论文标题
在不可投射的Horava理论中取消差异
Cancellation of divergences in the nonprojectable Horava theory
论文作者
论文摘要
我们对量子不可注射的Horava重力的紫外线分析进行分析。我们直接在由Batalin-Fradkin-Vilkovisky量化的哈密顿形式主义中运行量子场理论。这样，二等约束可以纳入量化。一种已知的当地量规条件导致了当地的规范Lagrangian。尽管规范场获取了常规的繁殖者，但不规则的繁殖者仍然存在与二等约束量度相关的领域。可以用不规则的传播器形成循环，产生潜在的危险子扩展。我们表明，由于传播器与形成循环的斑点和幽灵之间的完美匹配，所有这些循环完全取消了它们。其余的分歧与可预测的理论相似，可以通过当地反对者将其删除。该结果指出了非注射horava理论的重新归一化。
We perform an analysis of the ultraviolet divergences of the quantum nonprojectable Horava gravity. We work the quantum field theory directly in the Hamiltonian formalism provided by the Batalin-Fradkin-Vilkovisky quantization. In this way the second-class constraints can be incorporated to the quantization. A known local gauge-fixing condition leads to a local canonical Lagrangian. Although the canonical fields acquire regular propagators, irregular propagators persist for the field associated to the measure of the second-class constraints. Loops can be formed with the irregular propagators producing potentially dangerous subdivergences. We show that all these loops cancel exactly between them due to a perfect matching between the propagators and vertices of the fields and ghosts forming the loops. The rest of divergences behaves similiarly to the projectable theory, they can be removed by local counterterms. This result points to the renormalization of the nonprojectable Horava theory.
