Covariant quantization of string based on BRS invariance |
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Authors: | Mitsuhiro Kato Kaku Ogawa |
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Institution: | Department of Physics, Kyoto University, Kyoto 606, Japan |
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Abstract: | Covariant canonical quantization of the bosonic string is performed, based on the BRS invariance principle. Defining a physical state by a modified form of Kugo-Ojima's subsidiary condition QB|phys〉 = 0 (QB = BRS charge), we prove a no-ghost theorem in a simple manner. There an interesting relation between critical dimension and BRS symmetry is noticed; namely, the conditions D = 26 and α0 = 1 for the space-time dimension D and the zero-intercept α0 of leading trajectory are required by the nilpotency QB2 = 0 of the BRS charge. In addition, ghost number fractionization is observed in this system. |
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