Myers-Pospelov模型中的标量扇区
The scalar sector in the Myers-Pospelov model
摘要：
我们构造了一个微扰展开的标量部门的Myers-Pospelov模型，高达二阶的洛伦兹破坏参数，并考虑到其高阶时间导数字符。这种扩展使我们能够构建一个厄米正定的哈密顿量，它提供了一个正确的量子化的基础。要求修改后的正常频率保持真实，需要在动量的大小|k|中引入上限，这是模型有效特征的表现。自由标量传播，包括相应的修改后的色散关系，也计算到给定的顺序，从而提供了一个起点，考虑辐射校正时，相互作用的介绍。
英文摘要：
We construct a perturbative expansion of the scalar sector in the Myers-Pospelov model, up to second order in the Lorentz violating parameter and taking into account its higher-order time derivative character. This expansion allows us to construct an hermitian positive-definite Hamiltonian which provides a correct basis for quantization. Demanding that the modified normal frequencies remain real requires the introduction of an upper bound in the magnitude |k| of the momentum, which is a manifestation of the effective character of the model. The free scalar propagator, including the corresponding modified dispersion relations, is also calculated to the given order, thus providing the starting point to consider radiative corrections when interactions are introduced.
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