CERN Lattice Coffee

Jesse Stryker, " Loop, String, and Hadron Dynamics in SU(2) Hamiltonian Lattice Gauge Theories"

Zoom (CERN)




We present a reformulation of an SU(2) Hamiltonian lattice gauge theory---a loop-string-hadron (LSH) formulation---that characterizes dynamics directly in terms of its loop, string, and hadronic degrees of freedom, while alleviating several disadvantages of quantumly simulating the Kogut-Susskind formulation. This LSH formulation, derived from Schwinger bosons, transcends the local loop formulation of (d+1)-dimensional lattice gauge theories by incorporating staggered quarks, furnishing an algebra of gauge-singlet operators, and succinctly encoding the dynamics among states having Gauss’s law built in to them. LSH operators are factored into explicit products of "normalized'' ladder operators and diagonal matrices, priming them for applications in classical or quantum algorithms. Self-contained translations of the Hamiltonian are given up to d=3.