论文标题
RG在非扰动仪表统一中流动II。 HIGGS相的有效作用在量子相变附近
RG flows in Non-Perturbative Gauge-Higgs Unification II. Effective action for the Higgs phase near the quantum phase transition
论文作者
论文摘要
我们在五个维度上为SU（2）Yang-Mills理论构建零温度（无紧凑的维度）有效作用，边界条件减少了位于原点的四维边界上的对称性，该边界位于U（1） - 复合标量系统。为了对HIGGS阶段保持敏感，我们需要在有效的动作中包括更高的维操作员，这可以通过在小晶格间距中扩展相应的晶格结构来自然实现，从而获得Naive Cannive Cantinuum limit，然后进行重新归一化。此外，我们在有效的动作非扰动信息中构建了与已知存在的一阶量子相变有关的。结果，有效的动作获得了低且标量质量的微调的有限切割。
We construct the zero temperature (no compact dimensions) effective action for an SU(2) Yang-Mills theory in five dimensions, with boundary conditions that reduce the symmetry on the four-dimensional boundary located at the origin to a U(1)-complex scalar system. In order to be sensitive to the Higgs phase, we need to include higher dimensional operators in the effective action, which can be naturally achieved by generating it by expanding the corresponding lattice construction in small lattice spacing, taking the naive continuum limit and then renormalizing. In addition, we build in the effective action non-perturbative information, related to a first order quantum phase transition known to exist. As a result, the effective action acquires a finite cut-off that is low and the fine tuning of the scalar mass is rather mild.
