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Fast algorithm for calculation of Dirac's gamma-matrices traces
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Source ACM SIGSAM Bulletin archive
Volume 23 ,  Issue 4  (October 1989) table of contents
Pages: 15 - 24  
Year of Publication: 1989
ISSN:0163-5824
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ACM  New York, NY, USA
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ABSTRACT

This paper describes a fast algorithm for calculation of traces of Dirac's gamma-matrices proposed by Kennedy and Cvitanovich. Comparison with standard REDUCE calculations shows that Kennedy-Cvitanovich algorithm is preferable when space-time dimension exceeds 4.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
{Kah68} Kahane J., J. of Mathematical Physics, 1968, v. 9, p. 1732.
 
2
{Chi63} Chisholm J. S. R., Nuovo Cimento, 1963, v. 30, p. 426.
 
3
{Hea87} Hearn A. C., The REDUCE user's manual. Version 3.3, The Rand Publication CP78(Rev. 7/87), USA.
 
4
{Far83} Farrar, Neri F., Physics Letters, 1983, v. 130B, p. 109.
 
5
{t'H72} t'Hooft G., Veltman M., Regularization and Renormalization of Gauge Fields, Nucl. Phys., 1972, v. B44, pp. 189--213.
 
6
{Gre87} Green M. B., Schwarz J. H., Witten E. Superstring theories, N.Y., 1987, vol. 1,2.
 
7
{Ken82} Kennedy A. D., Phys. Rev., 1982, v. D26, p. 1936.
 
8
{Cvi82} Cvitanovic P., Kennedy A. D., Physica Scripta, 1982, v. 26, p. 5.
 
9
{Fie34} Fierz, Z. Phisik, 1934, v. 88, p. 161.
 
10
{Cvi84} Cvitanovic P., Group theory, part I, 1984, Nordita Notices. 206p.


Collaborative Colleagues:
V. A. Ilyin: colleagues
A. P. Kryukov: colleagues
A. Y. Rodioniov: colleagues
A. Y. Taranov: colleagues