We match the density of energy eigenstates of a local field theory with thatof a random Hamiltonian order by order in a Taylor expansion. In our previouswork we assumed Lorentz symmetry of the field theory, which entered through thedispersion relation. Here we extend that work to consider a generalizeddispersion relation and show that the Lorentz symmetric case is preferred, inthat the Lorentz symmetric dispersion relation gives a better approximation toa random Hamiltonian than the other local dispersion relations we considered.
展开▼
