标题： 具有两种电荷的非紧致格点QED：相图与重正化群流 显示英文标题

标题： Non-compact Lattice QED with Two Charges: Phase Diagram and Renormalization Group Flow

摘要： 研究了具有交错费米子电荷 1 和$-1/2$的四维非紧致格点 QED 的相图。 重整化后的电荷被确定，并且发现与微扰理论一致。 这是一个迹象，表明不存在具有非零重整化规范耦合的连续极限，并且对于每个有限的重整化耦合值，该理论都有一个有效性界限。 研究了电荷的重正化群流，并得到了作为截止函数的有效性界限的估计值。 将此估计推广到标准模型中的所有费米子，结果表明普朗克尺度的截止意味着$\alpha_R$必须小于$1/80$。 由于自发的手征对称性破缺，产生了强束缚的费米子-反费米子复合态。 讨论了它们的能谱。 显示英文摘要

摘要： The phase diagram of non-compact lattice QED in four dimensions with staggered fermions of charges 1 and $-1/2$ is investigated. The renormalized charges are determined and found to be in agreement with perturbation theory. This is an indication that there is no continuum limit with non-vanishing renormalized gauge coupling, and that the theory has a validity bound for every finite value of the renormalized coupling. The renormalization group flow of the charges is investigated and an estimate for the validity bound as a function of the cut-off is obtained. Generalizing this estimate to all fermions in the Standard Model,it is found that a cut-off at the Planck scale implies that $\alpha_R$ has to be less than $1/80$. Due to spontaneous chiral symmetry breaking, strongly bound fermion-antifermion composite states are generated. Their spectrum is discussed.