Born-Infeld Lagrangian using Cayley-Dickson algebras

International Journal of Modern Physics A

Volumn 19, Issue 10, 2004, Pages 1525-1548

  Kuwata, S ^a  

^a HIROSHIMA CITY UNIVERSITY   (Japan)

Author keywords

Born Infeld; Cayley Dickson algebra; Determinant identity

Indexed keywords

ARTICLE; BORN INFELD LAGRANGIAN; CALCULATION; CAYLEY DICKSON ALGEBRA; DYNAMICS; ELECTRIC FIELD; MATHEMATICAL ANALYSIS; MATHEMATICAL PARAMETERS; MATHEMATICS; PHYSICS; SPACE; STRENGTH; TIME;

EID: 14244255311     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X04017823     Document Type: Article

References (12)

1. M. Born and L. Infeld, Proc. Roy. Soc. London A144, 425 (1934).
2. See, for example, J. Polchinski, String Theory (Cambridge, UK, 1998).
3. E. Witten, Nucl. Phys. B268, 253 (1986); Phys. Rev. D46, 5467 (1992).
4. E. Witten, Nucl. Phys. B268, 253 (1986); Phys. Rev. D46, 5467 (1992).
5. A. Connes, M. Douglas and A. Schwarz, J. High Energy Phys. 9802, 003 (1998).
6. M. Douglas and C. Hull, J. High Energy Phys. 9802, 008 (1998).
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8. F. P. Schuller, Ann. Phys. 299, 174 (2002); Phys. Lett. B540, 119 (2002).
9. R. D. Schafer, Am. J. Math. 76, 435 (1954).
10. For a recent review of the basic properties of the Cayley-Dickson algebras, see, for example, G. Moreno, q-alg/9710013.
11. For the charge conjugation matrix, see, for example, C. Itzykson and J.-E. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1986), p. 693.
12. K. Yano and M. Kon, Structures on Manifolds, Series in Pure Mathematics, Vol. 3 (World Scientific, Singapore, 1984).