CANONICAL QUANTIZATION OF GAUGE FIELDS (Ⅲ)——GRAVITATIONAL FIELD

YAN MU-LIN; BAO XI-MING; ZHAO BAO-HENG

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1979, Vol. 3> Issue(5) : 582-594

CANONICAL QUANTIZATION OF GAUGE FIELDS (Ⅲ)——GRAVITATIONAL FIELD

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Abstract：
The gravitational field is quantized within the canonical formalism under theharmonic gauge condition.The gravitational field is decomposed into transversalfields and self-commuting fields.The equation of motion of the self-commuting field X_μ is derived,and the contributions of self-commuting fields to physical S-matrixelements are investigated.Then the gauge compensating term of the effective actionis obtained.The result is in agreement with that obtained by the path integral method,but with our method the difficulty of the Gribov gauge ambiguity can be overcome.

References

[1]

赵保恒、阎沐霖，高能物理与核物理，2 (1978), 501;3(1979), 52.[2] S. N. Gupta, Phys. Rev., D14 (1976), 2596.[3] J. N. Goldberg Phys, Rev., 111 (1958), 315.[4] 李政道、杨振宁，Phys. Rev., 128 (1962), 885;I. S. Gerstein, R. Jackiw. B. W. Lee and S. Weinberg. Phys, Rev, D3 (1971), 2486.[5]G. 't Hooft and M. Veltman, Nucl. Phys., B44 (1972), 189.[6]R. E. Cutkosky, J. Math. Phys., 1(1960), 429;G. 't Hooft and M. Veltman, "Diagrammar”，CERN Report, 73-9 (1973);[7] N. N. Gribov, Nucl. Phys., B139 (1978). 1.[8] L. D. Faddeev and V. N. Popov, Phys. Lett., 25B (1967), 30.

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YAN MU-LIN, BAO XI-MING and ZHAO BAO-HENG. CANONICAL QUANTIZATION OF GAUGE FIELDS (Ⅲ)——GRAVITATIONAL FIELD[J]. Chinese Physics C, 1979, 3(5): 582-594.

YAN MU-LIN, BAO XI-MING and ZHAO BAO-HENG. CANONICAL QUANTIZATION OF GAUGE FIELDS (Ⅲ)——GRAVITATIONAL FIELD[J]. Chinese Physics C, 1979, 3(5): 582-594. shu

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Received: 1978-07-26
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

CANONICAL QUANTIZATION OF GAUGE FIELDS (Ⅲ)——GRAVITATIONAL FIELD

Received Date: 1978-07-26
Accepted Date: 1900-01-01
Available Online: 1979-10-05

Abstract: The gravitational field is quantized within the canonical formalism under theharmonic gauge condition.The gravitational field is decomposed into transversalfields and self-commuting fields.The equation of motion of the self-commuting field X_μ is derived,and the contributions of self-commuting fields to physical S-matrixelements are investigated.Then the gauge compensating term of the effective actionis obtained.The result is in agreement with that obtained by the path integral method,but with our method the difficulty of the Gribov gauge ambiguity can be overcome.