论文标题
各向异性的特殊相对论
Anisotropic Special Relativity
论文作者
论文摘要
各向异性特殊相对论（ASR）是自然的相对论理论，其在时空方面优先。通过放松时空限制到一个方向的偏好，我们将Minkowski公制的扰动修改为$ \ Mathscr {g} _ {μN_{μν} =η_{μ{μbim__{μbim__{μnν} $，导致一个后元素的一个后元素。获得ASR的对称组具有六个满足洛伦兹组代数的发电机。但是，使用扰动参数$ b $将发电机变形。因此，ASR保留了相同的相对性（SR）相同的表示，但同时允许Lorentz-Invariant违规行为。提供了一种使各向异性量子场理论的程序，其中lorentz-invariant lagrangians被其ASR版本所取代，其中任何一对协变量/逆转索引的内部产物由各向异性量子$ \ mathscr {g} _ {g {g {genum介导。
Anisotropic Special Relativity (ASR) is the relativistic theory of nature with a preferred direction in space-time. By relaxing the full-isotropy constraint on space-time to the preference of one direction, we get a perturbative modification of the Minkowski metric as $\mathscr{g}_{μν}=η_{μν}-bε_{μν}$ leading to an extension to the geometrical objects such as line element. The symmetry group of ASR is obtained to have six generators satisfying the full Lorentz group algebra. However, the generators are deformed using the perturbation parameter $b$. So, ASR retains the same representations of Special Relativity (SR) but allows for Lorentz-invariant violation at the same time. A procedure to make an anisotropic quantum field theory is provided wherein the Lorentz-invariant Lagrangians are replaced with their ASR version in which the inner product of any pair of covariant/contravariant indices is mediated by the anisotropic metric $\mathscr{g}_{μν}$.
