LATTICE QUANTUM ELECTRODYNAMICS NEAR THE PHASE TRANSITION

Thomas Lippert
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Thomas Lippert: Bergische Universität, Gesamthochschule Wuppertal, Gauβstraβe 20, 5600 Wuppertal, Germany

International Journal of Modern Physics C (IJMPC), 1993, vol. 04, issue 01, 163-179

Abstract: Numerical simulations of quantum electrodynamics near the phase transition suffer from an extreme slowing down on large lattices. The two leading terms of the decaying autocorrelation function can be attributed to the influence of first-order phase transition effects, called supercritical slowing down, and second-order phase transition effects, called critical slowing down, respectively. We show that we can bypass supercritical slowing down using a conventional local updating algorithm based on a phenomenological weight ratio fixing method.As for critical slowing down, we apply a new global multi-scale updating algorithm which removes critical slowing down completely. We compare the structure of the local vs. the global algorithm as well as their implementation on the Connection Machine CM-2, analyze their computational complexity and present actual performance measurements.

Date: 1993
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DOI: 10.1142/S0129183193000185

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