标题： 各向异性共形霍拉瓦理论的量化 显示英文标题

标题： Quantization of the anisotropic conformal Horava theory

摘要： 我们对d个空间维中的各向异性共形Horava理论进行了Batalin-Fradkin-Vilkovisky量子化。 我们引入了一个适合任何维度的共形势模型。 我们定义了一个各向异性和局部的规范固定条件，该条件考虑了空间微分同胚和各向异性Weyl变换。 我们表明，BRST变换主要可以表示为沿一个ghost场的空间微分同胚加上一个以另一个ghost场为参数的共形变换。 我们在d=2的情况下研究了量子拉格朗日量，得出所有传播子都是正则的，除了与第二类约束测度相关的场。 这种行为在定性上与非共形情况相同。 显示英文摘要

摘要： We perform the Batalin-Fradkin-Vilkovisky quantization of the anisotropic conformal Horava theory in d spatial dimensions. We introduce a model with a conformal potential suitable for any dimension. We define an anisotropic and local gauge-fixing condition that accounts for the spatial diffeomorphisms and the anisotropic Weyl transformations. We show that the BRST transformations can be expressed mainly in terms of a spatial diffeomorphism along a ghost field plus a conformal transformation with another ghost field as argument. We study the quantum Lagrangian in the d=2 case, obtaining that all propagators are regular, except for the fields associated with the measure of the second-class constraints. This behavior is qualitatively equal to the nonconformal case.