论文标题
自由klein-gordon方程的单粒子量子力学与洛伦兹违规
Single-Particle Quantum Mechanics of the Free Klein-Gordon Equation with Lorentz Violation
论文作者
论文摘要
尽管它与相互作用有问题，但首次量化的klein-gordon方程是一种令人满意的无旋转粒子的理论。此外，通常会扩展通常的理论来描述洛伦兹的侵入性行为，这些行为可以在第二量化标量场理论中存在相同类型。但是，由于该理论的构建需要限制正能量模式，因此希尔伯特空间内部产品和位置操作员明确取决于洛伦兹违规的形式。
In spite of its problems with interactions, the first-quantized Klein-Gordon equation is a satisfactory theory of free spinless particles. Moreover, the usual theory may be extended to describe Lorentz-violating behavior, of the same types that exist can in second-quantized scalar field theories. However, because the construction of the theory requires a restriction to positive-energy modes, the Hilbert space inner product and the position operator depend explicitly on the form of the Lorentz violation.
