On New Solutions of Classical Yang-Mills Equations with Cylindrical Sources

Author(s)
Alexander S. Rabinowitch

Affiliation(s)

Department of Applied Mathematics, Moscow State University of Instrument Construction and Information Sciences,Moscow, Russia.

Department of Applied Mathematics, Moscow State University of Instrument Construction and Information Sciences,Moscow, Russia.

ABSTRACT

Strong fields generated by big electric currents are examined within the framework of the Yang-Mills nonlinear generalization of the Maxwell electrodynamics proposed in our earlier papers. First we consider the case of stationary currents and find a new exact solution to the Yang-Mills equations. Then we study a Yang-Mills field inside a thin circular cylinder with nonstationary plasma and find expressions for field strengths in it. Obtained results are applied to interpret several puzzling natural phenomena.

Strong fields generated by big electric currents are examined within the framework of the Yang-Mills nonlinear generalization of the Maxwell electrodynamics proposed in our earlier papers. First we consider the case of stationary currents and find a new exact solution to the Yang-Mills equations. Then we study a Yang-Mills field inside a thin circular cylinder with nonstationary plasma and find expressions for field strengths in it. Obtained results are applied to interpret several puzzling natural phenomena.

KEYWORDS

Yang-Mills Equations, Su(2) Symmetry, Source Currents, Field Strengths, Lightning, Exploding Wires

Yang-Mills Equations, Su(2) Symmetry, Source Currents, Field Strengths, Lightning, Exploding Wires

Cite this paper

nullA. Rabinowitch, "On New Solutions of Classical Yang-Mills Equations with Cylindrical Sources,"*Applied Mathematics*, Vol. 1 No. 1, 2010, pp. 1-7. doi: 10.4236/am.2010.11001.

nullA. Rabinowitch, "On New Solutions of Classical Yang-Mills Equations with Cylindrical Sources,"

References

[1] L. H. Ryder, “Quantum Field Theory”, Cambridge University Press, Cambridge, 1987.

[2] L. D. Faddeev and A. A. Slavnov, “Gauge Fields: Introduction to Quantum Theory,” Benjamin-Cummings Publishing, 1990.

[3] P. Frampton, “Gauge Field Theories,” Wiley-VCH, 2008.

[4] A. S. Rabinowitch, Russian Journal of Mathematical Physics, Vol. 12, No. 3, 2005, pp. 379-385.

[5] A. S. Rabinowitch, Russian Journal of Mathematical Physics, Vol. 15, 2008, pp. 389-394.

[6] A. S. Rabinowitch, Physics Letters B, Vol. 664, 2008, pp.295-300.

[7] A. S. Rabinowitch, “Nonlinear Physical Fields and Anomalous Phenomena,” Nova Science Publishers, New York, 2009.

[8] V. A. Rakov and M. A. Uman, “Lightning: Physics and Effects,” Cambridge University Press, Cambridge, 2003.

[9] R. Cowen, “Signature of Antimatter Detected in Lightening,”Science News, Vol. 176, No.12, December 2009, p.9.

[10] W. G. Chace and H. K. Moore (Eds.), “ExplodingWires,” Plenum Press, New York, 1962.

[11] L. I. Urutskoev, V. I. Liksonov and V. G. Tsinoev,“Observation of Transformation of Chemical Elements during Electric Discharge,” Applied Physics Reports/Prikladnaya Fizika, Vol. 4, 2000, pp. 83-100.

[1] L. H. Ryder, “Quantum Field Theory”, Cambridge University Press, Cambridge, 1987.

[2] L. D. Faddeev and A. A. Slavnov, “Gauge Fields: Introduction to Quantum Theory,” Benjamin-Cummings Publishing, 1990.

[3] P. Frampton, “Gauge Field Theories,” Wiley-VCH, 2008.

[4] A. S. Rabinowitch, Russian Journal of Mathematical Physics, Vol. 12, No. 3, 2005, pp. 379-385.

[5] A. S. Rabinowitch, Russian Journal of Mathematical Physics, Vol. 15, 2008, pp. 389-394.

[6] A. S. Rabinowitch, Physics Letters B, Vol. 664, 2008, pp.295-300.

[7] A. S. Rabinowitch, “Nonlinear Physical Fields and Anomalous Phenomena,” Nova Science Publishers, New York, 2009.

[8] V. A. Rakov and M. A. Uman, “Lightning: Physics and Effects,” Cambridge University Press, Cambridge, 2003.

[9] R. Cowen, “Signature of Antimatter Detected in Lightening,”Science News, Vol. 176, No.12, December 2009, p.9.

[10] W. G. Chace and H. K. Moore (Eds.), “ExplodingWires,” Plenum Press, New York, 1962.

[11] L. I. Urutskoev, V. I. Liksonov and V. G. Tsinoev,“Observation of Transformation of Chemical Elements during Electric Discharge,” Applied Physics Reports/Prikladnaya Fizika, Vol. 4, 2000, pp. 83-100.