论文标题
对称张量场的理论：从分布量到重力顿群岛和背部
The theory of symmetric tensor field: from fractons to gravitons and back
论文作者
论文摘要
我们考虑在4D中的对称张量场的理论，这是在无穷小差异转换子类下不变的，其中矢量diff参数是标量参数的4差异。所得的量规对称是“ fracton”准粒子的特征，并识别了一种取决于无量纲参数的理论，尽管该理论没有相互作用，但该参数无法通过重新定义的张量场重新定义而重新吸收。这种“电磁量规对称性”的原始差异不变性的意义上是最弱的，因为最通用的动作包含但不限于线性化的重力，并且我们如何表明如何从线性化的引力转变为混合阶段，而混合阶段则是在没有重力和法拉克顿的混合阶段，而无需改变该理论的自由度。规格固定程序特别丰富且相当特殊，并导致繁殖器的计算，在大规模的情况下，我们要求无速旋，从而限制了理论参数的域。最后，通过引入与“繁殖速率”有关的参数进行更紧密的接触。对于此参数的特定价值，理论根本没有传播，我们猜想，因此，由此的理论应与分裂的激发密切相关。
We consider the theory of a symmetric tensor field in 4D, invariant under a subclass of infinitesimal diffeomorphism transformations, where the vector diff parameter is the 4-divergence of a scalar parameter. The resulting gauge symmetry characterizes the "fracton" quasiparticles and identifies a theory which depends on a dimensionless parameter, which cannot be reabsorbed by a redefinition of the tensor field, despite the fact that the theory is free of interactions. This kind of "electromagnetic gauge symmetry" is weaker that the original diffeomorphism invariance, in the sense that the most general action contains, but is not limited to, linearized gravity, and we show how it is possible to switch continuously from linearized gravity to a mixed phase where both gravitons and fractons are present, without changing the degrees of freedom of the theory. The gauge fixing procedure is particularly rich and rather peculiar, and leads to the computation of propagators which in the massive case we ask to be tachyonic-free, thus constraining the domain of the parameter of the theory. Finally, a closer contact to fractons is made by the introduction of a parameter related to the "rate of propagation". For a particular value of this parameter the theory does not propagate at all, and we guess that, for this reason, the resulting theory should be tightly related to the fracton excitations.
