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In this short note I show that the soft limit for colour-ordered tree-level Yang-Mills amplitudes contains a sub-leading divergent term analogous to terms found recently by Cachazo and Strominger for tree-level gravity amplitudes.

High Energy Physics - Theory · Physics 2015-06-19 Eduardo Casali

We show that the momentum, the density, and the electromagnetic field associated with the massive KleinGordon-Maxwell equations converge in the semi-classical limit towards their respective equivalents associated with the relativistic…

Analysis of PDEs · Mathematics 2026-02-24 Tony Salvi

We revisit the calculation of the medium-induced gluon spectrum in a finite QCD and develop a new approach that goes beyond multiple soft scattering approximation. We show by expanding around the harmonic oscillator that the first two…

High Energy Physics - Phenomenology · Physics 2019-09-04 Yacine Mehtar-Tani

We study the soft limit of one-loop QCD amplitudes and we derive the process-independent factorization formula that controls the singular behaviour in this limit. This is obtained from the customary eikonal factorization formula valid at…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Catani , M. Grazzini

At sub-eikonal order in the high-energy limit, helicity dependences are generally contained in the transverse components of the gluon field. In the gluon saturation regime, novel helicity effects arise from the nonlinear interaction between…

High Energy Physics - Phenomenology · Physics 2024-11-21 Ming Li

We suggest a constrained instanton (CI) solution in the physical QCD vacuum which is described by large-scale vacuum field fluctuations. This solution decays exponentially at large distances. It is stable only if the interaction of the…

High Energy Physics - Phenomenology · Physics 2011-09-13 A. E. Dorokhov , S. V. Esaibegyan , A. E. Maximov , S. V. Mikhailov

We review the phenomenological and theoretical evidences for dynamical gluon mass generation and the main features of the glueball spectrum in (pure gauge) Yang-Mills theories. The mixing between glueball and conventional $\bar q q$ states…

High Energy Physics - Phenomenology · Physics 2011-09-06 Vincent Mathieu

We give the governing equations for multiple scalar fields in a flat Friedmann-Robertson-Walker (FRW) background spacetime on all scales, allowing for metric and field perturbations up to second order. We then derive the Klein-Gordon…

Astrophysics · Physics 2010-10-27 Karim A. Malik

The emission of energetic gluons in $\tt$ production in $\ee$ annihilation can have important experimental consequences, in particular on top quark mass measurements. We present compact, analytical expressions for the gluon energy…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yu. L. Dokshitzer , V. A. Khoze , W. J. Stirling

We find new relations for the non-universal part of the Yang-Mills amplitudes by combining the KLT-relation and the soft behavior of gauge and gravity amplitudes. We also extend the relations to include contributions from effective…

High Energy Physics - Theory · Physics 2020-04-13 Rafael Aoude , Andreas Helset

An unconstrained Hamiltonian formulation of the SU(3) Yang-Mills quantum mechanics of spatially constant fields is given using the method of minimal embedding of SU(2) into SU(3) by Kihlberg and Marnelius. Using a canonical transformation…

High Energy Physics - Theory · Physics 2012-05-27 Hans-Peter Pavel

We study the effect of soft gluon emission in the hadroproduction of gluino-gluino and squark-antisquark pairs at the next-to-leading logarithmic (NLL) accuracy within the framework of the minimal supersymmetric model. We present the…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Kulesza , L. Motyka

We study applications of QCD soft-gluon resummations to electroweak annihilation cross sections. We focus on a formalism that allows to resum logarithmic corrections arising near partonic threshold and at small transverse momentum…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Kulesza , G. Sterman , W. Vogelsang

The infrared structure of SU(2) Yang-Mills theory is studied by means of lattice gauge simulations using a new constrained cooling technique. This method reduces the action while all Polyakov lines on the lattice remain unchanged. In…

High Energy Physics - Lattice · Physics 2015-03-17 Kurt Langfeld , Ernst-Michael Ilgenfritz

We present a strong coupling expansion that permits to develop analysis of quantum field theory in the infrared limit. Application to a quartic massless scalar field gives a massive spectrum and the propagator in this regime. We extend the…

High Energy Physics - Phenomenology · Physics 2009-03-17 Marco Frasca

An impact parameter representation for soft gluon radiation is applied to obtain both the initial decrease of the total cross-section ($\sigma_{tot}$) for proton-proton collisions as well as the later rise of $\sigma_{tot}$ with energy for…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. M. Godbole , A. Grau , G. Pancheri , Y. N. Srivastava

A system of gluon fields generated at the earliest phase of relativistic heavy-ion collisions can be described in terms of classical fields. Numerical simulations show that the system is unstable but a character of the instability is not…

High Energy Physics - Phenomenology · Physics 2022-02-24 Sylwia Bazak , Stanislaw Mrowczynski

Low-energy limit of quantum chromodynamics (QCD) is obtained using a mapping theorem recently proved. This theorem states that, classically, solutions of a massless quartic scalar field theory are approximate solutions of Yang-Mills…

High Energy Physics - Phenomenology · Physics 2010-12-23 Marco Frasca

We calculate the unintegrated gluon distribution at low intrinsic transverse momenta and its parameters are found from the best description of the SPS and LHC data on the $pp$ collision in the soft kinematical region. It allows us to study…

High Energy Physics - Phenomenology · Physics 2015-06-12 G. I. Lykasov , A. A. Grinyuk , V. A. Bednyakov

Methods for revealing the distribution of gluon fields within the three-quark static-baryon potential are presented. In particular, we outline methods for studying the sensitivity of the source on the emerging vacuum response for the…

High Energy Physics - Lattice · Physics 2010-04-30 F. Bissey , F-G. Cao , A. Kitson , B. G. Lasscock , D. B. Leinweber , A. I. Signal , A. G. Williams , J. M. Zanotti