalter, R., Ejiri, S., Fukugita, M., Hashimoto, S., Ishizuka, N., Iwasaki, Y., Kanaya, K., Kaneko, T., Kuramashi, Y., Manke, T., Nagai, K., Okamoto, M., Okawa, M., Ukawa, A., & Yoshié, T.
Affiliations
  • University of Tsukuba (JP)
  • Institute for Cosmic Ray Research (JP)
  • High Energy Accelerator Research Organization (JP)
  • Washington University in St. Louis (US)
ORCID
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
2000-12-14
Volume
63
Issue
3
Pages
034502
ISSN
  • 0556-2821 (ISSN-L)
  • 1089-4918
DOI
10.1103/physrevd.63.034502
OpenAlex
W2024841059
Cited by
158
References
47
Citations by year
2026: 1 · 2025: 1 · 2024: 1 · 2023: 1 · 2022: 1 · 2021: 5 · 2019: 7 · 2018: 1 · 2017: 5 · 2016: 6 · 2015: 9 · 2014: 6 · 2013: 7 · 2012: 4
FWCI
8.48
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
  • Institutional Repositories DataBase (IRDB) (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • Institutional Repositories DataBase (IRDB) (submittedVersion, cc-by-nc-nd)
  • Terrestrial Environment Research Center (University of Tsukuba) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Quantum Chromodynamics and Particle Interactions
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › High-Energy Particle Collisions Research
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
Keywords
two-flavor QCD, critical temperature, chiral phase transition, scaling exponents, chiral limit, hopping parameter, pion mass

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review