21 citations · 43 across the 7 of their papers we have counts for
8 papers
Random surfaces and lattice Yang-Mills
Sky Cao, Minjae Park, Scott Sheffield
We study Wilson loop expectations in lattice Yang-Mills models with a compact Lie group . Using tools recently introduced in a companion paper, we provide alternate derivations,…
A para-controlled approach to the stochastic Yang-Mills equation in two dimensions
Bjoern Bringmann, Sky Cao
We consider the stochastic Yang-Mills heat equation on the two-dimensional torus. Using regularity structures, Chandra, Chevyrev, Hairer, and Shen previously proved both the local…
Correlation decay for finite lattice gauge theories at weak coupling
Arka Adhikari, Sky Cao
In the setting of lattice gauge theories with finite (possibly non-Abelian) gauge groups at weak coupling, we prove exponential decay of correlations for a wide class of gauge inva…
A state space for 3D Euclidean Yang-Mills theories
Sky Cao, Sourav Chatterjee
It is believed that Euclidean Yang-Mills theories behave like the massless Gaussian free field (GFF) at short distances. This makes it impossible to define the main observables for…
The Yang-Mills heat flow with random distributional initial data
Sky Cao, Sourav Chatterjee
We construct local solutions to the Yang-Mills heat flow (in the DeTurck gauge) for a certain class of random distributional initial data, which includes the 3D Gaussian free field…
Correlations with tailored extremal properties
Sky Cao, Peter J. Bickel
Recently, Chatterjee has introduced a new coefficient of correlation which has several natural properties. In particular, the coefficient attains its maximal value if and only if o…
Wilson loop expectations in lattice gauge theories with finite gauge groups
Sky Cao
Wilson loop expectations at weak coupling are computed to first order, for four dimensional lattice gauge theories with finite gauge groups which satisfy some mild additional condi…
Central limit theorems for combinatorial optimization problems on sparse Erdős-Rényi graphs
Sky Cao
For random combinatorial optimization problems, there has been much progress in establishing laws of large numbers and computing limiting constants for the optimal value of various…