弦理论中两种规范间的变换

GAUGE TRANSFORMATION IN STRING THEORY

本文给出Bose开弦理论中由协变规范到光锥规范的变换.由此给出两种规范下相应态矢之间的联系,并得到协变规范下的一组态矢正交完备集和任意时空维数D及Regge轨迹截距α(0)下的物理投影算子,后者在D=26,α(0)=1时退化为L.Brink和D.OLive给出的结果;最后证明了协变规范下除基态Tachyon外,质量平方算子M^2≥0.

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)=l. Finally, we explicitly show that in covariant formalism, the mass square operator M^2≥0 except for the tachyon of ground state.