论文标题
自由和互动场理论之间的对应关系
A correspondence between the free and interacting field theories
论文作者
论文摘要
我们发现自由场与相互作用状态之间的对应关系。首先是从以下事实中给出的，即自由繁殖器可以通过HERMITE函数基础扩展，可以将自由传播器转换为巨大状态的传播塔。繁殖者的等效性表明，在这种情况下，双重性自然可以被视为一个理论在平面波基础上与另一个理论的等效性，这是基于HERMITE的函数。更一般而言，HERMITE函数基础提供了与创建/歼灭操作员直接相对应与交互字段相对应的替代量化过程。此外，Hermite函数基础定义了尺寸还原的确切方法。作为例证，我们将此基础应用于3+1维杨米尔斯理论，其三维空间通过HERMITE函数降低，如果仅具有最低的储力功能，那么等效的动作就会成为库存式动作，即将成为银行 - 菲斯勒 - 弗斯特勒 - s-shenker-susskind（BFSSS）矩阵模型。
We discover a correspondence between the free field and the interacting states. This correspondence is firstly given from the fact that the free propagator can be converted into a tower of propagators for massive states, when expanded with the Hermite function basis. The equivalence of propagators reveals that in this particular case the duality can naturally be regarded as the equivalence of one theory on the plane wave basis to the other on the Hermite function basis. More generally, the Hermite function basis provides an alternative quantization process with the creation/annihilation operators that correspond directly to the interacting fields. Moreover, the Hermite function basis defines an exact way of dimensional reduction. As an illustration, we apply this basis on 3+1 dimensional Yang-Mills theory with three dimensional space being reduced through the Hermite function basis, and if with only the lowest order Hermite function, the equivalent action becomes the Banks-Fischler-Shenker-Susskind (BFSS) matrix model.
