RENORMALIZATION GROUP BETA FUNCTION FROM GLUON THERMODYNAMICS

Kennedy, A.D.; Pendleton, B.J.; Kuti, J.; Meyer, S.

doi:10.1016/0370-2693(85)91597-7

RENORMALIZATION GROUP BETA FUNCTION FROM GLUON THERMODYNAMICS

A.D. Kennedy
(
- UC, Santa Barbara
)
,
B.J. Pendleton
(
- UC, Santa Barbara
)
,
J. Kuti
(
- UC, San Diego
)
,
S. Meyer
(
- Kaiserslautern U.
)

1985

7 pages

Published in:

Phys.Lett.B 155 (1985) 414-420

Published: 1985

DOI:

10.1016/0370-2693(85)91597-7

View in:

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Abstract: (Elsevier)

The renormalization group β-function of lattice quantum chromodynamics (QCD) with Wilson's action is calculated from gluon thermodynamics. The critical temperature of the deconfining phase transition and the free energy of a static quark-antiquark pair at finite temperature are investigated and used for the determination of the β-function. For lattice couplings 6/ g 2 < 6.10 the β-function dramatically differs from the perturbation theory prediction. Gluon thermodynamics appears to be strictly non-perturbative in this regime. For weaker couplings the β-function gradually begins to approach its two-loop value.

QUANTUM CHROMODYNAMICS: CRITICAL PHENOMENA
LATTICE FIELD THEORY: ACTION
GAUGE FIELD THEORY: WILSON LOOP
field theory: finite temperature
GLUON: THERMODYNAMICS
RENORMALIZATION GROUP: BETA FUNCTION
NONPERTURBATIVE
PERTURBATION THEORY: HIGHER-ORDER
NUMERICAL CALCULATIONS: MONTE CARLO

References(12)

Figures(0)

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