Finite-Size Effects in Disordered Lambda-Phi^(4) Model

R. Acosta Diaz, N. F. Svaiter

Published 2015-10-07Version 1

We discuss finite-size effects in one disordered {\lambda}{\phi}^{4} model defined in a d-dimensional Euclidean space. We consider that the scalar field is coupled with a quenched random field. We study the system at zero temperature defined in a space with periodic boundary conditions in one space dimension. In order to obtain the average value of the free energy of the system we use the replica method. We discuss finite-size effects in the one-loop approximation in d = 3 and d = 4. We show that in both cases there are critical lengths where the system develop a zero temperature phase transition. In this case the system presents long-range correlations with power law decay, characterizing a quantum critical point.