D=26 and Exact Solution to the Conformal-gauge Two-dimensional Quantum Gravity

نویسنده

  • Mitsuo Abe
چکیده

The conformal-gauge two-dimensional quantum gravity is formulated in the framework of the BRS quantization and solved completely in the Heisenberg picture: All n-point Wightman functions are explicitly obtained. The eld-equation anomaly is shown to exist as in other gauges, but there is no other subtlety. At the critical dimension D = 26 of the bosonic string, the eld-equation anomaly is shown to be absent. However, this result is not equivalent to the statement that the conformal anomaly is proportional to D ? 26. The existence of the FP-ghost number current anomaly is seen to be an illusion.

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تاریخ انتشار 1998