四维附近狄拉克费米子的谷间耦合效应
The Effects of Inter-Valley Coupling of Dirac Fermions near Four Dimensions
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中文总结 AI 辅助
该研究通过4-ε时空维度下的单圈重整化群分析，探讨了N_ψ个狄拉克费米子谷的GNY理论临界性，发现常规谷解耦GNY不动点对谷间涨落不稳定，新不动点的临界指数不同，大N_ψ极限下有限谷间耦合的不动点稳定且洛伦兹不变性渐近恢复。
中文摘要 AI 辅助
我们在4-ε时空维度下采用单圈重整化群分析，研究具有谷内和谷间相互作用的N_ψ个狄拉克费米子谷的伊辛-格罗斯-内夫-汤川（GNY）理论的临界性。若对称性破缺由短程相互作用驱动，常规的谷解耦GNY不动点对自然存在的谷间涨落不稳定。在新不动点处，临界指数与常规GNY普适类不同，最关键的是，因谷坐标系相对旋转产生的干涉效应，洛伦兹不变性被打破。在大N_ψ极限下，具有有限谷间耦合的临界不动点仍保持稳定，但洛伦兹不变性渐近恢复。
英文摘要
We analyze the criticality of an Ising Gross-Neveu-Yukawa (GNY) theory of $N_ψ$ Dirac fermion valleys with intra- and inter-valley interactions, using a renormalization-group analysis in $4-ε$ space-time dimensions to one-loop order. The conventional GNY fixed point of decoupled valleys is unstable against inter-valley fluctuations which are naturally present if the symmetry breaking is driven by short-ranged interactions. At the new fixed point, the critical exponents differ from the conventional GNY universality. Most importantly, Lorentz invariance is broken due to interference effects resulting from the relative rotation between valley coordinate frames. In the limit of large $N_ψ$ the critical fixed point with finite inter-valley coupling remains stable but Lorentz invariance is asymptotically restored.
