ZERO ENERGY FERMION IN TOPOLOGICAL NONTRIVIAL SPHERICAL SYMMETRICAL FIELD ON MINKOWSKI SPACE

HOU BO-YU; HOU BO-YUAN

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2024年10月30日

Chinese Physics C> 1979, Vol. 3> Issue(6) : 697-707

ZERO ENERGY FERMION IN TOPOLOGICAL NONTRIVIAL SPHERICAL SYMMETRICAL FIELD ON MINKOWSKI SPACE

HOU BO-YU ,
HOU BO-YUAN

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Abstract：
This paper discusses the number of solution and physical property of zero energyfermions in the field of U(1)pointwise monopole.It is interesting to point out thatthe anomaly source of PCAC lies on the monopole,and that the effective electric chargeis concentrated at the point monopole.This paper has separated explicitly the variables in the equation of the half spinparticles with arbitrary isospins moving in the spherical symmetric sourceless SU(2)gauge field.It is shown that the zero energy solution exists only when the totalangular momentum J=0 and charge number |v|=1/2;or when J=1/2,|v|=1,0.The solutions with isospin equals to one or arbitrary half integrals are given explicitly.

References

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R. Jaekiw, Rev. Mod. Phys., 49(1977), 681.[2] R. Jaekiw. C. Rebbi, Phys. Rev., D13(1976), 3398.[3] Y, Kazama, C. N. Yang, A. S. Gfoldhabor, Phys. Rev., D15(1977), 2387.[4] N. K. Nielsen, B. Schroer, Nucl. Phys., B127(1977), 493.[5] C .J. Callias. Phys. Rev., D16(1977), 3068.[6] Y. Kazama., C. N. Yang, Phys. Rev., D15(1977), 2300.

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HOU BO-YU and HOU BO-YUAN. ZERO ENERGY FERMION IN TOPOLOGICAL NONTRIVIAL SPHERICAL SYMMETRICAL FIELD ON MINKOWSKI SPACE[J]. Chinese Physics C, 1979, 3(6): 697-707.

HOU BO-YU and HOU BO-YUAN. ZERO ENERGY FERMION IN TOPOLOGICAL NONTRIVIAL SPHERICAL SYMMETRICAL FIELD ON MINKOWSKI SPACE[J]. Chinese Physics C, 1979, 3(6): 697-707. shu

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Received: 1978-08-01
Revised: 1900-01-01

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

ZERO ENERGY FERMION IN TOPOLOGICAL NONTRIVIAL SPHERICAL SYMMETRICAL FIELD ON MINKOWSKI SPACE

HOU BO-YU
HOU BO-YUAN

Received Date: 1978-08-01
Accepted Date: 1900-01-01
Available Online: 1979-12-05

Abstract: This paper discusses the number of solution and physical property of zero energyfermions in the field of U(1)pointwise monopole.It is interesting to point out thatthe anomaly source of PCAC lies on the monopole,and that the effective electric chargeis concentrated at the point monopole.This paper has separated explicitly the variables in the equation of the half spinparticles with arbitrary isospins moving in the spherical symmetric sourceless SU(2)gauge field.It is shown that the zero energy solution exists only when the totalangular momentum J=0 and charge number |v|=1/2;or when J=1/2,|v|=1,0.The solutions with isospin equals to one or arbitrary half integrals are given explicitly.