Perturbatively renormalized vertex operator, highest-weight representations of Virasoro algebra, and string dynamics in curved space.
Perturbatively renormalized vertex operator, highest-weight representations of Virasoro algebra, and string dynamics in curved space.
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扰动重整化顶点算子、Virasoro 代数的最高权重表示以及弯曲空间中的弦动力学。
DOI：
10.1103/physrevd.35.3116
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发表时间：
1987
期刊：
影响因子：
--
通讯作者：
S. Wadia
中科院分区：
文献类型：
--
作者：
Sanjay Jain;G. Mandal;S. Wadia
从共形不变场论的角度考虑弦动力学。我们讨论二维非线性 \ensuremath{\sigma} 模型目标空间中一般标量场的重整化。反项按照斜率参数中的前导顺序构建。重整化算子包含指数因子，可产生作为红外截止函数的正确缩放属性。算子是具有缩放维度 (h,h\ifmmode\bar\else\textasciimacron\fi{})=(1,1)（即满足 Virasoro 规范条件的顶点算子）的基本共形场的要求决定了描述来自弦 I 和 R 的快子发射的顶点函数，背景场的方程，在我们的例子中是 公制和膨胀。这就是 Virasoro 代数表示的明确的、微扰的构造。在 Becchi-Rouet-Stora-Tyutin (BRST) 公式中，背景和物理光谱是方程 Q\ensuremath{\psi}=0 的解，其中 Q 是 BRST 变化。
String dynamics is considered from the viewpoint of conformally invariant field theory. We discuss the renormalization of a general scalar field in the target space of a two-dimensional nonlinear \ensuremath{\sigma} model. Counterterms are constructed to leading order in the slope parameter. The renormalized operator contains exponential factors that give rise to correct scaling properties as a function of the infrared cutoff. The requirement that the operator be a primary conformal field with scaling dimension (h,h\ifmmode\bar\else\textasciimacron\fi{})=(1,1) (i.e., a vertex operator satisfying the Virasoro gauge conditions) determines the vertex function which describes tachyon emission from the string Iand Rthe equations for the background fields, which in our case are the metric and the dilaton. This then is an explicit, perturbative construction of a representation of the Virasoro algebra. In the Becchi-Rouet-Stora-Tyutin (BRST) formulation the backgrounds and the physical spectrum are solutions of the equation Q\ensuremath{\psi}=0, where Q is the BRST change.