2003/09/25 by Pedro Fonseca, P. Fonseca, Fonseca, P. +3 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Condensed Matter (cond-mat) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum many-body systems #Theoretical and Computational Physics #cond-mat #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0309228
28 pages, 4 figures, uses harvmac
arxiv created 2003/09/25 · openalex publication_date 2003/09/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that the celebrated Painleve equations for the Ising correlation functions follow in a simple way from the Ward Identities associated with local Integrals of Motion of the doubled Ising field theory. We use these Ward Identities to derive the equations determining the matrix elements of the product σ(x)σ(x') between any particle states. The result is then applied in evaluating the leading mass corrections in the Ising field theory perturbed by an external magnetic field.