3 papers
math.PR2025
Dynamical approach to area law for lattice Yang-Mills
Sky Cao, Ron Nissim, Scott Sheffield
In this note, we observe that the dynamical approach to lattice Yang-Mills set forth in [SZZ23] may also be applied to prove Wilson's area law in the 't Hooft regime of parameters.…
math.PR2025
Expanded regimes of area law for lattice Yang-Mills theories
Sky Cao, Ron Nissim, Scott Sheffield
We extend the parameter regimes for which area law is proven for pure lattice Yang-Mills theories, in particular when is large. This improves on a classical res…
math.PR2024
Fractional Gaussian forms and gauge theory: an overview
Sky Cao, Scott Sheffield
Fractional Gaussian fields are scalar-valued random functions or generalized functions on an -dimensional manifold , indexed by a parameter . They include white noise ($s…