The finite temperature QCD phase transition with domain wall fermions

Results from the Columbia lattice group study of the QCD finite temperature phase transition with dynamical domain wall fermions on $16^3 \times 4$ lattices are presented. These results include an investigation of the U(1) axial symmetry breaking above but close to the transition, the use of zero temperature calculations that set the scale at the transition and preliminary measurements close to the transition.Comment: LATTICE99(hightemp), LaTeX, 3 pages, 3 eps figure

A Coupled-Cluster Formulation of Hamiltonian Lattice Field Theory: The Non-Linear Sigma Model

We apply the coupled cluster method (CCM) to the Hamiltonian version of the latticised O(4) non-linear sigma model. The method, which was initially developed for the accurate description of quantum many-body systems, gives rise to two distinct approximation schemes. These approaches are compared with each other as well as with some other Hamiltonian approaches. Our study of both the ground state and collective excitations leads to indications of a possible chiral phase transition as the lattice spacing is varied.Comment: 44 Pages, 14 figures. Uses Latex2e, graphicx, amstex and geometry package

Spin 3/2 Baryons and Form Factors in AdS/QCD

We study the 5D Rarita-Schwinger fields to describe spin 3/2 baryons in AdS/QCD. We calculate the spectrum of spin 3/2 baryons (Delta resonances) and their form factors, together with meson-baryon couplings from AdS/QCD. The transition form-factors between Delta and nucleon are evaluated. Both pion and rho meson couplings have the same origin in the bulk and hence unified. The numerical values for the meson-baryon transition couplings are consistent with the values obtained from other methods. We also predict the numerical values of some new couplings associated with Delta resonances.Comment: 29 pages, 6 figure