论文标题
$ k $ -minkowski的$ u（1）$量规理论
$k$-Minkowski-deformation of $U(1)$ gauge theory
论文作者
论文摘要
我们构建了U（1）量规理论的非交换性Kappa-Minkowski变形，遵循一种通用方法，最近在JHEP 2008（2020）041中提出。我们获得了一个确切的（非交换性参数）表达的确切（所有订单）表达式，用于在这些变形的野外强度下，在这些变形的场强下，这些变形的场强，这是这些转换的变形。相应的阳米尔斯拉格朗日是量规协变量，并在交换性限制中复制了麦克斯韦·拉格朗日。动作功能的规格不变性需要一项非平凡的整合度量，在交换性限制下，这并不能减少到琐碎的限制。我们讨论了这种非平整交换限制的物理含义，将其与未构成理论的非平凡时空曲率有关。此外，我们提出了一个重新缩放的Kappa-Minkowski非交流结构，该结构具有标准的平整交换限制。
We construct a non-commutative kappa-Minkowski deformation of U(1) gauge theory, following a general approach, recently proposed in JHEP 2008 (2020) 041. We obtain an exact (all orders in the non-commutativity parameter) expression for both the deformed gauge transformations and the deformed field strength, which is covariant under these transformations. The corresponding Yang-Mills Lagrangian is gauge covariant and reproduces the Maxwell Lagrangian in the commutative limit. Gauge invariance of the action functional requires a non-trivial integration measure which, in the commutative limit, does not reduce to the trivial one. We discuss the physical meaning of such a nontrivial commutative limit, relating it to a nontrivial space-time curvature of the undeformed theory. Moreover, we propose a rescaled kappa-Minkowski non-commutative structure, which exhibits a standard flat commutative limit.
