The O(n) Model in the $n\to 0$ Limit (self-avoiding-walks) and Logarithmic Conformal Field Theory

Details The O(n) Model in the $n\to 0$ Limit (self-avoiding-walks) and Logarithmic Conformal Field Theory The O(n) Model in the $n\to 0$ Limit (self-avoiding-walks) and Logarithmic Conformal Field Theory

2004-09-19

arxiv.org/abs/cond-mat/0409486v1

Nucl.Phys. B707 (2005) 405-420

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages, latex

Scientific paper

10.1016/j.nuclphysb.2004.11.038

We consider the O(n) theory in the $n \to 0$ limit. We show that the theory
is described by logarithmic conformal field theory, and that the correlation
functions have logarithmic singularities. The explicit forms of the two-,
three- and four-point correlation functions of the scaling fields and the
corresponding logarithmic partners are derived.

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