标题： 在分段常数基本向量场上的法捷耶夫引力作用 显示英文标题

标题： Faddeev gravity action on the piecewise constant fundamental vector fields

摘要： 在Faddeev引力形式中，度规被视为复合场，是$d = 10$四维矢量场的双线性式。 我们通过在由(平坦)四维单形组成的时空上计算Faddeev作用量，导出了minisuperspace（离散）Faddeev作用量。 这是类似于Regge作用量的，通过对由平坦四维单形组成的时空计算Hilbert-Einstein作用量得到的。 这种形式的一个新特点是，单形不需要在其公共面上重合。 此外，可以在这个形式中引入类似Barbero-Immirzi参数$\gamma$。 显示英文摘要

摘要： In the Faddeev formulation of gravity, the metric is regarded as composite field, bilinear of $d = 10$ 4-vector fields. We derive the minisuperspace (discrete) Faddeev action by evaluating the Faddeev action on the spacetime composed of the (flat) 4-simplices with constant 4-vector fields. This is an analog of the Regge action obtained by evaluating the Hilbert-Einstein action on the spacetime composed of the flat 4-simplices. One of the new features of this formulation is that the simplices are not required to coincide on their common faces. Also an analog of the Barbero-Immirzi parameter $\gamma$ can be introduced in this formalism.