Monte Carlo analysis of the 2D chiral SU(2) × SU(2) lattice theory with a spin- 3 2action

Using Monte Carlo simulations, the phase structure of the two-dimensional SU(2)×SU(2) lattice theory with an action defined through the spin- 3 2 representation of the SU(2) matrices has been determined. A second-order phase transitions has been found, like the SO(3)×SO(3) chiral model, in contrast to the equivalent four-dimensional lattice gauge theory with the 3 2 representation action that exhibits a clear first-order transition. © 1986.