论文标题
典范的重力理论中麦克斯韦场的消失扭转耦合
Vanishing torsion coupling of the Maxwell field in canonical gauge theory of gravity
论文作者
论文摘要
麦克斯韦字段可以看作是$ u（1）$ - 量规理论，因此将其推广到动态时空背景中的形式不变，应考虑到这种对称性。当考虑到对具有非变化扭转的理论的一般相对性的概括时，这至关重要。尽管文献中有许多陈述说$ u（1）$ - 量规范不能与扭转相结合，但该问题最近恢复了。在这封信中，我们通过在Dedonder-weyl Hamiltonian形式主义框架内通过规范转型来证明讨论的贡献，表明A $ U（1）$ - 量规领域不会伴随着Torsion。
The Maxwell field can be viewed as a $U(1)$-gauge theory, therefore, generalizing it to form-invariance in dynamical spacetime backgrounds should take this symmetry into account. This is of essential importance when generalizations of general relativity to theories with non-vanishing torsion are considered. Despite the many statements in literature that a $U(1)$-gauge field cannot couple to torsion, this issue was recently revived. In this letter we contribute to the discussion by demonstrating via a canonical transformation within the framework of the DeDonder-Weyl Hamiltonian formalism that a $U(1)$-gauge field does not couple to torsion.
