论文标题
横向表场相互作用引起的通用维度的关键费米表面
Critical Fermi surfaces in generic dimensions arising from transverse gauge field interactions
论文作者
论文摘要
我们通过应用先前开发的维数正则化方案[Phys [Phys。 Rev. B 92，035141（2015）]。我们考虑$ u（1）$和$ u（1）\ times u（1）$ transversemanguge耦合的情况，并提取重新归一化组（RG）流量固定点以及临界尺度的性质。我们的分析使我们能够在扩展参数$ε= \ left（2-m \右） /\ left（m+1 \右）中扰动地处理一般维度的关键费米表面。$之一是，我们的一个关键结果之一是，尽管两循环的校正并不能以某些$ u（1）$ u（1）$ u（1）$ u（1）$ u（1）$ u（1）$ u（1）$ u（1）$ u（1）$ u（1）\ u（1）\ u（1）\ u（1）\ u（1）$ u（1）\ u（1）\ u（1）\ u（1）\ u（1）。一环订单，三阶图做。但是，还以$ m> 1 $获得此固定线功能，由于紫外线/IR混合，答案是一环的。
We study critical Fermi surfaces in generic dimensions arising from coupling finite-density fermions with transverse gauge fields, by applying the dimensional regularization scheme developed previously [Phys. Rev. B 92, 035141 (2015)]. We consider the cases of $U(1)$ and $U(1)\times U(1)$ transverse gauge couplings, and extract the nature of the renormalization group (RG) flow fixed points as well as the critical scalings. Our analysis allows us to treat a critical Fermi surface of a generic dimension $m$ perturbatively in an expansion parameter $ε=\left (2-m \right ) /\left (m+1 \right).$ One of our key results is that although the two-loop corrections do not alter the existence of an RG flow fixed line for certain $U(1)\times U(1)$ theories, which was identified earlier for $m=1$ at one-loop order, the third-order diagrams do. However, this fixed line feature is also obtained for $m>1$, where the answer is one-loop exact due to UV/IR mixing.
