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We investigate the percolation properties of a planar reinforced network model. In this model, at every time step, every vertex chooses $k \ge 1$ incident edges, whose weight is then increased by 1. The choice of this $k$-tuple occurs…

概率论 · 数学 2024-07-18 Gideon Amir , Markus Heydenreich , Christian Hirsch

We consider $\phi^3$ theory in $6-2\epsilon$ with $F_4$ global symmetry. The beta function is calculated up to 3 loops, and a stable unitary IR fixed point is observed. The anomalous dimensions of operators quadratic or cubic in $\phi$ are…

高能物理 - 理论 · 物理学 2016-12-20 Yi Pang , Junchen Rong , Ning Su

We apply the optimization procedure based on the Principle of Minimal Sensitivity to the third-order calculation of $R_{\tau}$. Since the effective couplant remains finite, freezing to a value $\alpha_s/\pi = 0.26$ at low energies, we can…

高能物理 - 唯象学 · 物理学 2009-09-25 A. C. Mattingly

We study the polarization of inclusive J/$\psi$ produced in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}}=5.02$ TeV at the LHC in the dimuon channel, via the measurement of the angular distribution of its decay products. We perform the study in…

核实验 · 物理学 2023-10-03 ALICE Collaboration

Both three- and one-dimensional studies of local multiplicity fluctuations in hadronic Z decay are performed using data of the L3 experiment at LEP. The normalized factorial moments in three dimensions exhibit power-law scaling, indicating…

高能物理 - 唯象学 · 物理学 2017-08-23 Gang Chen , Yuan Hu , Lianshou Liu , W. Kittel , W. J. Metzger

Geometric representations provide a useful perspective on critical phenomena in the Ising model. In a recent study [Phys. Rev. E 112, 034118 (2025)], we found that the two-dimensional critical Ising model exhibits two consecutive…

统计力学 · 物理学 2026-04-08 Jinhong Zhu , Tao Chen , Zhiyi Li , Sheng Fang , Youjin Deng

Two point correlation functions of the off-critical primary fields \phi_{1, 1+s} are considered in the perturbed minimal models M_{2, 2N+3} + \phi_{1,3}. They are given as infinite series of form factor contributions. The form factors of…

高能物理 - 理论 · 物理学 2008-11-26 Takeshi Oota

Site percolation in a distorted simple cubic lattice is characterized numerically employing the Newman-Ziff algorithm. Distortion is administered in the lattice by systematically and randomly dislocating its sites from their regular…

统计力学 · 物理学 2022-09-12 Sayantan Mitra , Dipa Saha , Ankur Sensharma

We analyze three jet production in the central-forward and forward rapidity regions in proton-proton and proton-lead collisions at LHC energies. Our calculation relies on high-energy factorization with a single off-shell gluon obeying small…

高能物理 - 唯象学 · 物理学 2014-07-11 Andreas van Hameren , Piotr Kotko , Krzysztof Kutak

We study the clustering of galaxies in real and redshift space using the Optical Redshift Survey (ORS). We estimate the two point correlation function in redshift space, $\xi(s)$, for several subsamples of ORS, spanning nearly a factor of…

The three-point current correlation function in Euclidean spacetime for a strongly coupled system with non-Abelian global symmetry, $\langle J^a_i(x)J^b_j(y)J^c_k(z)\rangle$, is calculated from the weakly coupled AdS dual. The contribution…

高能物理 - 理论 · 物理学 2015-06-17 Kassahun Betre

We present a simple and consistent way to compute correlation functions in interacting theories with non-trivial phase diagram. As an example we show how to consistently compute the four-point function in three dimensional…

高能物理 - 理论 · 物理学 2016-07-13 Alessandro Codello , Alberto Tonero

We consider an exclusion process on a ring in which a particle hops to an empty neighbouring site with a rate that depends on the number of vacancies $n$ in front of it. In the steady state, using the well known mapping of this model to the…

统计力学 · 物理学 2014-12-30 Priyanka , Arvind Ayyer , Kavita Jain

We show that the uniqueness thresholds for Poisson-Voronoi percolation in symmetric spaces of connected higher rank semisimple Lie groups with property (T) converge to zero in the low-intensity limit. This phenomenon is fundamentally…

概率论 · 数学 2025-04-04 Jan Grebík , Konstantin Recke

We consider percolation on the Voronoi tessellation generated by a homogeneous Poisson point process on the hyperbolic plane. We show that the critical probability for the existence of an infinite cluster is asymptotically equal to $\pi…

概率论 · 数学 2023-02-17 Benjamin T. Hansen , Tobias Müller

We obtain the planar correlation function of four half-BPS operators of arbitrary weights, up to three loops. Our method exploits only elementary properties of the integrand of the planar correlator, such as its symmetries and singularity…

高能物理 - 理论 · 物理学 2016-08-24 Dmitry Chicherin , James Drummond , Paul Heslop , Emery Sokatchev

We study single-particle inclusive (1PI) distributions in top-quark pair production at hadron colliders, working in the highly boosted regime where the top-quark p_T is much larger than its mass. In particular, we derive a novel…

高能物理 - 唯象学 · 物理学 2014-01-21 Andrea Ferroglia , Simone Marzani , Ben D. Pecjak , Li Lin Yang

In recent years, important progress has been made in the field of two-dimensional statistical physics. One of the most striking achievements is the proof of the Cardy-Smirnov formula. This theorem, together with the introduction of…

概率论 · 数学 2013-06-10 Vincent Beffara , Hugo Duminil-Copin

In this paper we implement a numerical algorithm to compute codimension-one tori in three-dimensional, volume-preserving maps. A torus is defined by its conjugacy to rigid rotation, which is in turn given by its Fourier series. The…

混沌动力学 · 物理学 2013-10-01 Adam M. Fox , James D. Meiss

We compute analytically and in closed form the four-point correlation function in the plane, and the two-point correlation function in the upper half-plane, of layering vertex operators in the two dimensional conformally invariant system…

数学物理 · 物理学 2020-08-26 Federico Camia , Valentino F. Foit , Alberto Gandolfi , Matthew Kleban