Gauge Field Thermodynamics for the SU(2) Yang-Mills System
Dec, 198133 pages
Published in:
- Nucl.Phys.B 205 (1982) 545-577
- Published: 1982
Report number:
- BI-TP 81/29
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Abstract: (Elsevier)
After reviewing the euclidean formulation of the thermodynamics for quantum spin systems, we develop the corresponding formalism for SU( N ) gauge fields on the lattice. The results are then evaluated for the SU(2) system, using Monte Carlo simulation on lattices of (space × temperature) size 10 3 × 2,3,4,5. At high temperature, the system exhibits Stefan-Boltzmann behaviour, with three gluonic colour degrees of freedom. At T c ≈ 43 Λ L (215 MeV), the transition to “hadronic” behaviour occurs, signalled by a sharp peak in the specific heat. From the behaviour below the deconfinement transition ( T < T c ), we obtain m G ≈ 200 Λ L (1000 MeV) for the mass of the lowest gluonium state (glueball).- LATTICE FIELD THEORY
- GAUGE FIELD THEORY: YANG-MILLS
- GAUGE FIELD THEORY: SU(2)
- THERMODYNAMICS: CRITICAL PHENOMENA
- GLUEBALL: MASS
- MASS: GLUEBALL
- QUARK: CONFINEMENT
- STATISTICAL MECHANICS: ISING
- GAUGE FIELD THEORY: WILSON LOOP
- GAS
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