Self avoiding walk and supersymmetry

G. Parisi , N. Sourlas

We discuss the phase transition of a self-avoiding chain in the mean field approximation. We find convenient to introduce anticommuting variables (instead of using the more conventional n → 0 limit) in which case a supersymmetry naturally appears. The supersymmetry breaks down spontaneously at the phase transition.

Mots clés: lattice theory and statistics; random processes; supersymmetry; phase transition; mean field approximation; anticommuting variables; self avoiding walk; self avoiding chain; spontaneous supersymmetry breakdown

Domaines: Articles anciens

G. Parisi, N. Sourlas. Self avoiding walk and supersymmetry. Journal de Physique Lettres, 1980, 41 (17), pp.403-405. ⟨10.1051/jphyslet:019800041017040300⟩. ⟨jpa-00231808⟩