4 papers · 1 filter
lattice Yang-Mills in the 't Hooft regime
Ron Nissim
We establish a mass gap, prove the existence of a unique infinite volume limit, and give a new proof of the large limit for lattice Yang-Mills theory in the 't…
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.…
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…
Sharp estimates for large N Weingarten functions
Ron Nissim
Weingarten functions provide a tool for computing Haar measure matrix integrals of polynomials in the matrix entries. An important property of Weingarten functions, is their partic…