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We study the scaling properties of the entanglement entropy (EE) near quantum critical points in interacting random antiferromagnetic (AF) spin chains. Using density-matrix renormalization group, we compute the half-chain EE near the…

Disordered Systems and Neural Networks · Physics 2024-03-05 Prashant Kumar , R. N. Bhatt

We analytically calculate higher order corrections to coefficient functions of the operator product expansion (OPE) for the Euclidean correlator of two energy-momentum tensors in massless QCD. These are the three-loop contribution to the…

High Energy Physics - Phenomenology · Physics 2015-06-11 M. F. Zoller , K. G. Chetyrkin

A generalization of the operator product expansion for Euclidean correlators of gauge invariant QCD currents is presented. Each contribution to the modified expansion, which is based on a delocalized multipole expansion of a perturbatively…

High Energy Physics - Phenomenology · Physics 2017-08-23 Ralf Hofmann

The fusion rules and operator product expansion (OPE) serve as crucial tools in the study of operator algebras within conformal field theory (CFT). Building upon the vision of using entanglement to explore the connections between fusion…

High Energy Physics - Theory · Physics 2024-07-02 Song He , Yu-Xuan Zhang , Long Zhao , Zi-Xuan Zhao

In this contribution to the Proceedings of the US Community Study on the Future of Particle Physics (Snowmass 2021) we review recent progress in the evaluation and application of the Energy-Energy Correlator (EEC) event shape observable in…

High Energy Physics - Phenomenology · Physics 2022-03-15 Duff Neill , Gherardo Vita , Ivan Vitev , Hua Xing Zhu

Quantum Chromodynamics (QCD) is a remarkably rich theory exhibiting numerous emergent degrees of freedom, from flux tubes to hadrons. Their description in terms of the underlying quarks and gluons of the QCD Lagrangian remains a central…

The energy-energy correlation (EEC) in electron-positron annihilation plays a crucial role in precision tests of quantum chromodynamics (QCD) and measurements of the QCD coupling constant. In this paper, we provide a novel analysis for the…

High Energy Physics - Phenomenology · Physics 2026-04-14 Zhu-Yu Ren , Sheng-Quan Wang , Jian-Ming Shen , Xing-Gang Wu , Leonardo Di Giustino , Philip G. Ratcliffe , Stanley J. Brodsky

We derive exact expressions for the local entanglement entropy E in the ground state of the one-dimensional Hubbard model at a quantum phase transition driven by a change in magnetic field h or chemical potential u. The leading divergences…

Strongly Correlated Electrons · Physics 2009-11-11 Daniel Larsson , Henrik Johannesson

The valence Fock-state wavefunctions of the light-front QCD Hamiltonian satisfy a relativistic equation of motion with an effective confining potential $U$ which systematically incorporates the effects of higher quark and gluon Fock states.…

High Energy Physics - Phenomenology · Physics 2015-06-23 Stanley J. Brodsky , Guy F. de Téramond , Alexandre Deur , Hans Günter Dosch

Recently, tight-binding models on hyperbolic lattices (discretized AdS space) have gained significant attention, leading to hyperbolic band theory and non-Abelian Bloch states. In this paper, we investigate these quantum systems from the…

Mesoscale and Nanoscale Physics · Physics 2025-05-01 Xiang-You Huang , Yao Zhou , Peng Ye

We study the one-point energy correlator (OPEC) at both the back-to-back and collinear limits in electron-proton and electron-nucleus collisions. We provide the factorization formalism for the two types of OPEC and present phenomenological…

High Energy Physics - Phenomenology · Physics 2025-12-19 Yu Fu , Zhong-Bo Kang , Jani Penttala , Yiyu Zhou

We investigate the energy-energy correlator (EEC) of hadrons produced on the same side in $e^+e^-$ annihilation or in leading jets in $pp$ collisions. We observe a remarkable universality of the correlator. Using a non-perturbative…

High Energy Physics - Phenomenology · Physics 2024-10-29 Xiaohui Liu , Werner Vogelsang , Feng Yuan , Hua Xing Zhu

The QCD running coupling $\alpha_s(Q^2)$ sets the strength of the interactions of quarks and gluons as a function of the momentum transfer $Q$. The $Q^2$ dependence of the coupling is required to describe hadronic interactions at both large…

High Energy Physics - Phenomenology · Physics 2017-04-07 A. Deur , S. J. Brodsky , G. F. de Teramond

We study the influence of short-range electron-electron interactions on scaling behavior near the integer quantum Hall plateau transitions. Short-range interactions are known to be irrelevant at the renormalization group fixed point which…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Ziqiang Wang , Matthew P. A. Fisher , S. M. Girvin , J. T. Chalker

We study the transverse spin structure of the squeezed limit of the three-point energy correlator, $\langle \mathcal{E}(\vec n_1) \mathcal{E}(\vec n_2) \mathcal{E}(\vec n_3) \rangle$. To describe its all orders perturbative behavior, we…

High Energy Physics - Phenomenology · Physics 2022-09-07 Hao Chen , Ian Moult , Hua Xing Zhu

In this letter, we discuss certain universal predictions of the large charge expansion in conformal field theories with $U(1)$ symmetry, mainly focusing on four-dimensional theories. We show that, while in three dimensions quantum…

High Energy Physics - Theory · Physics 2020-12-15 Gabriel Cuomo

Fragmentation of heavy quarks into heavy-flavoured hadrons receives both perturbative and non-perturbative contributions. We consider perturbative QCD corrections to heavy quark production in $e^+e^-$ collisions to next-to-next-to-leading…

High Energy Physics - Phenomenology · Physics 2024-06-12 Leonardo Bonino , Matteo Cacciari , Giovanni Stagnitto

Results are presented for a two-point correlation function of a spin-chain after a quantum quench for an intermediate time regime where inelastic effects are weak. A Callan-Symanzik like equation for the correlation function is explicitly…

Strongly Correlated Electrons · Physics 2015-06-15 Aditi Mitra

The chaotic mixing by random two-body interactions of many-electron Fock states in a confined geometry is investigated numerically and compared with analytical predictions. Two distinct regimes are found in the dependence of the inverse…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 X. Leyronas , P. G. Silvestrov , C. W. J. Beenakker

In this paper we have considered the 3D Ising model perturbed with the energy operator coupled with a non uniform harmonic potential acting as a trap, showing that this system satisfies the trap-size scaling behavior. Eventually, we have…

High Energy Physics - Theory · Physics 2020-08-26 Andrea Amoretti , Gianluca Costagliola , Nicodemo Magnoli , Marcello Scanavino