| Issue |
Europhys. Lett.
Volume 33, Number 4, February I 1996
|
|
|---|---|---|
| Page(s) | 255 - 260 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i1996-00329-2 | |
| Published online | 01 September 2002 | |
The large-N random phase sine-Gordon model
Service de Physique Théorique de Saclay - F-91191, Gif-sur-Yvette, France
Received:
10
July
1995
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:
![$\overline{\langle [\varphi (x) - \varphi (0)]^2\rangle}_* = A (\log |x| ) + B\epsilon^2 (\log|x|)^2$](/articles/epl/abs/1996/04/4108/4108_tex_eq1.png)
, 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
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