Equation of state for two flavor QCD at Nt=6

Claude Bernard, Tom Blum, Carleton DeTar, Steven Gottlieb, Kari Rummukainen, Urs M. Heller, James E. Hetrick, William D Toussaint, Leo Kärkkäinen, R. L. Sugar, Matthew Wingate

Research output: Contribution to journalArticle

115 Citations (Scopus)

Abstract

We calculate the two flavor equation of state for QCD on lattices with lattice spacing a=(6T) -1 and find that cutoff effects are substantially reduced compared to an earlier study using a=(4T)-1. However, it is likely that significant cutoff effects remain. We fit the lattice data to expected forms of the free energy density for a second order phase transition at zero-quark mass, which allows us to extrapolate the equation of state to mq=0 and to extract the speed of sound. We find that the equation of state depends weakly on the quark mass for small quark mass.

Original languageEnglish (US)
Pages (from-to)6861-6869
Number of pages9
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume55
Issue number11
StatePublished - Jun 1 1997

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Equation of State
Quarks
equations of state
quantum chromodynamics
quarks
cut-off
Extrapolate
Energy Density
Spacing
Free Energy
Phase Transition
flux density
Likely
free energy
spacing
Calculate
acoustics
Zero
Sound
Form

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

Bernard, C., Blum, T., DeTar, C., Gottlieb, S., Rummukainen, K., Heller, U. M., ... Wingate, M. (1997). Equation of state for two flavor QCD at Nt=6. Physical Review D - Particles, Fields, Gravitation and Cosmology, 55(11), 6861-6869.

Equation of state for two flavor QCD at Nt=6. / Bernard, Claude; Blum, Tom; DeTar, Carleton; Gottlieb, Steven; Rummukainen, Kari; Heller, Urs M.; Hetrick, James E.; Toussaint, William D; Kärkkäinen, Leo; Sugar, R. L.; Wingate, Matthew.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 55, No. 11, 01.06.1997, p. 6861-6869.

Research output: Contribution to journalArticle

Bernard, C, Blum, T, DeTar, C, Gottlieb, S, Rummukainen, K, Heller, UM, Hetrick, JE, Toussaint, WD, Kärkkäinen, L, Sugar, RL & Wingate, M 1997, 'Equation of state for two flavor QCD at Nt=6', Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 55, no. 11, pp. 6861-6869.
Bernard C, Blum T, DeTar C, Gottlieb S, Rummukainen K, Heller UM et al. Equation of state for two flavor QCD at Nt=6. Physical Review D - Particles, Fields, Gravitation and Cosmology. 1997 Jun 1;55(11):6861-6869.
Bernard, Claude ; Blum, Tom ; DeTar, Carleton ; Gottlieb, Steven ; Rummukainen, Kari ; Heller, Urs M. ; Hetrick, James E. ; Toussaint, William D ; Kärkkäinen, Leo ; Sugar, R. L. ; Wingate, Matthew. / Equation of state for two flavor QCD at Nt=6. In: Physical Review D - Particles, Fields, Gravitation and Cosmology. 1997 ; Vol. 55, No. 11. pp. 6861-6869.
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