Gauge-invariant operators of open bosonic string field theory in the low-energy limit
Gauge-invariant operators of open bosonic string field theory in the low-energy limit
复制标题
DOI：
--
复制
发表时间：
2020-06
期刊：
影响因子：
--
通讯作者：
Daiki Koyama;Y. Okawa;Nanami Suzuki
中科院分区：
文献类型：
--
作者：
Daiki Koyama;Y. Okawa;Nanami Suzuki
在AdS/CFT对应中，我们考虑规范不变算子在规范理论方面的相关函数，这是我们在开弦扇区的低能极限中获得的。为了研究这种低能量极限，我们考虑开放玻色弦场论的作用，包括规范不变算子的源项，并经典地积分出大质量场，以获得无质量场的有效作用。而规范不变的运营商线性依赖于开弦场，并不类似于相应的运营商，如能量动量张量在低能极限，我们发现，非线性依赖的过程中产生的集成出大量的领域。我们还发现，规范变换被修正，使得有效作用量和修正的规范变换可以写成满足弱A\infty关系的多弦乘积的集合，并且给出了多弦乘积的显式表达式.
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.