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The problem of the restoring of the equivalence between Light-Front (LF) Hamiltonian and conventional Lorentz-covariant formulations of gauge theory is solved for QED(1+1) and (perturbatively to all orders) for QCD(3+1). For QED(1+1) the LF…

High Energy Physics - Theory · Physics 2009-11-07 S. A. Paston , E. V. Prokhvatilov , V. A. Franke

The transverse broadening of an energetic jet passing through a non-Abelian plasma is believed to be described by the thermal expectation value of a light-cone Wilson loop. In this exploratory study, we measure the light-cone Wilson loop…

High Energy Physics - Phenomenology · Physics 2013-07-12 M. Laine , A. Rothkopf

Wilson lines in gauge theories admit several path integral descriptions. The first one (due to Alekseev-Faddeev-Shatashvili) uses path integrals over coadjoint orbits. The second one (due to Diakonov-Petrov) replaces a 1-dimensional path…

High Energy Physics - Theory · Physics 2015-11-20 Anton Alekseev , Olga Chekeres , Pavel Mnev

We prove factorization and gauge invariance of the twist-3 single-spin-dependent cross section in the leading order perturbative QCD, which was missing in the previous literature. We emphasize that the consistency relation from the Ward…

High Energy Physics - Phenomenology · Physics 2007-06-19 Yuji Koike , Kazuhiro Tanaka

After a brief introduction to the physics of soft gluons in QCD we present a surprising prediction. Dijet production in hadron-hadron collisions provides the paradigm, i.e. h_1 +h_2 \to jj+X. In particular, we look at the case where there…

High Energy Physics - Phenomenology · Physics 2015-05-13 J. R. Forshaw , M. H. Seymour

We present an efficient way to calculate the effect of soft QCD radiation at one loop, which is needed for predictions at next-to-next-to-leading logarithmic accuracy. We use rapidity coordinates and isolate the divergences in the…

High Energy Physics - Phenomenology · Physics 2016-04-20 Tomas Kasemets , Wouter J. Waalewijn , Lisa Zeune

Wilson loops with lightlike polygonal contours have been conjectured to be equivalent to MHV scattering amplitudes in N=4 super Yang-Mills. We compute such Wilson loops for special polygonal contours at two loops in perturbation theory.…

High Energy Physics - Theory · Physics 2010-06-29 Andreas Brandhuber , Paul Heslop , Valentin V. Khoze , Gabriele Travaglini

We study a coupling flow of pure QCD gauge system by using the Monte Carlo Renormalization Group method. A rough location of the renormalized trajectory in two coupling space is obtained. Also we compare 4 different actions; (a)standard…

We present splitting functions in the triple collinear limit at next-to-leading order in the strong coupling. We performed the computation in the context of massless QCD+QED, and consider first collinear processes which include at least one…

High Energy Physics - Phenomenology · Physics 2015-10-16 German F. R. Sborlini , Daniel de Florian , German Rodrigo

Soft interactions with high-energy jets are explored in radial coordinates which exploit the approximately conformal behavior of perturbative gauge theories. In these coordinates, the jets, approximated by Wilson lines, become static…

High Energy Physics - Theory · Physics 2013-05-30 Yang-Ting Chien , Matthew D. Schwartz , David Simmons-Duffin , Iain W. Stewart

We present a computation of the global soft function for single-inclusive hadronic jet production at next-to-next-to-leading order (NNLO) in the strong coupling constant involving four light-like Wilson lines. Our soft function belongs to…

High Energy Physics - Phenomenology · Physics 2021-10-04 Yaroslav Balytskyi , Jianbo Gao

Matrix elements of Wilson-line dressed operators play a central role in the factorization of soft and collinear modes in gauge theories. When expressed using spinor helicity variables, these so-called form factors admit a classification…

High Energy Physics - Phenomenology · Physics 2024-06-07 Timothy Cohen , Marc Riembau

Resummation of the soft gluon radiative corrections for the quark-vector boson vertex is performed within the path-integral (world-line) approach. The leading order expression for the vacuum averaged Wilson integral for an arbitrary gauge…

High Energy Physics - Phenomenology · Physics 2007-05-23 Igor O. Cherednikov

A manifestly gauge invariant continuous renormalization group flow equation is constructed for pure SU(N) gauge theory. The formulation makes sense without gauge fixing and manifestly gauge invariant calculations may thus be carried out.…

High Energy Physics - Theory · Physics 2009-10-31 Tim R. Morris

We determine the complete three-loop QCD soft anomalous dimension for multileg amplitudes involving a single massive coloured particle and any number of massless ones. This is achieved by applying a novel strategy based on a lightcone…

High Energy Physics - Phenomenology · Physics 2025-11-03 Einan Gardi , Zehao Zhu

This is the second paper on hadronic wave functions in the light front formulation. We first consider only confinement effects, using the classical Nambu-Gotto string with massive end points in the light cone gauge. We derive the…

High Energy Physics - Phenomenology · Physics 2022-08-10 Edward Shuryak , Ismail Zahed

We study linear power corrections ${\cal O}(\Lambda_{\rm QCD}/Q)$ to certain collider observables. We present arguments that prove that such corrections cannot appear in observables that are inclusive with respect to QCD radiation, such as…

High Energy Physics - Phenomenology · Physics 2022-06-14 Fabrizio Caola , Silvia Ferrario Ravasio , Giovanni Limatola , Kirill Melnikov , Paolo Nason

We consider the (multi) Splitting function of Wilson loops and MHV gluon scattering S matrix elements in N=4 SYM. At strong coupling, one can utilize the methods of Alday and Maldacena and at weak coupling (one loop) the correspondence to…

High Energy Physics - Theory · Physics 2014-11-18 Zohar Komargodski

We employ a thermodynamic $T$-matrix approach to study Wilson line correlators (WLCs) for a static quark-antiquark pair within the quark-gluon plasma (QGP). By refining earlier determined input parameters, self-consistent $T$-matrix…

High Energy Physics - Theory · Physics 2024-01-09 Zhanduo Tang , Swagato Mukherjee , Peter Petreczky , Ralf Rapp

We describe recent results concerning the behavior of lattice QCD with light dynamical Wilson and Staggered quarks. We show that it is possible to reach regions of parameter space with light pions $m_\pi\approx 0.2/a$ using Wilson fermions.…

High Energy Physics - Lattice · Physics 2016-08-31 Khalil Bitar , Robert G. Edwards , Urs M. Heller , A. D. Kennedy
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