论文标题
磁场中洛伦兹侵略标量的casimir效应
Casimir effect of a Lorentz-violating scalar in magnetic field
论文作者
论文摘要
在本文中，我研究了由带电和巨大的标量场引起的Casimir效应，该效应以cpt-e-eether样方式破坏了洛伦兹的不变性。我研究了一个满足一对非常大的平面平行板上dirichlet或混合（dirichlet-neumann）边界条件的标量场的情况。 Neumann边界条件的情况很简单，不会详细检查。我使用$ζ$ - 功能正则化技术来研究恒定磁场的效果，即与板正交，对Casimir能量和压力的效果。我调查了lorentz不对称的案例，一种沿板块垂直于板的方向的空间状洛伦兹的不对称性，以及在板平面上的间隔不对称性，在所有这些情况下，在所有这些情况下，在Zeta的功能和强度范围范围内的Zeta功能和压力范围较大的范围和较大的量表范围内的Zeta功能和压力。我发现Casimir的能量和压力及其磁校正都在很大程度上取决于实现Lorentz对称性破裂的单位矢量的方向。
In this paper I study the Casimir effect caused by a charged and massive scalar field that breaks Lorentz invariance in a CPT-even, aether-like manner. I investigate the case of a scalar field that satisfies Dirichlet or mixed (Dirichlet-Neumann) boundary conditions on a pair of very large plane parallel plates. The case of Neumann boundary conditions is straightforward and will not be examined in detail. I use the $ζ$-function regularization technique to study the effect of a constant magnetic field, orthogonal to the plates, on the Casimir energy and pressure. I investigate the cases of a timelike Lorentz asymmetry, a spacelike Lorentz asymmetry in the direction perpendicular to the plates, and a spacelike asymmetry in the plane of the plates and, in all those cases, derive simple analytic expressions for the zeta function, Casimir energy and pressure in the limits of small plate distance, strong magnetic field and large scalar field mass. I discover that the Casimir energy and pressure, and their magnetic corrections, all strongly depend on the direction of the unit vector that implements the breaking of the Lorentz symmetry.
