论文标题
量子重力的一阶公式的结构身份
Structural identities in the first order formulation of quantum gravity
论文作者
论文摘要
我们研究了量子重力的一阶公式的自洽，这可以通过引入另一个辅助量子场的Graviton Field来实现。通过比较集成附加字段之前和之后生成功能$ z $的形式，我们得出了一组结构身份，这些结构身份在所有订单上都必须由绿色的功能满足。这些与通常的病房身份不同，这对于第一阶形式主义的自愿是必要的。它们将涉及附加量子场的绿色功能与包含特定复合重力场的那些功能相关联，这与其经典值相对应。因此，结构身份导致对辅助领域的简单解释。
We study the self-consistency of the first order formulation of quantum gravity, which may be attained by introducing, apart from the graviton field, another auxiliary quantum field. By comparing the forms of the generating functional $Z$ before and after integrating out the additional field, we derive a set of structural identities which must be satisfied by the Green's functions at all orders. These are distinct from the usual Ward identities, being necessary for the self-consistency of the first order formalism. They relate the Green's functions involving the additional quantum field to those containing a certain composite graviton field, which corresponds to its classical value. Thereby, the structural identities lead to a simple interpretation of the auxiliary field.
