论文标题
Dirac-Bergmann程序考虑了宽川模型的相互作用
Dirac-Bergmann Procedure Having Regard to Interaction for Light-Front Yukawa Model
论文作者
论文摘要
在这项工作中，我们应用了Dirac-Bergmann程序来建立Dirac括号，这些dirac括号将d = 1+3尺寸的轻横向Yukawa模型的相互作用考虑。我们使用了一个简单的矩阵方程式，导致了设置任务的解决方案，其中主要问题是计算由启用交互的约束组成的数组的逆矩阵。提出的设备归结为某些，基本矩阵系列的使用。获得的结果 - 包括Yukawa模型的相互作用的狄拉克支架 - 用费米子标量耦合常数的第一和第二功能包含相互作用的贡献。从物理的角度来看，有趣的是，在量化后，相互作用理论的（反）交互理论的（反）换向因子的结构和特性很有趣。我们将获得的结果比较了从海森伯格方程推断的定量方法的计算。开放的问题是，该矩阵的逆矩阵是否由约束生成，给出了所研究问题的完整而精确或近似的解决方案。
In this work we applied the Dirac-Bergmann procedure to establish the Dirac brackets, which have regard to interaction for the light-front Yukawa model in D=1+3 dimensions. We made use of a simple matrix equation leading to solution of the set task, wherein the main problem was to calculate the inverse matrix to the array composed of the constraints for enabled interaction. Proposed device comes down to the usage of certain, rather elementary matrix series. Obtained result - Dirac brackets including interaction for the Yukawa model - embraces the interacting contributions with first and second powers of the fermionic - scalar coupling constant. It is interesting from the physical point of view for discussion on the structure and the properties of the (anti-) commutators of the interacting theories on the light-front hyper-surface after quantization. We compared obtained results to the computations coming from modified method of the quantization, inferred from the Heisenberg equations. The open problem is whether the inverse matrix to this one, generated by the constraints, gives the complete and exact or only approximate solution of the studied problem.
