1 citations · 2 across the 10 of their papers we have counts for
10 papers
An asymptotic bootstrap method and its applications to Hermitian matrix models
David Berenstein, Paula Garcia Martinez
We propose an asymptotic bootstrap method to evaluate moment integrals that arise in problems related to hermitian matrix models. These are normalized integrals of the form $a_n=\i…
Successes and challenges of using Semidefinite Programming for the study of Spin Chain Hamiltonians
David Berenstein, P. N. Thomas Lloyd
We study semidefinite programming (SDP) methods to analyze spin chain Hamiltonians. We examine the ground state energy, the first excited charged states and ground state correlator…
Spin Chains from large- QCD at strong coupling
David Berenstein, Hiroki Kawai
We study the strong coupling expansion of large QCD in various dimensions, reformulating the Kogut-Susskind Hamiltonian on a square lattice in terms of (constrained) one dimens…
Asymptotic bootstrap for unitary matrix integrals at complex coupling
David Berenstein, João Rodrigues, Victor A. Rodriguez
We apply an asymptotic bootstrap estimate method to the non-perturbative study of unitary matrix integrals. The method combines exact recursion relations with asymptotic control of…
Supersymmetric lattice theories on curved space
David Berenstein, Simon Catterall
We show how to construct Hamiltonian lattice theories with one exact supersymmetry on arbitrary triangulations of curved space in any number of dimensions. Both bosons and fermions…
Trapping, chaos and averaging in bubbling AdS spaces
David Berenstein, Mihailo Čubrović, Vladan Djukić
We discuss chaos and ensemble averaging in 1/2 BPS bubbling spaces of Lin, Lunin and Maldacena (LLM) by studying trapped and escaping null geodesics and estimating their deca…
Goldilocks and the bootstrap
David Berenstein, Victor A. Rodriguez
We study simplified bootstrap problems for probability distributions on the infinite line and the circle. We show that the rapid convergence of the bootstrap method for problems on…
Numerical exploration of the bootstrap in spin chain models
David Berenstein, George Hulsey, P. N. Thomas Lloyd
We analyze the bootstrap approach (a dual optimization method to the variational approach) to one-dimensional spin chains, leveraging semidefinite programming to extract numerical…
Staggered bosons and Kahler-Dirac bosons
David Berenstein, Simon Catterall, P. N. Thomas Lloyd
We describe a novel way to think about bosonic lattice theories in Hamiltonian form where each lattice site has only a half boson degree of freedom. The construction requires a non…
One dimensional Staggered Bosons, Clock models and their non-invertible symmetries
David Berenstein, P. N. Thomas Lloyd
We study systems of staggered boson Hamiltonians in a one dimensional lattice and in particular how the translation symmetry by one unit in these systems is in reality a non-invert…