光阵面Yukawa模型考虑相互作用的Dirac-Bergmann过程
Dirac-Bergmann Procedure Having Regard to Interaction for Light-Front Yukawa Model
摘要：
本文应用Dirac-Bergmann方法建立了D=1+3维光阵面Yukawa模型的Dirac括号。我们利用一个简单的矩阵方程，导致解决的一组任务，其中的主要问题是计算逆矩阵的数组组成的约束，使互动。所提出的装置归结为使用某些相当基本的矩阵序列。得到的结果-狄拉克括号，包括相互作用的汤川模型-包括相互作用的贡献与第一次和第二次权力的费米-标量耦合常数。从物理的角度讨论量子化后的光阵面超曲面上的相互作用理论的（反）子的结构和性质是很有趣的。我们比较得到的结果来从修改后的方法的量子化，从海森堡方程推断的计算。开放的问题是是否逆矩阵，这一个，所产生的约束，给出了完整的和准确的或唯一的近似解决方案的研究问题。
英文摘要：
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.
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