New algorithm for tensor calculation in field theories

International Journal of Modern Physics C

Volumn 9, Issue 2, 1998, Pages 243-264

  Ichinose, Shoichi ^a  

^a UNIVERSITY OF SHIZUOKA   (Japan)

Author keywords

Computer Algebra; General Relativity; Graphical Representation; Suffix Contraction; Tensor Calculation; Topology of Graph

Indexed keywords

EID: 0032367636     PISSN: 01291831     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129183198000182     Document Type: Article

References (19)

1. R. P. Feynman, Acta Phys. Polonica 24, 697 (1963).
2. G. 't Hooft and M. Veltman, Ann. Inst. Henri Poincaré 20, 69 (1974).
3. M. H. Goroff and A. Sagnotti, Phys. Lett. 150B, 81 (1985); Nucl. Phys. B266, 709 (1986).
4. M. H. Goroff and A. Sagnotti, Phys. Lett. 150B, 81 (1985); Nucl. Phys. B266, 709 (1986).
5. A. E. M. van de Ven, Nucl. Phys. B3T8, 309 (1992).
6. J. A. M. Vermaseren, Symbolic Manipulation with FORM, Tutorial and Reference Manual ver. 2, 1991 (Amsterdam: Computer Algebra Nederland); Version 1.0 of the program is available via anonymous ftp from nikhef.nikhef.nl.
7. S. Ichinose, Phys. Lett. B284, 234 (1992); Nucl. Phys. B395, 433 (1993).
8. S. Ichinose, Phys. Lett. B284, 234 (1992); Nucl. Phys. B395, 433 (1993).
9. W. A. Bardeen and B. Zumino, Nucl. Phys. B244, 421 (1984).
10. L. Bonora, P. Pasti, and M. Bregola, Class. Quantum Grav. 3, 635 (1986).
11. S. Deser and A. Schwimmer, Phys. Lett. B309, 279 (1993).
12. T. Arakelyan, D. R. Karakhanyan, R. P. Manvelyan, and R. L. Mkrtchyan, Phys. Lett. B353, 52 (1995).
13. D. R. Karakhanyan, R. P. Manvelyan, and R. L. Mkrtchyan, Mod. Phys. Lett. A11, 409 (1996).
14. N. D. Birrel and P. C. Davies, Quantum Fields in Curved Space (Cambridge Univ. Press, 1982).
15. S. Ichinose, Class. Quantum Grav. 12, (1995) 1021.
16. S. Ichinose and N. Ikeda, Phys. Rev. D53, (1996) 5932.
17. F. Harary, Graph Theory (Addison-Wesley Pub. Co., Reading-Menlo Park-Ontario, 1969).
18. S. Ichinose and N. Ikeda, "Weak field expansion of gravity and graphical representation," Preprint of Univ. of Shizuoka, US-96-03, hep-th/9609013.
19. S. Ichinose and N. Ikeda, J. Math. Phys. 38, (1997) 6475, hep-th/9702003.