Use of the hypercube for symbolic quantum chromodynamics

  • Authors:
  • A. Kolawa;G. C. Fox

  • Affiliations:
  • Caltech Concurrent Computation Program, Mail Code 206-49, California Institute of Technology, Pasadena, CA;Caltech Concurrent Computation Program, Mail Code 206-49, California Institute of Technology, Pasadena, CA

  • Venue:
  • C3P Proceedings of the third conference on Hypercube concurrent computers and applications - Volume 2
  • Year:
  • 1989

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Abstract

A new numerical approach by Furmanski and Kolawa to quantum chromodynamics is based on diagonalizing the underlying Hamiltonian. This method involves the generation of states by repeated action of a potential operator. This symbolic calculation is dominated by the time it takes to search the database of existing states to verify if a generated state is identical to one previously found. We implement this algorithm on the Caltech/JPL Mark II hypercube and analyze its performance of both a simple database search and one optimized for this application. We show that the hypercube performance can be modelled in a fashion similar to conventional numerical (loosely synchronous) applications.