标题： 二维洛伦兹破坏卡西米尔效应 显示英文标题

标题： Two-dimensional Lorentz-violating Casimir effect

摘要： 在本研究中，我们考虑了四维麦克斯韦电动力学，该理论通过引入CPT偶的Myers-Pospelov破坏洛伦兹对称性的六维算符进行扩展，以研究在量子真空涨落效应（即卡西米尔效应）背景下的相关二维特性。 在将4D理论投影到2D理论时，我们得到了这些算符的类似形式，导致了一个在洛伦兹不变性破坏（LIV）标量模型中的修改色散关系，该模型等价于电磁理论。 通过利用修改后的色散关系，我们推导出在标量场上施加狄利克雷边界条件所引起的卡西米尔能量和力的精确解析表达式。 在LIV参数变得非常小的区域，我们恢复了已知的卡西米尔能量和力的结果，并加上了由于LIV带来的修正项。 显示英文摘要

摘要： In this study, we consider the four-dimensional Maxwell electrodynamics extended with CPT-even Myers-Pospelov Lorentz-violating dimension-six operators to investigate the associated two-dimensional properties in the context of quantum vacuum fluctuation effects, namely, the Casimir effect. Upon projecting out the 4D theory down to a 2D theory we obtain analogs of these operators leading to a modified dispersion relation in a Lorentz invariance violation (LIV) scalar model equivalent to the electromagnetic theory. By making use of the modified dispersion relation, we derive exact analytic expressions for the Casimir energy and force induced by imposing Dirichlet boundary conditions on the scalar field. In the regime where the LIV parameter becomes very small, we recover known results for the Casimir energy and force plus correction terms due to the LIV.