一阶形式下的Maxwell - Chern - Simons拓扑质量规范场
Maxwell - Chern - Simons topologically massive gauge fields in the first-order formalism
摘要：
我们找到了正则和贝林凡特能量动量张量及其非零迹。我们注意到，伸缩对称性被破缺，伸缩流的发散与规范场的拓扑质量成正比。证明了规范场具有标度维数d=1/2。用一阶形式给出了2+1维拓扑有质量规范场理论.证明了相对论波动方程的6 × 6-矩阵服从Duffin-Kemmer- Petiau代数.给出了相对论性波动方程的厄米化矩阵。得到了求解具有一定能量动量和自旋态的场方程的投影算符。在排除非动力学分量后，导出了方程的5 × 5矩阵薛定谔形式，并得到了量子力学哈密顿量。找到了在薛定谔图像中提取物理状态的投影算子。
英文摘要：
We find the canonical and Belinfante energy-momentum tensors and their nonzero traces. We note that the dilatation symmetry is broken and the divergence of the dilatation current is proportional to the topological mass of the gauge field. It was demonstrated that the gauge field possesses the `scale dimensionality' d=1/2. Maxwell - Chern - Simons topologically massive gauge field theory in 2+1 dimensions is formulated in the first-order formalism. It is shown that 6x6-matrices of the relativistic wave equation obey the Duffin - Kemmer - Petiau algebra. The Hermitianizing matrix of the relativistic wave equation is given. The projection operators extracting solutions of field equations for states with definite energy-momentum and spin are obtained. The 5x5-matrix Schrodinger form of the equation is derived after the exclusion of non-dynamical components, and the quantum-mechanical Hamiltonian is obtained. Projection operators extracting physical states in the Schrodinger picture are found.
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