平坦时空中非相对论玻色弦的一种新方法
A new approach for nonrelativistic bosonic string in flat space time
摘要:
基于对弦的最小作用量的整体哈密顿分析,提出了一种研究平直时空中非相对论玻色弦的新方法。这导致了一个结构上的新形式的行动,这是,然而,相当于已知的结果,因为在适当的限制下,它插在最小的行动(Nambu Goto类型),其中字符串度量是由嵌入和Polyakov类型的行动,其中世界表度量组件是独立的字段。不同的行动之间的等价性建立了一个详细的研究对称性,使用约束分析。澄清了现有文献中的各种令人烦恼的问题。这里提出的插值行动显示,以揭示字符串的几何形状,并可能是有用的,在分析非相对论字符串耦合弯曲的背景。
英文摘要:
A new approach to the study of nonrelativistic bosonic string in flat space time is introduced, basing on a holistic hamiltonian analysis of the minimal action for the string. This leads to a structurally new form of the action which is, however, equivalent to the known results since, under appropriate limits, it interpolates between the minimal action (Nambu Goto type) where the string metric is taken to be that induced by the embedding and the Polyakov type of action where the world sheet metric components are independent fields. The equivalence among different actions is established by a detailed study of symmetries using constraint analysis. Various vexing issues in the existing literature are clarified. The interpolating action mooted here is shown to reveal the geometry of the string and may be useful in analyzing nonrelativistic string coupled with curved background.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。