2 research outputs found
Discrete scale invariance, and its logarithmic extension
It is known that discrete scale invariance leads to log-periodic corrections
to scaling. We investigate the correlations of a system with discrete scale
symmetry, discuss in detail possible extension of this symmetry such as
translation and inversion, and find general forms for correlation functions.Comment: 12 pages, LaTe
Quenched Averaged Correlation Functions of the Random Magnets
It is shown that the ratios of the quenched averaged three and four-point
correlation functions of the local energy density operator to the connected
ones in the random-bond Ising model approach asymptotically to some
functions. We derive the explicit expressions of these universal functions.
Moreover it is shown that the individual logarithmic operators have not any
contribution to the connected correlation functions of the disordered Ising
model.Comment: 4 pages, twocolumn, to appear in Nucl. Physics