Abstract
The finite lattice method is applied to a quantum hamiltonian system with both gauge and spin degrees of freedom present. We calculate the critical parameters of the Z 2 lattice gauge theory with matter fields in 2 + 1 dimensions. Using the Lanczos diagonalization scheme and renormalization group techniques, we identify first- and second-oreder phase transitions. The accuracy of the method is such that the critical points of the corresponding pure gauge and pure spin models are obtained to within 2% using only 2 × 2 and 3 × 3 site lattices. When both matter and gauge fields are present, we find a phase diagram which agrees qualitatively with the results of previous approximate schemes but differs considerably in its quantitative aspects.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
