标题： 多场RFT/DP临界性中的涌现对称性 显示英文标题

标题： Emergent symmetries at criticality in multi field RFT/DP

摘要： 我们研究了在临界状态下，Reggeon场理论（也等价于定向渗流模型）在上临界维数Dc=4以下的微扰ε展开中的一环近似下的多场扩展，当所有场具有相同标度（反常）维数的特殊情况。 分析N=2味和一些N=3的重整化群流的所有固定点，我们找到了由相互作用势的特定涌现全局对称性所表征的尺度不变解。 我们还研究了作为N函数的两个无限族，具有Z_N和S_{N+1}对称性。 显示英文摘要

摘要： We study multifield extensions of Reggeon Field Theory (also equivalent to Directed Percolation model) at criticality in the perturbative epsilon-expansion below the upper critical dimension Dc=4 at one loop, for the special case when all fields have the same scale (anomalous) dimensions. Analyzing all the fixed points of the renormalization group flow for N=2 flavors and some for N=3, we find scale invariant solutions which are characterized by specific emergent global symmetries of the interacting potential. We also study two infinite families as a function of N having Z_N and S_{N+1} symmetries.