Bloch waves and color confinement: a new approach for lattice numerical simulations in Landau gauge

Titolo: Bloch waves and color confinement: a new approach for lattice numerical simulations in Landau gauge

Relatore: Attilio Cucchieri (Instituto de Fisica de Sao Carlos, Universitade de Sao Paulo)

Coordinate: martedì 20 giugno, ore 11:30, aula F DFA

Abstract: By exploiting the similarity between Bloch's theorem for electrons in crystalline solids and the problem of Landau gauge-fixing in Yang-Mills theory on a "replicated" lattice, one is able to obtain essentially infinite-volume results from numerical simulations performed on a relatively small lattice.   Applying the method to data from Monte Carlo simulations of pure SU(2) gauge theory in two and three space-time dimensions, we are able to evaluate the Landau-gauge gluon propagator for lattices of linear extent up to sixteen times larger than that of the simulated lattice. The approach is reminiscent of Fisher and Ruelle's construction of the thermodynamic limit in classical statistical mechanics.

Martedì, 20 Giugno, 2017