标题： 一环RG流对于伴随多标量规范理论 显示英文标题

标题： One-loop RG Flow for Adjoint Multiscalar Gauge Theory

摘要： 我们研究了4d SU(N) Yang-Mills理论中$M$伴随表示标量多重态的单环重整化。 我们通过开发一种代数描述来计算该理论的耦合单环重整化群流，我们发现这种描述由一个非结合的边缘耦合代数所表征。 对于情况$M = 22$，规范耦合$g^2$的4d单环β函数消失，这对弦理论来说很引人注目。 只有当$M\geq406$时，存在实固定流（$\lambda/g^2$的固定点），这使得规范耦合和标量耦合的一环固定点不相容。 显示英文摘要

摘要： We study the one-loop renormalisation of 4d SU(N) Yang-Mills theory with $M$ adjoint representation scalar multiplets. We calculate the coupled one-loop renormalization group flows for this theory by developing an algebraic description, which we find to be characterised by a non-associative algebra of marginal couplings. The 4d one-loop beta function of the gauge coupling $g^2$ vanishes for the case $M = 22$, which is intriguing for string theory. There are real fixed flows (fixed points of $\lambda/g^2$) only for $M\geq406$, rendering one-loop fixed points of the gauge coupling and scalar couplings incompatible.