25 citations · 79 across the 12 of their papers we have counts for
7 papers · 1 filter
Fermions, quantum gravity and holography in two dimensions
Muhammad Asaduzzaman, Simon Catterall, Abhishek Samlodia
We study a model comprising flavors of Kähler Dirac fermion propagating on a triangulated two dimensional disk which is constrained to have a negative average bulk curvature. D…
Tensor network representation of non-abelian gauge theory coupled to reduced staggered fermions
Muhammad Asaduzzaman, Simon Catterall, Yannick Meurice +2
We show how to construct a tensor network representation of the path integral for reduced staggered fermions coupled to a non-abelian gauge field in two dimensions. The resulting f…
Improved coarse-graining methods on two dimensional tensor networks including fermions
Muhammad Asaduzzaman, Simon Catterall, Yannick Meurice +2
We show how to apply renormalization group algorithms incorporating entanglement filtering methods and a loop optimization to a tensor network which includes Grassmann variables wh…
Quantum Simulation of the N flavor Gross-Neveu Model
Muhammad Asaduzzaman, Simon Catterall, Goksu Can Toga +2
We discuss the use of quantum simulation to study an flavor theory of interacting relativistic fermions in(1+1) dimensions on NISQ era machines. The case of two flavors is part…
Euclidean Dynamical Triangulations Revisited
Muhammad Asaduzzaman, Simon Catterall
We conduct numerical simulations of a model of four dimensional quantum gravity in which the path integral over continuum Euclidean metrics is approximated by a sum over combinator…
Scalar fields on fluctuating hyperbolic geometries
Muhammad Asaduzzaman, Simon Catterall
We present results on the behavior of the boundary-boundary correlation function of scalar fields propagating on discrete two-dimensional random triangulations representing manifol…
Holography for Ising spins on the hyperbolic plane
Muhammad Asaduzzaman, Simon Catterall, Jay Hubisz +2
Motivated by the AdS/CFT correspondence, we use Monte Carlo simulation to investigate the Ising model formulated on tessellations of the two-dimensional hyperbolic disk. We focus i…