论文标题
低能量极限中开放玻色弦字段理论的规格不变运算符
Gauge-invariant operators of open bosonic string field theory in the low-energy limit
论文作者
论文摘要
在AD/CFT对应关系中,我们考虑了规格理论方面的量规不变算子的相关函数,我们在开放式弦扇区的低能量极限中获得。为了研究这种低能的极限,我们考虑开放式骨弦场理论的作用,包括量规不变运算符的源术语,并经典地集成了大型领域,以获得无质量领域的有效作用。尽管量规不变的运算符线性依赖于开放的字符串字段,并且不类似于相应的操作员,例如低能量限制的能量弹药张量,但我们发现非线性依赖性是在集成大型领域的过程中生成的。我们还发现,量规变换的修改方式是,可以用相同的一组满足弱$ a_ \ infty $关系的多弦产品组编写的有效动作和修改的量规变换,并且我们呈现了多弦产品的显式表达式。
In the AdS/CFT correspondence we consider correlation functions of gauge-invariant operators on the gauge theory side, which we obtain in the low-energy limit of the open string sector. To investigate this low-energy limit we consider the action of open bosonic string field theory including source terms for gauge-invariant operators and classically integrate out massive fields to obtain the effective action for massless fields. While the gauge-invariant operators depend linearly on the open string field and do not resemble the corresponding operators such as the energy-momentum tensor in the low-energy limit, we find that nonlinear dependence is generated in the process of integrating out massive fields. We also find that the gauge transformation is modified in such a way that the effective action and the modified gauge transformation can be written in terms of the same set of multi-string products which satisfy weak $A_\infty$ relations, and we present explicit expressions for the multi-string products.