QUANTIZATION OF BOSON STRING WITH WEYL ORDERING

SUN Yi; JING Si-Cong; RUAN Tu-Nan

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2024年10月30日

Chinese Physics C> 1989, Vol. 13> Issue(5) : 411-418

QUANTIZATION OF BOSON STRING WITH WEYL ORDERING

University of Science and Technotogy of China

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Abstract：
A quantization scheme for boson string with Weyl ordering is proposed in this paper.Inconsistency between Hermiticity requirement in coordinate space and normal ordering in oscillator space is avoided.The Virasoro algebra of Nambu-Goto string with Weyl ordering were derived by virtue of principal value sum where all central terms vanished.We also calculated the angular momentum operators of the string and their commutation rules,and reached the conclusion that dimension of the string is 26(D=26).

References

[1]

J . H. Schwarz, Phys. Rep., 89(1982), 223.[2] M. B. Green and J. H. Schwarz, Phys. Lett., 149B(1984), 117.[3] 王竹溪，郭敦仁，特殊函数概论，科学出版社，1979， p138.[4] C. Rebbi. Phys. Rep., 12C No. 1(1974 ) .[5] T. D. Lee, Particle Physics and Introduction to Field Theory, Harwood Academic Publishers, 1983,p476.[6] J . Scherk, Rev. oj Modern Phys., Vol. 47, No. 1 . Jan. (1975) .[7] S. Jain et al.. Phys Rev., D32(1985), 2713.

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SUN Yi, JING Si-Cong and RUAN Tu-Nan. QUANTIZATION OF BOSON STRING WITH WEYL ORDERING[J]. Chinese Physics C, 1989, 13(5): 411-418.

SUN Yi, JING Si-Cong and RUAN Tu-Nan. QUANTIZATION OF BOSON STRING WITH WEYL ORDERING[J]. Chinese Physics C, 1989, 13(5): 411-418. shu

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Received: 1900-01-01
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

QUANTIZATION OF BOSON STRING WITH WEYL ORDERING

Corresponding author: SUN Yi,

University of Science and Technotogy of China

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1989-05-05

Abstract: A quantization scheme for boson string with Weyl ordering is proposed in this paper.Inconsistency between Hermiticity requirement in coordinate space and normal ordering in oscillator space is avoided.The Virasoro algebra of Nambu-Goto string with Weyl ordering were derived by virtue of principal value sum where all central terms vanished.We also calculated the angular momentum operators of the string and their commutation rules,and reached the conclusion that dimension of the string is 26(D=26).