Perturbative Background to Monte Carlo Calculations in Lattice Gauge Theories

Perturbative corrections to Wilson loops are computed up to order g 4 on lattices of several sizes. A renormalization group improvement of the perturbative expansions for χ ( I , J ) is discussed. An analysis is performed in which the perturbative background is subtracted from quantities measured in Monte Carlo simulations of SU(3) pure gauge theories, yielding a value Λ /√ σ =0.0112+−0.0004, in good agreement with that obtained from measurements of correlation functions of Polyakov lines.

LATTICE FIELD THEORY: STRING TENSION
GAUGE FIELD THEORY: WILSON LOOP
GAUGE FIELD THEORY: SU(3)
GAUGE FIELD THEORY: SU(2)
FERMION: LATTICE FIELD THEORY
PERTURBATION THEORY: BACKGROUND
RENORMALIZATION GROUP
SCALING
NUMERICAL CALCULATIONS: MONTE CARLO

References(25)

Figures(0)

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