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Vectorizing the Monte Carlo algorithm for lattice gauge theory calculations on the CDC cyber 205

✍ Scribed by D. Barkai; K.J.M. Moriarty

Publisher: Elsevier Science
Year: 1982
Tongue: English
Weight: 234 KB
Volume: 26
Category: Article
ISSN: 0010-4655
DOI: 10.1016/0010-4655(82)90146-1

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✦ Synopsis

Lattice gauge theory is a technique for studying quantum field theory free of divergences. All the Monte Carlo computer calculations up to now have been performed on scalar machines. A technique has been developed for effectively vectorizing this class of Monte Carlo problems. The key for vectorizing is in finding groups of points on the space-time lattice which are independent of each other. This requires a particular ordering of points along diagonals. A technique for matrix multiply is used which enables one to get the whole of the result matrix in one pass. The CDC CYBER 205 is most suitable for this class of problems using random "index-lists" (arising from the ordering algorithm and the use of random numbers) due to the hardware implementation of "GATHER" and "SCATFER" operations performing at a streaming-rate. A preliminary implementation of this method has executed 5 times faster than on the CDC 7600 system.

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