Weyl编序下玻色弦的量子化

QUANTIZATION OF BOSON STRING WITH WEYL ORDERING

本文给出Weyl编序下玻色弦的量子化.用这种方法可避免坐标空间厄米化与振子空间正规乘积化不一致的问题.利用主值求和方法给出Nambu-Goto弦在Weyl对应下的Virasoro代数没有中心项,并计算了弦的角动量算子及其对易关系.得到了弦的维数D=26.

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 the dimension of the string is 26 (D = 26).