论文标题
哈密顿重态度v：自由向量玻色子
Hamiltonian Renormalisation V: Free Vector Bosons
论文作者
论文摘要
在最近的一项提案中，我们应用了从建设性QFT的方法来得出哈密顿量重量量量量量量量量的组，以最终将其用于规范量子重力。该提案已成功地测试了自由标量场，因此，下一步是自由量表理论测试的。这可以在减少相空间定量的框架中完成，该框架允许使用较早针对标量场理论开发的技术。此外，在规范量子重力中，一个人在支持麦克斯韦或proca理论的FOCK表示中定义的单位运算符的表示形式作用。因此，我们考虑具有两个功能的玩具模型，即采用自治操作员明确定义的FOCK表示。我们将考虑标量字段的粗栅格图适应了自由矢量玻色子的这些理论。事实证明，可以通过分析找到相应的固定指数理论。
In a recent proposal we applied methods from constructive QFT to derive a Hamiltonian Renormalisation Group in order to employ it ultimately for canonical quantum gravity. The proposal was successfully tested for free scalar fields and thus a natural next step is to test it for free gauge theories. This can be done in the framework of reduced phase space quantisation which allows using techniques developed earlier for scalar field theories. In addition, in canonical quantum gravity one works in representations that support holonomy operators which are ill defined in the Fock representation of say Maxwell or Proca theory. Thus, we consider toy models that have both features, i.e. which employ Fock representations in which holonomy operators are well-defined. We adapt the coarse graining maps considered for scalar fields to those theories for free vector bosons. It turns out that the corresponding fixed pointed theories can be found analytically.
