零平面上的$SQED_4$和$QED_4$
$SQED_4$ and $QED_4$ on the null-plane
摘要:
我们在零平面形式下研究了标量电动力学($SQED_{4}$)和旋量电动力学($QED_{4}$)。我们遵循狄拉克的技术约束系统进行详细的分析,在这两个理论的约束结构。我们施加适当的边界条件的字段,以固定的隐藏子集的第一类约束,产生不适当的规范变换,并获得一个唯一的逆的第二类约束矩阵。最后,在零平面规范条件下,确定了独立动力学变量的广义Dirac括号,并利用对应原理给出了后验量子化的(反)量子化子。
英文摘要:
We studied the scalar electrodynamics ($SQED_{4}$) and the spinor electrodynamics ($QED_{4}$) in the null-plane formalism. We followed the Dirac's technique for constrained systems to perform a detailed analysis of the constraint structure in both theories. We imposed the appropriated boundary conditions on the fields to fix the hidden subset first class constraints which generate improper gauge transformations and obtain an unique inverse of the second class constraint matrix. Finally, choosing the null-plane gauge condition, we determined the generalized Dirac brackets of the independent dynamical variables which via the correspondence principle give the (anti)-commutators for posterior quantization.
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。