Casimir Energy for Piecewise Uniform Strings

Lu Jizong; Huang Baofa

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2024年10月30日

Chinese Physics C> 1999, Vol. 23> Issue(2) : 212-215

Casimir Energy for Piecewise Uniform Strings

Lu Jizong ^, ,
Huang Baofa

Department of Physics, Shanghai Teachers University, Shanghai 2002342 Shanghai Technical College of Metallurgy, Shanghai 200233

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Abstract：
The Casimir energy can be considered as the polarization of the vacuum energy of quantized fields due to the distortion caused by the presence of boundaries, the curvature of the space-time mani-fold or some background fields. The study about the Casimir energy can deepen our understanding of the substance of the quantum fields, so the interest in studying Casimir effect has been enhanced recently. Brevik et al. studied the Casimir energy of piecewise uniform strings first. However, they only discussed the one of closed bosonic strings. In this paper, we extend their resaerch to both open and closed bosonic strings, as well as fermionic strings. The energy of superstrings is investigated briefly too.

References

[1]

Casimir H B G. Proc. X Ned. Akad. Wet., 1948, 51:7932 Lamoreaux S.K Phy. Rev. Lett., 1997, 78:5 3 Plunien G, Mller B, Greiner W. Phys. Rep., 1986, 134:874 Boyer T H. Phys. Rev., 1968, 174: 17645 Bayin S S, Ozcan M. Phys. Rev., 1993 D48:3206; 1994, D49:5313; Romeo A. Phys. Rev., 1996, D53:3392 6 Ford L H. Phys. Rev., 1975, D11:3370 7 Bender C M, Mition K A. Phys. Rev., 1994, D50:6547; Mition K A. Phys. Rev., 1997, D55:4940 8 Li X, Cheng H, Li J et al. Phys. Rev., 1997, D56:2155 9 Kikkawa K, Yamasaki M. Prog. Theor. Phys. 1986, 76: 1379 10 Shi X, Li X. Class. Quantum Grav., 1991, 8:75 11 Brevik I, Nielsen H B. Phys. Rev., 1990, D41: 1185; 1995, D51: 1869 12 Li X, Shi X, Zhang J. Phys. Rev., 1991, D44:560 13 Brevik I, Elizalde E. Phys. Rev., 1994, D49: 5319 14 Brevik I. Nielsen H B, Odintsov S D. Phys. Rev., 1996, D53:322415 Lu J, Huang B. Phys. Rev., 1998, D57:528016 Bayin S S, Krisch J P, Ozcan M. J. Math. Phys., 1996, 37:3662

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Lu Jizong and Huang Baofa. Casimir Energy for Piecewise Uniform Strings[J]. Chinese Physics C, 1999, 23(2): 212-215.

Lu Jizong and Huang Baofa. Casimir Energy for Piecewise Uniform Strings[J]. Chinese Physics C, 1999, 23(2): 212-215. shu

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Received: 1998-05-14
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

Casimir Energy for Piecewise Uniform Strings

Lu Jizong ^,
Huang Baofa

Corresponding author: Lu Jizong,

Department of Physics, Shanghai Teachers University, Shanghai 2002342 Shanghai Technical College of Metallurgy, Shanghai 200233

Received Date: 1998-05-14
Accepted Date: 1900-01-01
Available Online: 1999-02-05

Abstract: The Casimir energy can be considered as the polarization of the vacuum energy of quantized fields due to the distortion caused by the presence of boundaries, the curvature of the space-time mani-fold or some background fields. The study about the Casimir energy can deepen our understanding of the substance of the quantum fields, so the interest in studying Casimir effect has been enhanced recently. Brevik et al. studied the Casimir energy of piecewise uniform strings first. However, they only discussed the one of closed bosonic strings. In this paper, we extend their resaerch to both open and closed bosonic strings, as well as fermionic strings. The energy of superstrings is investigated briefly too.