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Use of the hypercube for symbolic quantum chromodynamics

Published: 03 January 1989 Publication History

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.

References

[1]
Apostolakis, J., Baillie, C. F., Ding, H. Q., Flower, J. "Lattice Gauge Theory on the Hypercube." To appear in proceedings of the Third Conference on Hypercube Concurrent Computers and Applications, edited by G. C. Fox, published by ACM, New York, N.Y., Caltech report C3P-605
[2]
Flower, J. W. 1987 "Lattice Gauge Theory on a Parallel Computer," Caltech Ph.D. Thesis, Caltech report ~3P-411
[3]
Fox, G. 1985 "The Performance of the Caltech Hypercube in Scientific Calculations: A Preliminary Analysis." Invited Talk at Symposium on "Algorithms, Architectures and the Future of' Scientific Computation," Austin, Texas, March 18-20, 1985. Published in "Supercomputers- Algorithms, Architectures and Scientific Computation," edited by F. A. Matsen and T. Tajima, University of Texas Press, Austin, 1985, Caltech report C3P- 161.
[4]
Fox, G. C., Otto, S. W. 1986 "Concurrent Computation and the Theory of Complex Systems," published in Hypercube Multiprocessors, 1986, edited by M. T. Heath, SIAM p. 244, Caltech report C3P-255.
[5]
Fox, G. C., Johnson, M. A., Lyzenga, G. A., Otto, S. W., Salmon, S. K., and Walker, D. 1988 "Solving Problems on Concurrent Processors," published by Prentice Hall 1988. The Software Supplement to the book is edited by I. Angus, G. Fox, J. Kim, and D. Walker.
[6]
Furmanski, W and Kolawa, A. 1986 "Yang-Mills Vacuum: An Attempt at Lattice Loop Calculus," Published in Nuclear Physics, B291 (1987) 594- 628, Caltech report CSP-335
[7]
Johnson, M. 1985 "An Interrupt Driven Communication System," Caltech report C3P - 137
[8]
Kolawa, A. and Otto, S. 1986 "Performance of' the Mark II and INTEL Hypercubes." Published in Hypercube Multiprocessors, 1986 edited by T. Heath, SIAM p. 272, Caltech report C3P-254
[9]
Kolawa, A. 1986 "Semianalytical Calculation of the O'~- Glueball Mass in SU(2) Gauge Theory", Caltech PhD Thesis, Caltech report C3P-267.
[10]
Otto, S. and Stack, j. 1984 "The SU(3) Heavy Quark Potential with High Statistics," CALT-68-1113. Phys. Rev. Letters 52, 2320, Caltech report C3P-67.
[11]
Tuazon, J., Peterson, J., Pniel, M., Lieberman, D. 1985 "Caltech/JPL Hypercube Concurrent Processor." Published in proceedings of IEEE 1985 International Conference on Parallel Processing in St. Charles, III., (August 20-23, 1985), Caltech report C3P-160.

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cover image ACM Conferences
C3P: Proceedings of the third conference on Hypercube concurrent computers and applications - Volume 2
January 1989
1787 pages
ISBN:0897912780
DOI:10.1145/63047
  • Editor:
  • Geoffrey Fox
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 03 January 1989

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