International Journal of Modern Physics C, Vol. 6, No. 3 (1995) 327-344
World Scientific Publishing Company

CONSERVING ALGORITHMS FOR REAL-TIME NONABELIAN LATTICE GAUGE THEORIES

TAMÁS S. BIRÓ
Theory Division, MTA KFKI RMKI
H-1525 Budapest 114, P.O.Box 49, Hungary Received 27 October 1994

Abstract

A class of numerical algorithms for solving the classical equations of motion in lattice gauge field theories which exactly fulfill the constraints imposed by the unitarity of the local group elements, by the local color charge conservation (Gauss law) and by the total energy conservation is constructed. The performance of these constrained algorithms is comparatively discussed.

• Introduction
• Discrete Time-Step Noether-Theorem
• Simple Dynamical Systems
  • Harmonic Oscillator and Exponential Growth
  • Motion on the Unit Circle
• Classical Lattice Gauge Theory
  • Gauss' Law and its Rate of Change
  • Energy Conservation
  • Initializing and Stability
• References
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