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arXiv 1609.01736hep-th
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有效弦论中的边界算子

Boundary Operators in Effective String Theory

Simeon Hellerman, Ian Swanson

摘要:

相对论旋转弦的各种普适特征依赖于世界面上允许的局部算符的组织。本文研究了有效弦论中的Neumann边界算子集,它与端点自由运动的开相对论弦的受控研究有关。相对论性开弦被认为是平面近似下规范理论中受限夸克-反夸克对动力学的编码。诺依曼边界算子可以通过它们在目标空间坐标X的缩放下的行为来组织,并且允许的X-缩放指数的集合在上面有界+1/2并且在下面无界。对X尺度的负贡献来自于一个单一的不变量的幂,或者说是“修饰”算子,它在嵌入坐标中是双线性的。特别是,我们表明,所有的诺依曼边界算子是穿着四分之一整数幂的这个不变,我们演示了如何从各种方式来调节短距离奇点的有效理论这一规则。

英文摘要:

Various universal features of relativistic rotating strings depend on the organization of allowed local operators on the worldsheet. In this paper, we study the set of Neumann boundary operators in effective string theory, which are relevant for the controlled study of open relativistic strings with freely moving endpoints. Relativistic open strings are thought to encode the dynamics of confined quark-antiquark pairs in gauge theories in the planar approximation. Neumann boundary operators can be organized by their behavior under scaling of the target space coordinates X, and the set of allowed X-scaling exponents is bounded above by +1/2 and unbounded below. Negative contributions to X-scalings come from powers of a single invariant, or "dressing" operator, which is bilinear in the embedding coordinates. In particular, we show that all Neumann boundary operators are dressed by quarter-integer powers of this invariant, and we demonstrate how this rule arises from various ways of regulating the short-distance singularities of the effective theory.

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。

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