Finite-size effects and Tc for β = 5.445 with two staggered flavors

Claude Bernard; Michael C. Ogilvie; Thomas A. DeGrand; Carleton DeTar; Steven Gottlieb; A. Krasnitz; R. L. Sugar; D. Toussaint

doi:10.1016/0920-5632(92)90247-P

Finite-size effects and T_c for β = 5.445 with two staggered flavors

Claude Bernard
, Michael C. Ogilvie
, Thomas A. DeGrand
, Carleton DeTar
, Steven Gottlieb
, A. Krasnitz
, R. L. Sugar
, D. Toussaint

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We have studied the spectrum on lattice sizes 8³, 10³, 12³, and 16⁴ × 24 for 6/g² = 5.445 and am_q = 0.025. We find small finite size effects. With much smaller errors than earlier results, we find no improvement in the Edinburgh plot as the lattice spacing decreases from ≈ 0.25 fm to ≈ 0.15 fm. The improved values of the rho and nucleon masses allow a more precise determination of the temperature of chiral symmetry restoration.

Original language	English (US)
Pages (from-to)	262-264
Number of pages	3
Journal	Nuclear Physics B (Proceedings Supplements)
Volume	26
Issue number	C
DOIs	https://doi.org/10.1016/0920-5632(92)90247-P
State	Published - 1992
Externally published	Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics

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10.1016/0920-5632(92)90247-P

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@article{183d2c26fca94d78bc71b7bf8f90dd2d,

title = "Finite-size effects and Tc for β = 5.445 with two staggered flavors",

abstract = "We have studied the spectrum on lattice sizes 83, 103, 123, and 164 × 24 for 6/g2 = 5.445 and amq = 0.025. We find small finite size effects. With much smaller errors than earlier results, we find no improvement in the Edinburgh plot as the lattice spacing decreases from ≈ 0.25 fm to ≈ 0.15 fm. The improved values of the rho and nucleon masses allow a more precise determination of the temperature of chiral symmetry restoration.",

author = "Claude Bernard and \{C. Ogilvie\}, Michael and DeGrand, \{Thomas A.\} and Carleton DeTar and Steven Gottlieb and A. Krasnitz and Sugar, \{R. L.\} and D. Toussaint",

note = "Funding Information: It is important to study other quark masses and to try to make quantitative contact with the analytic predictions. Since the leading effects havethe nucleon mass approaching its asymptotic limit from below, only our last two points are of value in making such contact. Perhaps the effects ofsqueezingthe hadrons dominate the asymptotic effects until the latter are very small. In any case, very high statistics will be required to demonstrate agreement with the analytic results. We hope that careful work at this coupling will set the physical box size for the most agres-sive calculations at weak coupling . We thank the SDSC staff and Intel Supercomputer Systems Division for their assistance . Computations performed at the San Diego Supercomputer Center, NASA/Ames lab, and the SSC lab. This work was supported by the U.S. Department of Energy and by the National Science Foundation .",

year = "1992",

doi = "10.1016/0920-5632(92)90247-P",

language = "English (US)",

volume = "26",

pages = "262--264",

journal = "Nuclear Physics B (Proceedings Supplements)",

issn = "0920-5632",

publisher = "Elsevier B.V.",

number = "C",

}

TY - JOUR

T1 - Finite-size effects and Tc for β = 5.445 with two staggered flavors

AU - Bernard, Claude

AU - C. Ogilvie, Michael

AU - DeGrand, Thomas A.

AU - DeTar, Carleton

AU - Gottlieb, Steven

AU - Krasnitz, A.

AU - Sugar, R. L.

AU - Toussaint, D.

N1 - Funding Information: It is important to study other quark masses and to try to make quantitative contact with the analytic predictions. Since the leading effects havethe nucleon mass approaching its asymptotic limit from below, only our last two points are of value in making such contact. Perhaps the effects ofsqueezingthe hadrons dominate the asymptotic effects until the latter are very small. In any case, very high statistics will be required to demonstrate agreement with the analytic results. We hope that careful work at this coupling will set the physical box size for the most agres-sive calculations at weak coupling . We thank the SDSC staff and Intel Supercomputer Systems Division for their assistance . Computations performed at the San Diego Supercomputer Center, NASA/Ames lab, and the SSC lab. This work was supported by the U.S. Department of Energy and by the National Science Foundation .

PY - 1992

Y1 - 1992

N2 - We have studied the spectrum on lattice sizes 83, 103, 123, and 164 × 24 for 6/g2 = 5.445 and amq = 0.025. We find small finite size effects. With much smaller errors than earlier results, we find no improvement in the Edinburgh plot as the lattice spacing decreases from ≈ 0.25 fm to ≈ 0.15 fm. The improved values of the rho and nucleon masses allow a more precise determination of the temperature of chiral symmetry restoration.

AB - We have studied the spectrum on lattice sizes 83, 103, 123, and 164 × 24 for 6/g2 = 5.445 and amq = 0.025. We find small finite size effects. With much smaller errors than earlier results, we find no improvement in the Edinburgh plot as the lattice spacing decreases from ≈ 0.25 fm to ≈ 0.15 fm. The improved values of the rho and nucleon masses allow a more precise determination of the temperature of chiral symmetry restoration.

UR - https://www.scopus.com/pages/publications/4243917102

UR - https://www.scopus.com/pages/publications/4243917102#tab=citedBy

U2 - 10.1016/0920-5632(92)90247-P

DO - 10.1016/0920-5632(92)90247-P

M3 - Article

AN - SCOPUS:4243917102

SN - 0920-5632

VL - 26

SP - 262

EP - 264

JO - Nuclear Physics B (Proceedings Supplements)

JF - Nuclear Physics B (Proceedings Supplements)

IS - C

ER -

Finite-size effects and T_c for β = 5.445 with two staggered flavors

Abstract

ASJC Scopus subject areas

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