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Related papers: Non-gaussianity of the critical 3d Ising model

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If the initial quantum state of the primordial perturbations broke rotational invariance, that would be seen as a statistical anisotropy in the angular correlations of the cosmic microwave background radiation (CMBR) temperature…

High Energy Physics - Theory · Physics 2016-12-02 Amjad Ashoorioon , Roberto Casadio , Tomi Koivisto

We study properties of the work distribution of a many-body system driven through a quantum phase transition in finite time. We focus on the non-Gaussianity of the distribution, which we characterize through two quantitative metrics:…

Quantum Physics · Physics 2023-01-13 Krissia Zawadzki , Anthony Kiely , Gabriel T. Landi , Steve Campbell

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…

In statistical physics, it is well established that the liquid-gas (LG) phase transition with divergent critical fluctuations belongs to the Ising universality class. Whether non-equilibrium effects can alter this universal behavior remains…

Statistical Mechanics · Physics 2026-04-07 Shang Gao , Hao Shang , Hao Hu , Yu-Qiang Ma , Qun-Li Lei

We derive the asymptotic behavior of weighted quadratic variations of fractional Brownian motion $B$ with Hurst index $H=1/4$. This completes the only missing case in a very recent work by I. Nourdin, D. Nualart and C. A. Tudor. Moreover,…

Probability · Mathematics 2009-12-14 Ivan Nourdin , Anthony Réveillac

We present an in-depth study of the non-equilibrium statistics of the irreversible work produced during sudden quenches in proximity to the structural linear-zigzag transition of ion Coulomb crystals in 1+1 dimensions. By employing both an…

Quantum Physics · Physics 2017-06-23 F. Cosco , M. Borrelli , P. Silvi , S. Maniscalco , G. De Chiara

This article investigates the generation of non-Gaussianity during inflation. In the context of multi-field inflation, we detail a mechanism that can create significant primordial non-Gaussianities in the adiabatic mode while preserving the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Francis Bernardeau , Jean-Philippe Uzan

We present a field-theoretical treatment of the critical behavior of three-dimensional weakly diluted quenched Ising model. To this end we analyse in a replica limit n=0 5-loop renormalization group functions of the $\phi^4$-theory with…

Condensed Matter · Physics 2016-08-31 R. Folk , Yu. Holovatch , T. Yavors'kii

The $d=2$ critical Ising model is described by an exactly solvable Conformal Field Theory (CFT). The deformation to $d=2+\epsilon$ is a relatively simple system at strong coupling outside of even dimensions. Using novel numerical and…

High Energy Physics - Theory · Physics 2022-05-13 Wenliang Li

The generation of non-gaussianity is studied in a three fluid curvaton model. By utilizing second order perturbation theory we derive general formulae for the large scale temperature fluctuation and non-gaussianity parameter, $f_{NL}$, that…

Astrophysics · Physics 2009-07-30 Tuomas Multamaki , Jani Sainio , Iiro Vilja

We study the distribution of the resistance fluctuations of biased resistor networks in nonequilibrium steady states. The stationary conditions arise from the competition between two stochastic and biased processes of breaking and recovery…

Statistical Mechanics · Physics 2011-02-17 C. Pennetta , E. Alfinito , L. Reggiani , S. Ruffo

The combination of integrability and crossing symmetry has proven to give tight non-perturbative bounds on some planar structure constants in $\mathcal{N}$=4 SYM, particularly in the setup of defect observables built on a Wilson-Maldacena…

High Energy Physics - Theory · Physics 2023-12-20 Andrea Cavaglià , Nikolay Gromov , Michelangelo Preti

We study the crossover between classical and nonclassical critical behaviors. The critical crossover limit is driven by the Ginzburg number G. The corresponding scaling functions are universal with respect to any possible microscopic…

Statistical Mechanics · Physics 2009-10-31 A. Pelissetto , P. Rossi , E. Vicari

We study the conformal bootstrap for a 4-point function of fermions $\langle\psi\psi\psi\psi\rangle$ in 3D. We first introduce an embedding formalism for 3D spinors and compute the conformal blocks appearing in fermion 4-point functions.…

High Energy Physics - Theory · Physics 2016-07-08 Luca Iliesiu , Filip Kos , David Poland , Silviu S. Pufu , David Simmons-Duffin , Ran Yacoby

The non-Gaussian fluctuations of baryon density are sensitive to the presence of the conjectured QCD critical point. Their observational consequences are crucial for the ongoing experimental search for this critical point through the beam…

Nuclear Theory · Physics 2022-04-13 Noriyuki Sogabe , Yi Yin

The fractal dimensions of polymer chains and high-temperature graphs in the Ising model both in three dimension are determined using the conformal bootstrap applied for the continuation of the $O(N)$ models from $N=1$ (Ising model) to $N=0$…

Statistical Mechanics · Physics 2017-02-01 Hirohiko Shimada , Shinobu Hikami

We investigate consistency relations for non-Gaussianity. We provide a model-independent dynamical proof for the consistency relation of 3-point correlation functions from the Hamiltonian and field redefinition. This relation can be applied…

High Energy Physics - Theory · Physics 2009-02-09 Miao Li , Yi Wang

We study active Brownian particles as a paradigm for genuine non-equilibrium phase transitions. Access to the critical point in computer simulations is obstructed by the fact that the density is conserved. We propose a modification of…

Soft Condensed Matter · Physics 2018-09-26 Jonathan Tammo Siebert , Florian Dittrich , Friederike Schmid , Kurt Binder , Thomas Speck , Peter Virnau

A critical point of second order, belonging to the universality class of the 3d Ising model, has recently been advocated as a strong candidate for the critical behaviour (at high temperatures) of QCD with non-zero quark masses. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. G. Antoniou , Y. F. Contoyiannis , F. K. Diakonos

This paper presents and investigates non-Gaussian perturbations for the warm k-inflation model that is driven by pure kinetic energy. The two complementary components of the overall non-Gaussianity are the three-point and four-point…

General Relativity and Quantum Cosmology · Physics 2023-06-28 Chao-Qun Shen , Xiao-Min Zhang , Zhi-Peng Peng , He Liu , Xi-Bin Li , Peng-Cheng Chu