8 papers
Deconfinement For Lattice Yang-Mills at Strong Coupling
Ron Nissim
We make rigorous the physics prediction that lattice Yang-Mills theories with gauge groups which have trivial centers do not satisfy Wilson's criterion for quark confinement. Speci…
Formalization of QFT
Michael R. Douglas, Sarah Hoback, Anna Mei +1
A foundational result in constructive quantum field theory is the construction of the free bosonic quantum field theory in four-dimensional Euclidean spacetime and the proof that i…
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…
On the Limit of the Tridiagonal Model for -Dyson Brownian Motion
Alan Edelman, Sungwoo Jeong, Ron Nissim
In previous work, a description of the result of applying the Householder tridiagonalization algorithm to a GE random matrix is provided by Edelman and Dumitriu. The resulting t…
Geometric Derivation of the Finite Master Loop Equation
Omar Abdelghani, Ron Nissim
In this paper we provide a geometric derivation of the master loop equation for the lattice Yang-Mills model with structure group . This approach is ba…