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Recently the OPE coefficients of the 3D Ising model universality class have been calculated by studying the two-point functions perturbed from the critical point with a relevant field. We show that this method can be applied also when the…

High Energy Physics - Theory · Physics 2016-04-28 Gianluca Costagliola

We propose a general method for the numerical evaluation of OPE coefficients in three dimensional Conformal Field Theories based on the study of the conformal perturbation of two point functions in the vicinity of the critical point. We…

High Energy Physics - Theory · Physics 2015-03-25 M. Caselle , G. Costagliola , N. Magnoli

We compute observables of the critical 3d Ising model to high precision by applying the numerical conformal bootstrap to mixed correlators of the leading scalar operators $\sigma$ and $\epsilon$, and the stress tensor $T_{\mu\nu}$. We…

We study five-point correlators of the $\sigma$, $\epsilon$, and $\epsilon'$ operators in the critical 3d Ising model. We consider the $\sigma \times \sigma$ and $\sigma \times \epsilon$ operator product expansions (OPEs) and truncate them…

High Energy Physics - Theory · Physics 2025-09-30 David Poland , Valentina Prilepina , Petar Tadić

Thanks to the impressive progress of conformal bootstrap methods we have now very precise estimates of both scaling dimensions and OPE coefficients for several 3D universality classes. We show how to use this information to obtain similarly…

High Energy Physics - Theory · Physics 2016-07-28 Michele Caselle , Gianluca Costagliola , Nicodemo Magnoli

We make precise determinations of the leading scaling dimensions and operator product expansion (OPE) coefficients in the 3d Ising, $O(2)$, and $O(3)$ models from the conformal bootstrap with mixed correlators. We improve on previous…

High Energy Physics - Theory · Physics 2016-08-24 Filip Kos , David Poland , David Simmons-Duffin , Alessandro Vichi

We study the low temperature out of equilibrium Monte Carlo dynamics of the disordered Ising $p$-spin Model with $p=3$ and a small number of spin variables. We focus on sequences of configurations that are stable against single spin flips…

Disordered Systems and Neural Networks · Physics 2020-08-28 Daniel A. Stariolo , Leticia F. Cugliandolo

We use the conformal bootstrap to perform a precision study of the operator spectrum of the critical 3d Ising model. We conjecture that the 3d Ising spectrum minimizes the central charge c in the space of unitary solutions to crossing…

High Energy Physics - Theory · Physics 2014-12-04 Sheer El-Showk , Miguel F. Paulos , David Poland , Slava Rychkov , David Simmons-Duffin , Alessandro Vichi

We study the scaling properties of critical particle systems confined by a potential. Using renormalization-group arguments, we show that their critical behavior can be cast in the form of a trap-size scaling, resembling finite-size scaling…

Statistical Mechanics · Physics 2013-05-29 Massimo Campostrini , Ettore Vicari

Correlation functions of energy flow operators (energy-energy correlators) are one of the simplest observables in quantum field theory and gravity, with diverse applications ranging from real world collider physics to constraining the space…

High Energy Physics - Theory · Physics 2025-12-12 Bianka Meçaj , Ian Moult , Matthew T. Walters , Yuan Xin

In recent years, energy correlators have emerged as a powerful tool to explore the field theoretic structure of strong interactions at particle colliders. In this Letter we initiate a novel study of the non-perturbative power corrections to…

High Energy Physics - Phenomenology · Physics 2025-01-07 Hao Chen , Pier Francesco Monni , Zhen Xu , Hua Xing Zhu

{}From the non-equilibrium critical relaxation study of the two-dimensional Ising model, the dynamical critical exponent $z$ is estimated to be $2.165 \pm 0.010$ for this model. The relaxation in the ordered phase of this model is…

Condensed Matter · Physics 2009-10-22 Nobuyasu Ito

We study five-point correlation functions of scalar operators in d-dimensional conformal field theories. We develop a new approach to computing the five-point conformal blocks for exchanged primary operators of arbitrary spin by introducing…

High Energy Physics - Theory · Physics 2024-03-04 David Poland , Valentina Prilepina , Petar Tadić

We study the dynamic and metastable properties of the fully connected Ising $p$-spin model with finite number of variables. We define trapping energies, trapping times and self correlation functions and we analyse their statistical…

Disordered Systems and Neural Networks · Physics 2019-08-13 D. A. Stariolo , L. F. Cugliandolo

We study the constraints of crossing symmetry and unitarity in general 3D Conformal Field Theories. In doing so we derive new results for conformal blocks appearing in four-point functions of scalars and present an efficient method for…

High Energy Physics - Theory · Physics 2014-12-05 Sheer El-Showk , Miguel F. Paulos , David Poland , Slava Rychkov , David Simmons-Duffin , Alessandro Vichi

We present a new algorithm for the numerical evaluation of five-point conformal blocks in $d$-dimensions, greatly improving the efficiency of their computation. To do this we use an appropriate ansatz for the blocks as a series expansion in…

High Energy Physics - Theory · Physics 2025-07-03 David Poland , Valentina Prilepina , Petar Tadić

We study the spin-spin, spin-energy and energy-energy correlators in the 2d Ising model perturbed by a magnetic field. We compare the results of a set of high precision Montecarlo simulations with the predictions of two different…

High Energy Physics - Theory · Physics 2009-10-31 M. Caselle , P. Grinza , N. Magnoli

Using the Monte Carlo method, we determine the free energy of the interface of the 3D Ising model in the scaling region. By integrating the interface energies over the inverse temperature $\beta$, we obtain estimates for the free energies…

Condensed Matter · Physics 2015-06-25 M. Hasenbusch , K. Pinn

We study the QCD scaling behavior of the small-angle Energy-Energy Correlator (EEC), focusing on the transition between its perturbative pre-confinement and non-perturbative post-confinement regimes. Applying the light-ray Operator Product…

High Energy Physics - Phenomenology · Physics 2025-07-23 Cyuan-Han Chang , Hao Chen , Xiaohui Liu , David Simmons-Duffin , Feng Yuan , Hua Xing Zhu

We consider the Ising model between 2 and 4 dimensions perturbed by quenched disorder in the strength of the interaction between nearby spins. In the interval 2<d<4 this disorder is a relevant perturbation that drives the system to a new…

High Energy Physics - Theory · Physics 2019-10-08 Zohar Komargodski , David Simmons-Duffin
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