In search of a Hagedorn transition in SU(N) lattice gauge theories at large-N

Journal Article · Sun Jan 01 00:00:00 EST 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.73.014517· OSTI ID:20774629

Bringoltz, Barak; Teper, Michael ^[1]

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1. Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford, OX1 3NP (United Kingdom)

We investigate on the lattice the metastable confined phase above T{sub c} in SU(N) gauge theories, for N=8,10, and 12. In particular we focus on the decrease with the temperature of the mass of the lightest state that couples to Polyakov loops. We find that at T=T{sub c} the corresponding effective string tension {sigma}{sub eff}(T) is approximately half its value at T=0, and that as we increase T beyond T{sub c}, while remaining in the confined phase, {sigma}{sub eff}(T) continues to decrease. We extrapolate {sigma}{sub eff}(T) to even higher temperatures, and interpret the temperature where it vanishes as the Hagedorn temperature T{sub H}. For SU(12) we find that T{sub H}/T{sub c}=1.116(9), when we use the exponent of the three-dimensional XY model for the extrapolation, which seems to be slightly preferred over a mean-field exponent by our data.

• OSTI ID: 20774629
• Journal Information: Physical Review. D, Particles Fields, Vol. 73, Issue 1; Other Information: DOI: 10.1103/PhysRevD.73.014517; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EXTRAPOLATION
GAUGE INVARIANCE
LATTICE FIELD THEORY
MEAN-FIELD THEORY
REST MASS
STRING MODELS
SU GROUPS
THREE-DIMENSIONAL CALCULATIONS