论文标题
QCD \ textSubscript {3}中的动力夸克质量产生
Dynamical Quark Mass Generation in QCD\textsubscript{3} within the Hamiltonian approach in Coulomb gauge
论文作者
论文摘要
我们调查了哈密顿量测量方法中库仑量规的等级（静态）夸克传播器，以$ d = 2 $空间尺寸为$ d = 2 $。尽管基础Clifford代数与$ d = 3 $中的对应物截然不同，但动态质量函数的差距方程具有相同的形式。在$ d = 3 $中引入的附加向量内核，以取消差距方程的线性差异并保留夸克传播器的乘法性可重差差异，从而使间隙方程无差异也无差，也使$ d = 2 $。
We investigate the equal-time (static) quark propagator in Coulomb gauge within the Hamiltonian approach to QCD in $d=2$ spatial dimensions. Although the underlying Clifford algebra is very different from its counterpart in $d=3$, the gap equation for the dynamical mass function has the same form. The additional vector kernel which was introduced in $d=3$ to cancel the linear divergence of the gap equation and to preserve multiplicative renormalizability of the quark propagator makes the gap equation free of divergences also in $d=2$.
