论文标题
关于量规田间理论和庞加利转换的规范公式
On the canonical formulation of gauge field theories and Poincare transformations
论文作者
论文摘要
我们谈到了汉密尔顿的古典仪表田理论的表述，同时提出结果并不是全新的，尽管它们似乎并不众所周知。我们特别指的是，规范能量动量矢量$（p ^μ）$也不是不变的能量动量矢量$（p _ {\ textrm {\ textrm {inv}} ^μ）都会通过poisson bracket和poisson bracke and One coge and Antim of Antim of Antim of Engication and Ancomation of Encipation of Encipation of poisson and of a gimuge n of a imum in the cogemant of poisson and。电动力学中的辐射量表）必须考虑狄拉克支架，而不是泊松支架。类似的参数适用于旋转和洛伦兹的提升，并且与“核定旋转危机”具有直接相关性，因为质子的自旋涉及贡献，这是由于gluons的角动量向量引起的，因此需要对后者进行适当的处理。我们以一些评论对不同量化方法之间的关系进行了一些评论（基于经典的汉密尔顿公式，Gupta-Bleuler，路径积分，BRST，BRST，协变量的规范方法）之间的关系。
We address the Hamiltonian formulation of classical gauge field theories while putting forward results some of which are not entirely new, though they do not appear to be well known. We refer in particular to the fact that neither the canonical energy momentum vector $(P^μ)$ nor the gauge invariant energy momentum vector $(P_{\textrm{inv}} ^μ)$ do generate space-time translations of the gauge field by means of the Poisson brackets: In a general gauge, one has to consider the so-called kinematical energy momentum vector and, in a specific gauge (like the radiation gauge in electrodynamics), one has to consider the Dirac brackets rather than the Poisson brackets. Similar arguments apply to rotations and to Lorentz boosts and are of direct relevance to the "nucleon spin crisis" since the spin of the proton involves a contribution which is due to the angular momentum vector of gluons and thereby requires a proper treatment of the latter. We conclude with some comments on the relationships between the different approaches to quantization (canonical quantization based on the classical Hamiltonian formulation, Gupta-Bleuler, path integrals, BRST, covariant canonical approaches).
