标题： 具有多味伴随标量场的二维晶格SU($N_c$)规范理论 显示英文标题

标题： Two-dimensional lattice SU($N_c$) gauge theories with multiflavor adjoint scalar fields

摘要： 我们研究了二维晶格SU($N_c$)规范理论，其中包含$N_f$个实标量场，这些场以规范群的伴随表示变换，并且具有全局O($N_f$)不变性。 重点关注$N_f\ge 3$的系统，我们研究它们在零温下的极限，以了解在什么条件下存在连续极限，并探讨相关量子场论的本质。 通过扩展先前的分析，我们讨论了规范群表示和四次标量势在决定连续极限（当它存在时）中的作用。 我们的结果进一步证实了这样一个猜想：当存在时，具有多味标量场的二维晶格规范模型的连续极限与定义在具有晶格模型相同全局对称性的对称空间上的$\sigma$模型有关。 显示英文摘要

摘要： We consider two-dimensional lattice SU($N_c$) gauge theories with $N_f$ real scalar fields transforming in the adjoint representation of the gauge group and with a global O($N_f$) invariance. Focusing on systems with $N_f\ge 3$, we study their zero-temperature limit, to understand under which conditions a continuum limit exists, and to investigate the nature of the associated quantum field theory. Extending previous analyses, we address the role that the gauge-group representation and the quartic scalar potential play in determining the nature of the continuum limit (when it exists). Our results further corroborate the conjecture that the continuum limit of two-dimensional lattice gauge models with multiflavor scalar fields, when it exists, is associated with a $\sigma$ model defined on a symmetric space that has the same global symmetry as the lattice model.