论文标题
巴黎 - 苏拉斯超级重力
Parisi-Sourlas supergravity
论文作者
论文摘要
明显的差异不变的精确重新归一化组需要在某些有效的截止量表$λ$下进行额外的差异紫外线正则化。这激发了“巴黎 - 苏拉斯”超级实力的构建，与仪表理论案例类似，在该案例中，超级方场的旋转统计量错误，因此它们可以在自发对称性破坏后成为Pauli-Villars调节器领域。我们表明，与衡量理论相反，扁平空间周围的自由理论已经不是平凡的，从某种意义上说，已经显示出一些自发的对称性破坏。我们表明，波动的场形成了多个质量矩阵的多重组，这意味着该字段不仅与预期的$ 1/p^2 $相互传播，而且还通过具有改善紫外线属性的繁殖物，即$ 1/p^4 $和$ 1/p^6 $，尽管该动作最大的两个空间时间衍生范围都包含了两种速度。
A manifestly diffeomorphism invariant exact renormalization group requires extra diffeomorphism invariant ultraviolet regularisation at some effective cutoff scale $Λ$. This motivates construction of a `Parisi-Sourlas' supergravity, in analogy with the gauge theory case, where the superpartner fields have the wrong spin-statistics such that they can become Pauli-Villars regulator fields after spontaneous symmetry breaking. We show that in contrast to gauge theory, the free theory around flat space is already non-trivial and in a sense already displays some spontaneous symmetry breaking. We show that the fluctuating fields form multiplets whose mass matrices imply that the fields propagate into each other not only with the expected $1/p^2$ but also through propagators with improved ultraviolet properties, namely $1/p^4$ and $1/p^6$, despite the fact that the action contains a maximum of two space-time derivatives.
