Monte-carlo Simulation of Pure U(n) and Su(n) Latfice Gauge Theories with Fundamental and Adjoint Couplings

Title ofprogram: SUUNFA theories, QED and QCD models, non-perturbative effects, phase transitions, confining and deconfining phases, quark theory, Catalogue number: AAOT statistical mechanical analogies, action per plaquette, Metropolis algorithm, Monte Carlo techniques Program available from: CPC Program Library, Queen’s University of Belfast, N. Ireland (see application form in this issue) Nature of the physical problem The program simulates thermal equilibrium for U(N) and Computer: CDC 6600, CDC 7600; Installation: University of SU(N) lattice gauge theories with couplings in both the fundaLondon Computer Centre mental and adjoint representations. Gauge theories on a lattice were originally proposed by Wilson [1] and Polyakov 121. Operating system: CDC NOS/BE, SCOPE Method ofsolution Programming language: FORTRAN IV with a few CDC nonA Monte Carlo simulation of the system set up on a lattice of standard features variable dimensionality and lattice size generates a sequence of field configurations on the lattice links. The Metropolis algoHigh speed storage required: 26 K (maximum) rithm [3], originally developed for Monte Carlo simulations in statistical mechanics, is used to generate statistical equilibrium. Number of bits in a word: 60 New configurations are generated link by link and convergence to equilibrium is accelerated by performing the Metropolis Peripherals used: card reader, line printer algorithm NTMAX times on a given link before passing to the next link. The matrix for a given link is updated using a table Number of cards in combinedprogram and test deck: 852 of matrices of the correct group symmetry. The program permits the choice of a cold (ordered) or hot (disordered) start. Cardpunching code: CDC Restriction on the complexity of the program