Equation of State for the SU(3) Gauge Theory

Journal Article · Mon Dec 04 04:00:00 EST 1995 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.75.4169· OSTI ID:147886

Boyd, G; Engels, J; Karsch, F; Laermann, E; Legeland, C; Luetgemeier, M; Petersson, B ^[1]

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1. Fakultaet fuer Physik, Universitaet Bielefeld, D-33615 Bielefeld (Germany)

By investigating the SU(3) gauge theory thermodynamics on lattices of various sizes we can control finite lattice cutoff effects. We calculate the pressure and energy density on lattices with temporal extent {ital N}{sub {tau}}=4, 6, and 8 and spatial extent {ital N}{sub {sigma}}=16 and 32, and extrapolate to the continuum limit. We find a deviation from ideal gas behavior of (15--20)%, even at temperatures as high as {ital T}{similar_to}3{ital T}{sub {ital c}}. A calculation of the critical temperature for {ital N}{sub {tau}}=8 and 12 and the string tension for {ital N}{sub {tau}}=32 is performed to fix the temperature scale, yielding {ital T}{sub {ital c}}/{radical}{sigma}=0.629(3) in the continuum limit. {copyright} {ital 1995} {ital The} {ital American} {ital Physical} {ital Society}.

• OSTI ID: 147886
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 23 Vol. 75; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CRITICAL TEMPERATURE
EQUATIONS OF STATE
GLUONS
LATTICE FIELD THEORY
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
SU-3 GROUPS
THERMODYNAMICS
UNIFIED GAUGE MODELS