GAUGE TRANSFORMATION IN STRING THEORY

  • In this paper,the authors find a transformation which connects the covariant formalism with the light-cone formalism in bosonic open string theory,which leads to the connection between covariant statevectors and light-cone statevectors,and yields an orthogonal complete set of states in covariant formalism and a physical projective operator for arbitrary space-time dimension D and intercept of Regge trajectory α(0).The later reduces to the result given by L.Brink and D.Olive in the case of D=26,α(0)=1.Finally,we explicitly show that in covariant formalism,the mass square operator M2≥0 except for the tachyon of ground state.
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  • [1] L. Brink and D. Olive, Nucl. Phys., B56(1973), 253.[2] E. Del Giudice, P. Di Vecchia and S. Fubioi, Annalr of Phys., 70(1972), 378.[3] R. C. Brower, Physical Rev. D, Vol. 6, No. 6(1972), 1655.[4] J . Scherk, Rev. Mod. Phys., Vol. 47, No. 1 (1975), 123.[5] P. Goddard and C. B. Thorn, Phys. Lett, 40B (1972), 235.[6] P. Goddard, C. B. Thorn, J . Godstone and C. Rebbi, Nucl. Phys, B56(1973), 109.[7] M. A. Virasoro, Phys. Rev. D1(1970), 2933.
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LU Jian-Xin and RUAN Tu-Nan. GAUGE TRANSFORMATION IN STRING THEORY[J]. Chinese Physics C, 1989, 13(4): 309-315.
LU Jian-Xin and RUAN Tu-Nan. GAUGE TRANSFORMATION IN STRING THEORY[J]. Chinese Physics C, 1989, 13(4): 309-315. shu
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Received: 1900-01-01
Revised: 1900-01-01
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GAUGE TRANSFORMATION IN STRING THEORY

    Corresponding author: LU Jian-Xin,
  • University of Science and Technology of China,Hefei

Abstract: In this paper,the authors find a transformation which connects the covariant formalism with the light-cone formalism in bosonic open string theory,which leads to the connection between covariant statevectors and light-cone statevectors,and yields an orthogonal complete set of states in covariant formalism and a physical projective operator for arbitrary space-time dimension D and intercept of Regge trajectory α(0).The later reduces to the result given by L.Brink and D.Olive in the case of D=26,α(0)=1.Finally,we explicitly show that in covariant formalism,the mass square operator M2≥0 except for the tachyon of ground state.

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