NONEQUIVALENT <EM>SU</EM>(2) GAUGE POTENTIALS UNDER EQUAL FIELD STRENTHS AND SOURCES

HOU BO-YU

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2024年10月30日

Chinese Physics C> 1978, Vol. 2> Issue(1) : 61-66

NONEQUIVALENT SU(2) GAUGE POTENTIALS UNDER EQUAL FIELD STRENTHS AND SOURCES

HOU BO-YU

Northwest University

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Abstract：
This paper analyses some common physical characteristics of the gauge field strengths and sources with unequivalent potentials and expresses it in geometrical terms. The eigen-directions of these fields and sources form twistfree curve congrence, which has orthogonal hypersurfaces. The field is Abelianlizable (frequently, even trival) on each hypersurface, i.e. there exists Higgs field, which is invariant under translation along each hypersurface. The gauge field and sources are not altered during the variation of potentials, generated by the gauge rotation around Higgs fields with equal angles on each individual hypersurface but with unequal angles on different hypersurfaces.

References

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Y. Aharanov and D. Bohm, Phys. Rev., 115 (1959), 485. 吴大峻、杨振宁，Phys. Rev., D12 (1975), 3845.[2] 吴大峻、杨振宁，Phys. Rev., D12 (1975), 3843.[3] 夏道行，复旦学报(自然科学版)，1976, 1, 82.[4] 沈纯理，复旦学报(自然科学版)，1976, 2, 61.[5] 谷超豪、杨振宁，复旦学报(自然科学版)，1976, 3, 146.[6] B. Deser and F. WiIczek, Phys. Lett., 65B (1976), 391.[7] R. Roskies, Phys. Rev., D15 (1977), 1731.[8] M. Calvo, Phys. Rev., D15 (1977), 1733.[9] Pirani, in Lectures of theoretical physics, Brandeis, 1964.[10] 势变更有非零解的必要条件又见:S. Deser, and G. Teitelboim, Phys. Rev., D13 (1976), 1592.

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HOU BO-YU. NONEQUIVALENT SU(2) GAUGE POTENTIALS UNDER EQUAL FIELD STRENTHS AND SOURCES[J]. Chinese Physics C, 1978, 2(1): 61-66.

HOU BO-YU. NONEQUIVALENT SU(2) GAUGE POTENTIALS UNDER EQUAL FIELD STRENTHS AND SOURCES[J]. Chinese Physics C, 1978, 2(1): 61-66. shu

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Received: 1977-08-12
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

NONEQUIVALENT SU(2) GAUGE POTENTIALS UNDER EQUAL FIELD STRENTHS AND SOURCES

HOU BO-YU

Northwest University

Received Date: 1977-08-12
Accepted Date: 1900-01-01
Available Online: 1978-02-05

Abstract: This paper analyses some common physical characteristics of the gauge field strengths and sources with unequivalent potentials and expresses it in geometrical terms. The eigen-directions of these fields and sources form twistfree curve congrence, which has orthogonal hypersurfaces. The field is Abelianlizable (frequently, even trival) on each hypersurface, i.e. there exists Higgs field, which is invariant under translation along each hypersurface. The gauge field and sources are not altered during the variation of potentials, generated by the gauge rotation around Higgs fields with equal angles on each individual hypersurface but with unequal angles on different hypersurfaces.