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We propose that simple neural networks (NNs) trained on crossing symmetry can reconstruct conformal correlators restricted to a line to remarkable accuracy. The input is minimal: an external scaling dimension, a spectral gap, and the value…

High Energy Physics - Theory · Physics 2026-04-22 Kausik Ghosh , Sidhaarth Kumar , Vasilis Niarchos , Andreas Stergiou

We go beyond the approximate series-expansions used in the dispersion theory of finite size atoms. We demonstrate that a correct, and non-perturbative, theory dramatically alters the dispersion selfenergies of atoms. The non-perturbed…

Atomic Physics · Physics 2014-11-25 Priyadarshini Thiyam , C. Persson , I. Brevik , Bo E. Sernelius , Mathias Boström

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

Perturbative expansion in the nonperturbative confining QCD background is formulated. The properly renormalized $\alpha_S(R)$ is shown to be finite at large distances, with the string tension playing the role of an infrared regulator. The…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yu. A. Simonov

The size of non-perturbative corrections to event shape observables is predicted to fall like a power of the inverse centre of mass energy. These power corrections are investigated for different observables from e+e-annihilation and…

High Energy Physics - Phenomenology · Physics 2009-10-30 Daniel Wicke

Non-perturbatively generated effective potentials play an extremely useful and often critical role in string and inflationary model building. These potentials are typically computed by methods that assume the system is in equilibrium. For…

High Energy Physics - Theory · Physics 2020-06-24 Guilherme L. Pimentel , John Stout

Correlations in the distribution of energy produced in collider experiments provide a snapshot of the microscopic dynamics of QCD, and its evolution from asymptotically free quarks and gluons, to confined hadrons. There has recently been…

High Energy Physics - Phenomenology · Physics 2025-12-16 Max Jaarsma , Yibei Li , Ian Moult , Wouter J. Waalewijn , Hua Xing Zhu

The dynamics of quantum fields become nonperturbative when their interactions are probed by a large number of particles. To explore this regime we study correlation functions which involve a large number of fields, focussing on massive…

High Energy Physics - Theory · Physics 2025-11-10 Sebastian Schenk

Within the framework of microscopic thermodynamics, correlations can play a crucial role for energy extraction. Our work sheds light on this connection by demonstrating that entanglement governs the amount of extractable energy in a…

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…

For high energy processes ($M\gg \Lambda_{QCD}$) there are infrared safe hadronic shape variables that have a calculable perturbative expansion in $\alpha_s(M^2)$. However, nonperturbative power suppressed corrections to these variables are…

High Energy Physics - Phenomenology · Physics 2009-10-28 Aneesh V. Manohar , Mark B. Wise

We consider time-dependent perturbations which are relatively bounded with respect to the square root of an unperturbed Hamiltonian operator, and whose commutator with the latter is controlled by the full perturbed Hamiltonian. The…

Mathematical Physics · Physics 2022-06-07 Giovanna Marcelli

We improve the non-relativistic QCD (NRQCD) action by comparing the dispersion relation to that of the continuum through $\mathcal{O}(p^6)$ in perturbation theory. The one-loop matching coefficients of the $\mathcal{O}(p^4)$ kinetic…

High Energy Physics - Lattice · Physics 2019-03-27 Christine T. H. Davies , Judd Harrison , Ciaran Hughes , Ronald R. Horgan , Georg M. von Hippel , Matthew Wingate

In this letter we address issues involved in quarkonium production near the boundaries of phase space. It is shown that higher-order non-perturbative contributions are enhanced in this kinematic region and lead to a breakdown of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. Beneke , I. Z. Rothstein , Mark B. Wise

In two lectures, we overview the renormalon and renormalon-related techniques and their phenomenological applications. We begin with a single renormalon chain which is a well defined and systematic way to specify the character of…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. I. Zakharov

We use the worldline representation for correlation functions together with numerical path integral methods to extract nonperturbative information about the propagator to all orders in the coupling in the quenched limit…

High Energy Physics - Theory · Physics 2019-11-27 Sebastián Franchino-Viñas , Holger Gies

In this contribution to the proceedings, we analyze the transition from perturbative and non- perturbative QCD embedded in the coupling constant. In the study of quark-hadron duality, we suggest that the realization of the latter is related…

High Energy Physics - Phenomenology · Physics 2013-12-04 A. Courtoy

The `renormalon' or `dispersive' method for estimating non-perturbative corrections to QCD observables is reviewed. The corrections are power-suppressed, i.e. of the form $A/Q^p$ where $Q$ is the hard process momentum scale. The renormalon…

High Energy Physics - Phenomenology · Physics 2009-10-30 B. R. Webber

We show that the resummation of large perturbative corrections in QCD leads to ambiguities in high energy cross sections that are suppressed by powers of large momentum scales. These ambiguities are caused by infrared renormalons, which are…

High Energy Physics - Phenomenology · Physics 2014-11-17 G. P. Korchemsky , G. Sterman

This review is aimed to demonstrate the basics and use of formalism of gauge-invariant nonlocal correlators in nonabelian gauge theories. Many phenomenologically interesting nonperturbative aspects of gluodynamics and QCD can be described…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Di Giacomo , H. G. Dosch , V. I. Shevchenko , Yu. A. Simonov