The Large N Random Phase sine-Gordon Model

Details The Large N Random Phase sine-Gordon Model The Large N Random Phase sine-Gordon Model

1995-06-21

arxiv.org/abs/hep-th/9506141v1

Europhys.Lett.33:255-259,1996

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, plain latex, no figures

Scientific paper

10.1209/epl/i1996-00329-2

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~: $ \bar {\vev{~[\varphi(x)-\varphi(0)]^2~}}_* = A (\log|x|) + B \ep^2 (\log|x|)^2 $, with $\ep=(T-T_c)$. However, renormalization group computations predict $B\not=0$ 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 $1/N^3$ compared to $A$.

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