FERMION FIELDS IN THE SOLITON BACKGROUND OF SIX-DIMENSIONAL PURE KALUZA-KLEIN THEORIES

ZHANG Guang-Yuan; CAI Wei-Cheng; LI Xin-Zhou

Chinese Physics C> 1988, Vol. 12> Issue(2) : 281-285

FERMION FIELDS IN THE SOLITON BACKGROUND OF SIX-DIMENSIONAL PURE KALUZA-KLEIN THEORIES

Fudan University,Shanghai

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Abstract：
Dirac wave functions in six-dimensional Abelian monopole geomentry show a singularity around r=0,in contrast to the five-dimensional theory.Field equations for fermions in soliton background of a six-dimensional pure Kaluza-Klein theory are derived and illustrated by the spherically symmetric soliton case.Neutral fermion equations are decoupled into ordinary differential equations which agree with those obtained by the nulltetrad formalism in the Schwarzschild black-hole case.

References

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D. J. Gross and M. Perry,Nucl. Phys., 8226(1983), 29[2] R. D. Sorkin, Phys. Rev.Lett， 51(1983), 87.[3] Li Xinzhou, Yu Feng and Zhang Jianzu, Phys. Rcu., D34(1986), 1124.[4] Cai Shengshan, Hu Sizhu and Li Xinzhou, Phys. Rev, D34(1986), 2523.[5] D. R. Brill and J . A. Wheeler, Rcu. Mod. Phys., 29(1957), 465.[6] S. Chandrasekhar, Proc. R. Soc. London, A340(1976), 571.[7] D. N. Page, Phys. Rcu., D14(1976), 1509; R. Giiven, ibid., D16(1977), 1706.[8] K. S. Soh and P. Y. Pac, Phys. Rcu., D35(1987), 544.[9] S. A. Teukolsky, Arzrophys. J , 185(1973), 635.[10] S. K. Bose, J . Mazh. Phys, 16(1975), 772.[ll] Li Xinzhou, Wang Kelin and Zhang Jianzu, Kezuc Tongboo, 29(1984), 1307.

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ZHANG Guang-Yuan, CAI Wei-Cheng and LI Xin-Zhou. FERMION FIELDS IN THE SOLITON BACKGROUND OF SIX-DIMENSIONAL PURE KALUZA-KLEIN THEORIES[J]. Chinese Physics C, 1988, 12(2): 281-285.

ZHANG Guang-Yuan, CAI Wei-Cheng and LI Xin-Zhou. FERMION FIELDS IN THE SOLITON BACKGROUND OF SIX-DIMENSIONAL PURE KALUZA-KLEIN THEORIES[J]. Chinese Physics C, 1988, 12(2): 281-285. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

FERMION FIELDS IN THE SOLITON BACKGROUND OF SIX-DIMENSIONAL PURE KALUZA-KLEIN THEORIES

Corresponding author: ZHANG Guang-Yuan,

Fudan University,Shanghai

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1988-04-05

Abstract: Dirac wave functions in six-dimensional Abelian monopole geomentry show a singularity around r=0,in contrast to the five-dimensional theory.Field equations for fermions in soliton background of a six-dimensional pure Kaluza-Klein theory are derived and illustrated by the spherically symmetric soliton case.Neutral fermion equations are decoupled into ordinary differential equations which agree with those obtained by the nulltetrad formalism in the Schwarzschild black-hole case.