Covariant string field theory.

Covariant string field theory.
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协变弦场理论。

DOI:
10.1103/physrevd.34.2360
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发表时间:
1986
期刊:
Physical review. D, Particles and fields
影响因子:
--
通讯作者:
Kaku Ogawa
Kaku Ogawa
中科院分区:
--
文献类型:
--
作者:
H. Hata;K. Itoh;T. Kugo;H. Kunitomo;Kaku Ogawa

文献摘要

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对于开放玻色弦情形,给出了协变弦场理论的全部细节。以前报道的规范固定作用量和Becchi-Rouet-Stora(BRS)变换是通过添加这里显式构造的四次弦相互作用项来完成的。充分阐明了3-弦和4-弦顶点的性质。由此,我们建立了完全非线性BRS变换的幂零性质和规范作用的BRS不变性。另一方面,这也建立了我们的规范不固定作用的规范不变性和规范变换的群律,这也是以前报道过的。一般的N弦振幅是在树的水平上显式计算的,并且被证明正确地再现了壳层上物理外部状态的通常的双振幅。特别地,我们证明了树层次上的壳上物理振幅与弦长度参数完全无关。协变弦作用量的零斜率极限以及BRS变换的零斜率极限是完全脱离质量壳层计算的。对于规范不变部分,所得到的作用量与通常的协变Yang-Mills作用量-(1/4)trf/sub..mu..//sub..nu.//sup2/as和非平凡的..capal.依赖只出现在固定标准的术语中。
The covariant string field theory is presented in its full detail for the open-bosonic-string case. The previously reported gauge-fixed action and Becchi-Rouet-Stora (BRS) transformation are completed by adding the quartic string-interaction term constructed explicitly here. The properties of the 3-string and 4-string vertices are fully clarified. We thus establish the nilpotency of the full nonlinear BRS transformation and the BRS invariance of our gauge-fixed action. This, on the other hand, establishes also the gauge invariance of our gauge-unfixed action and the group law of the gauge transformations, which were also reported previously. The general N-string amplitudes are computed explicitly at the tree level and shown to reproduce correctly the usual dual amplitudes for the on-shell physical external states. In particular we prove that the on-shell physical amplitudes at the tree level are completely independent of the string length parameter ..cap alpha... The zero-slope limit of our covariant string action as well as of the BRS transformation is calculated completely off the mass shell. The resultant action has the same form as the usual covariant Yang-Mills action -(1/4)trF/sub ..mu..//sub ..nu../ /sup 2/ as for the gauge-invariant part, and the nontrivial ..cap alpha.. dependence appears only in the gauge-fixing terms.