U（2 $N$）-对称极限下的平面Thirring模型
Planar Thirring Model in the U(2$N$)-symmetric limit
摘要：
我回顾Thirring模型在2 + 1 $d$维度，特别是集中在可能的强相互作用的UV稳定的不动点的重整化组，对应于一个连续的相变，其中U（$2N$）的全球对称性自发地打破U（$N)\otimes$ U（$N$）。由于没有小参数在起作用，一个系统的非微扰方法，如数值模拟的格子场论是强制性的。我比较和对比各种配方，特别注意模型制定交错或畴壁晶格费米子。畴壁费米子，忠实地捕捉U（$2N$）对称性的限制壁分离$L_s\to\infty$，预测一个临界味数$1<N_c<2$。
英文摘要：
I review the Thirring model in 2+1$d$ dimensions, focussing in particular on possible strongly-interacting UV-stable fixed points of the renormalisation group, corresponding to a continuous phase transition where a U($2N$) global symmetry spontaneously breaks to U($N)\otimes$U($N$). Since there is no small parameter in play, a systematic non-perturbative approach such as numerical simulation of lattice field theory is mandated. I compare and contrast various formulations, paying particular attention to models formulated with either staggered or domain wall lattice fermions. Domain wall fermions, which faithfully capture U($2N$) symmetry in the limit of wall separation $L_s\to\infty$, predict a critical flavor number $1<N_c<2$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
