论文标题
$φ^4_3 $通过Girsanov的定理测量
The $Φ^4_3$ measure via Girsanov's theorem
论文作者
论文摘要
我们在周期性的三维框上构建$φ^4_3 $测量，作为Gaussian自由场随机移动的绝对连续扰动。移位度量是通过Girsanov定理构建的，相关的过滤是刻度参数生成的过滤。作为副产品，我们给出了一个独立的证据，证明$φ^4_3 $度量为单数WRT。高斯免费场。
We construct the $Φ^4_3$ measure on a periodic three dimensional box as an absolutely continuous perturbation of a random shift of the Gaussian free field. The shifted measure is constructed via Girsanov's theorem and the relevant filtration is the one generated by a scale parameter. As a byproduct we give a self-contained proof that the $Φ^4_3$ measure is singular wrt. the Gaussian free field.
