We study the metal-insulator transition and magnetic ordering in the Hubbard model using the particle-hole mapping. The analysis simplifies near the ferromagnetic limit. We find that the two dimensional(2D) Hubbard model has a charge excitation gap at half-filling for any finite U in this region on both the bipartite square lattice and the nonbipartite triangular lattice. In some cases, the sys...

Optical absorption and single–particle excitations in the 2D Holstein t–J model Abstract To discuss the interplay of electronic and lattice degrees of freedom in systems with strong Coulomb correlations we have performed an extensive numerical study of the two–dimensional Holstein t–J model. The model describes the interaction of holes, doped in a quantum antiferromagnet, with a dispersionsless...

This paper is about three problems raised by Bjarni Jónsson and their influence on the development and direction of lattice theory. In lattice theory, like most fields, certain problems have played an important role in its development. R. P. Dilworth’s solutions of some of the most difficult problems of the thirties certainly raised the level of lattice theory. His result [17] that every lattic...

Lepage and Mackenzie have shown that tadpole renormalization and systematic improvement of lattice perturbation theory can lead to much improved numerical results in lattice gauge theory. It is shown that lattice perturbation theory using the Cayley parametrization of unitary matrices gives a simple analytical approach to tadpole renormalization, and that the Cayley parametrization gives lattic...

A notion of simulation of one datatype by another is deened as a constructive preorder. A calculus of datatype simulation is then developed by formulating constructive versions of least-xed-point theorems in lattice theory. The calculus is applied to the construction of several isomorphisms between classes of datatypes. In particular constructive adaptations of theorems in lattice theory about ...

We give a Hamiltonian analysis of the asymptotically flat spherically symmetric system of gravity coupled to a scalar field. This 1+1 dimensional field theory may be viewed as the ”standard model” for studying black hole physics. Our analysis is adapted to the flat slice Painleve-Gullstrand coordinates. We give a Hamiltonian action principle for this system, which yields an asymptotic mass form...

The bulk gauge fields on 5d AdS black hole are discussed. We construct the bulk (and the corresponding brane) gauge propagator when black hole has large radius. The properties of gauge and ghost propagators are studied in both, minkowski or euclidean signature. In euclidean formulation the propagator structure corresponds to the one of theory at finite temperature (which depends on coordinates)...

Title of dissertation: VACUUM ENTANGLEMENT AND BLACK HOLE ENTROPY OF GAUGE FIELDS William Donnelly, Doctor of Philosophy, 2012 Dissertation directed by: Professor Theodore Jacobson Department of Physics Black holes in general relativity carry an entropy whose value is given by the Bekenstein-Hawking formula, but whose statistical origin remains obscure. Such horizons also possess an entanglemen...

We study the dissipative dynamics of a periodically driven inhomogeneous critical lattice model in one dimension. The closed system starting from pure initial states is well-described by Conformal Field Theory (CFT), which predicts existence both heating and non-heating phases such systems. Heating manifested via emergence black-hole like horizons system. robustness this CFT phenomenology when ...