Universal Properties of Self-avoiding Walks from Two-dimensional Field Theory

@inproceedings{Cardy1993UniversalPO,
  title={Universal Properties of Self-avoiding Walks from Two-dimensional Field Theory},
  author={John L. Cardy},
  year={1993}
}
ABSTRACT: We use the recently conjectured exact S-matrix of the massive O(n) model to derive its form factors and ground state energy. This information is then used in the limit n → 0 to obtain quantitative results for various universal properties of selfavoiding chains and loops. In particular, we give the first theoretical prediction of the amplitude ratio C/D which relates the mean square end-to-end distance of chains to the mean square radius of gyration of closed loops. This agrees with… CONTINUE READING