107 research outputs found
On the Short Distance Behavior of the Critical Ising Model Perturbed by a Magnetic Field
No full textOn the eigenfunction expansions associated with Fredholm integral equations of the first kind in the presence of noise
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Conformal perturbation theory
No full textStatistical systems near a classical critical point have been intensively studied from both theoretical and experimental points of view. In particular, correlation functions are of relevance in comparing theoretical models with the experimental data of real systems. In order to compute physical quantities near a critical point, one needs to know the model at the critical (conformal) point. In this line, recent progress in the knowledge of conformal field theories, through the conformal bootstrap, gives the hope of getting some interesting results also outside of the critical point. In this paper, we will review and clarify how, starting from the knowledge of the critical correlators, one can calculate in a safe way their behavior outside the critical point. The approach illustrated requires the model to be just scale invariant at the critical point. We will clarify the method by applying it to different kind of perturbations of the 2D Ising model.SCOPUS: ar.jinfo:eu-repo/semantics/publishe
All order I.R. finite expansion for short distance behavior of massless theories perturbed by a relevant operator
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