Phase diagram of the three-dimensional Gaussian random field Ising model: A Monte Carlo renormalization-group study

With the help of the replica exchange Monte Carlo method and the improved Monte Carlo renormalization-group scheme, we investigate over a wide area in the phase diagram of the Gaussian random field Ising model on the simple cubic lattice. We found that the phase transition at a weak random field belongs to the same universality class as the zero-temperature phase transition. We also present a possible scenario for the replica symmetry breaking transition.Comment: 4 pages, revtex, 6 figures. Final version to appear in PRB(Brief Report

Gap Equations from Fermionic Constraints on the Light-Front

We investigate how the gap equations are obtained in the light-front formalism within the four-Fermi theories. Instead of the zero-mode constraint, we find that the "fermionic constraints" on nondynamical spinor components are responsible for symmetry breaking. Careful treatment of the infrared divergence is indispensable for obtaining the gap equation.Comment: 7 pages, LaTeX, reduced and modified version of hep-th/960806

Color Glass Condensate in QCD at High Energy

I give a brief review about the color glass condensate, which is the universal form of hadrons and nuclei at high energies.Comment: 4 pages, talk presented at ICHEP2004, Beijing, China, August 2004, minor modificatio