2003/06/30 by M. Caselle, Michele Caselle, Paolo Grinza +5
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat.stat-mech #hep-th
paper · pdf · doi:10.1088/0305-4470/37/4/l01
published as J.Phys.A37:L47-L53,2004 · 8 pages, revised version, references added
arxiv created 2003/12/03 · openalex publication_date 2004/01/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We propose a new class of universal amplitude ratios which involve the first terms of the short distance expansion of the correlators of a statistical model in the vicinity of a critical point. We will describe the critical system with a conformal field theory (UV fixed point) perturbed by an appropriate relevant operator. In two dimensions the exact knowledge of the UV fixed point allows for accurate predictions of the ratios and in many nontrivial integrable perturbations they can even be evaluated exactly. In three-dimensional O ( N ) scalar systems, feasible extensions of some existing results should allow perturbative expansions for the ratios to be obtained. By construction these universal ratios are a perfect tool to explore the short distance properties of the underlying quantum field theory even in regimes where the correlation length and one-point functions are not accessible in experiments or simulations.