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

HOU BO-YU; HOU BO-YUAN

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

Abstract
HTML
Reference
Related

PDF

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

[1]

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.

[1]	LIU Chang-Long , LU Yi-Ying , YIN LI . Effects of Additional Vacancy-Like Defects Produced by Ion Impealations on Boron Thermal Diffusion in Silicon. Chinese Physics C, 2005, 29(11): 1107-1111.
[2]	SHEN Shui-Fa , YU Xiao-Han . Decay of ⁸³Sr and Discussion of Its Daughter's Band Structures. Chinese Physics C, 2004, 28(S1): 78-80.
[3]	HU Xi-Duo , SHAO Ming-Zhu , LUO Shi-Yu , LIU Yong-Sheng , ZHU De-Hai . Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅱ). Chinese Physics C, 2004, 28(2): 196-199.
[4]	Medina Ablikim , HUANG Wei-Cheng , . New Realization of N=2 Supersymmetric QuantumMechanics and Shape Invariance. Chinese Physics C, 2002, 26(4): 338-345.
[5]	Guo Hua . In-medium QMC Model Parameters and Quark Condensation in Nuclear Matter. Chinese Physics C, 1999, 23(5): 459-468.
[6]	Yang Jianjun , Ma Boqiang , Li Guanglie . Non-perturbative Quark Propagator and the Study of the Non-trivial Q² Dependence in the Nucleon Structure Functions. Chinese Physics C, 1997, 21(2): 146-156.
[7]	Yu Hong , Shen Qixing , Zhang Lin . Angular Distribution of Process e⁺e^－→τ⁺τ^－,τ^－→a₁υτ,a₁→ρπ and Characteristics of a₁ Meson. Chinese Physics C, 1994, 18(7): 583-590.
[8]	BES Collaboration . Experimental Study of Resonance f₂(1270) in the J/ψ Hadronic Decay. Chinese Physics C, 1993, 17(2): 97-106.
[9]	SANG Jian-Ping , LIU Chao-Shan , LIU Yong . Relation Between the Gap at Z=64 Subshell and the Abrupt Transition in the Region N=88～90. Chinese Physics C, 1991, 15(2): 150-157.
[10]	ZHU Xiang , SHEN Wen-Qing , HU Xiao-Qing , ZHU Yong-Tai , WANG Bing . A SIMPLE MODEL ANALYSIS OF THE INCOMPLETE DIC REACTION. Chinese Physics C, 1990, 14(9): 835-841.
[11]	HOU Ren-Chang , ZHAO Xuan . QUADRUPOLE-OCTUPOLE TWO-PHONON EXCITATIONS IN INELASTIC SCATTERING. Chinese Physics C, 1983, 7(2): 236-244.
[12]	Sa Ben-hao , Zhang Xi-zhen , Li Zhu-xia , Shi Yi-jin . A PRIMARY RESEARCH OF THE PHONON RENORMALIZATION OF NUCLEAR FIELD THEORY. Chinese Physics C, 1980, 4(3): 398-400.
[13]	WU SHI-SHU . ON NUCLEAR SINGLE-PARTICLE POTENTIALS（Ⅲ）SINGLEPARTICLE ENERGIES DETERMINED BY THE NONHERMITIAN POTENTIAL U_αβ=M_αβ（ε_β）. Chinese Physics C, 1979, 3(4): 469-483.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2444)
PDF Downloads(305)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

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.