The large-N random phase sine-Gordon model
Service de Physique Théorique de Saclay - F-91191, Gif-sur-Yvette, France
Accepted: 12 December 1995
At large distances and in the low-temperature phase, the quenched correlation functions in the 2d random phase sine-Gordon model have been argued to be of the form: , with . However, renormalization group computations predict , while variational approaches (which are supposed to be exact for models with a large number of components) give B=0 . We introduce a large-N version of the random phase sine-Gordon model. Using non-Abelian bosonization and renormalization group techniques, we show that the correlation functions of our models have the above form but with a coefficient B suppressed by a factor compared to A .
PACS: 05.70.Jk – Critical point phenomena / 64.60.Fr – Equilibrium properties near critical points, critical exponents / 64.70.Pf – Glass transitions
© EDP Sciences, 1996