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We study the factorization of soft and collinear singularities in dimensionally-regularized fixed-angle scattering amplitudes in massless gauge theories. Our factorization is based on replacing the hard massless partons by light-like Wilson…

High Energy Physics - Phenomenology · Physics 2009-03-19 Einan Gardi , Lorenzo Magnea

We present a new approach to extracting continuum quasi distributions from lattice QCD. Quasi distributions are defined by matrix elements of a Wilson-line operator extended in a spatial direction, evaluated between nucleon states at finite…

High Energy Physics - Lattice · Physics 2018-04-18 Christopher Monahan , Kostas Orginos

Proof of factorization of soft and collinear divergences in non-equilibrium QCD may be necessary to study hadronic signatures of quark-gluon plasma at RHIC and LHC. In this paper we prove factorization of soft and collinear divergences in…

High Energy Physics - Phenomenology · Physics 2010-05-28 Gouranga C Nayak

Using Dirac's method for the quantization of constrained systems QED is canonically quantized in the front-form in a gauge which is the light-front analog of the Weyl gauge. From the obtained vacuum wave functional the spatial Wilson loop…

High Energy Physics - Theory · Physics 2017-03-01 Hugo Reinhardt

The high-energy QCD factorization for Deep Inelastic Scattering and for proton-nucleus collisions using Wilson line formalism and factorization in rapidity is discussed. We show that in DIS the factorization in rapidity reduces to the…

High Energy Physics - Phenomenology · Physics 2015-06-11 Giovanni Antonio Chirilli

The physics of the Wilson line leads to new developments in high temperature particle physics. The main tool is the effective action for a given fixed value of the phase of the Wilson line. It furnishes a gauge invariant infrared cut off,…

High Energy Physics - Theory · Physics 2009-09-25 S. Bronoff , G. Dvali , K. Farakos , C. P. Korthals Altes

I demonstrate that the amplitude for high-energy scattering can be factorized as a convolution of the contributions due to fast and slow fields. The fast and slow fields interact by means of Wilson-line operators -- infinite gauge factors…

High Energy Physics - Phenomenology · Physics 2014-11-17 Ian Balitsky

From a detailed analysis of cone-jet cross sections in effective field theory, we obtain novel factorization theorems which separate the physics associated with different energy scales present in such processes. The relevant low-energy…

High Energy Physics - Phenomenology · Physics 2017-05-08 Thomas Becher , Matthias Neubert , Lorena Rothen , Ding Yu Shao

We approach the issue of exponentiation of soft gauge boson corrections to scattering amplitudes from a path integral point of view. We show that if one represents the amplitude as a first quantized path integral in a mixed…

High Energy Physics - Phenomenology · Physics 2009-03-27 E. Laenen , G. Stavenga , C. D. White

We review the state-of-the-art knowledge of IR singularities in multileg QCD amplitudes, identifying the key reasons for the remarkable simplicity of the soft anomalous dimension. We then present a novel strategy to compute this quantity…

High Energy Physics - Phenomenology · Physics 2026-04-22 Einan Gardi , Zehao Zhu

We study the thermodynamics of two-color QCD at high temperature and/or density using a dimensionally reduced superrenormalizable effective theory, formulated in terms of a coarse grained Wilson line. In the absence of quarks, the theory is…

High Energy Physics - Phenomenology · Physics 2012-03-01 Tian Zhang , Tomáš Brauner , Aleksi Kurkela , Aleksi Vuorinen

The proper-time 4d path integral is used as a starting point to derive the new explicit parametric form of the quark-antiquark Green's function in gluonic and QED fields, entering as a common Wilson loop. The subsequent vacuum averaging of…

High Energy Physics - Phenomenology · Physics 2014-01-29 Yu. A. Simonov

Wilson loops which are small deviations from straight, infinite lines, called wavy lines, are considered in the context of the AdS/CFT correspondence. A single wavy line and the connected correlation function of a straight and wavy line are…

High Energy Physics - Theory · Physics 2009-11-10 Gordon W. Semenoff , Donovan Young

In the planar limit of QCD meson correlation functions can be written as a path-integral for a spin-half particle with each path being weighted by the expectation value of the corresponding Super Wilson Loop. An important quantity in this…

High Energy Physics - Theory · Physics 2007-05-23 Vikram Vyas

In this paper, we study phenomenologically interesting soft radiation distributions in massless QCD. Specifically, we consider the emission of two soft partons off of a pair of light-like Wilson lines, in either the fundamental or the…

High Energy Physics - Phenomenology · Physics 2014-12-16 Ye Li , Andreas von Manteuffel , Robert M. Schabinger , Hua Xing Zhu

We study the low-energy limit of Wilson lines (charged impurities) in conformal gauge theories in 2+1 and 3+1 dimensions. As a function of the representation of the Wilson line, certain defect operators can become marginal, leading to…

High Energy Physics - Theory · Physics 2023-04-26 Ofer Aharony , Gabriel Cuomo , Zohar Komargodski , Márk Mezei , Avia Raviv-Moshe

The effects of the soft gluon emission in hard scattering processes at the phase boundary are resummed in the soft-collinear effective theory (SCET). In SCET, the soft gluon emission is decoupled from the energetic collinear part, and is…

High Energy Physics - Phenomenology · Physics 2009-11-10 Junegone Chay , Chul Kim , Yeong Gyun Kim , Jong-Phil Lee

The light-cone Hamiltonian is derived from the general gauge -- and Lorentz -- invariant expression for the $q\bar{q}$ Green's function, containing confinement via the area law for the Wilson loop.The resulting Hamiltonian contains in a…

High Energy Physics - Phenomenology · Physics 2010-11-01 A. Yu. Dubin , A. B. Kaidalov , Yu. A. Simonov

We provide a recursive diagrammatic prescription for the exponentiation of gauge theory amplitudes involving products of Wilson lines and loops. This construction generalizes the concept of webs, originally developed for eikonal form…

High Energy Physics - Phenomenology · Physics 2010-12-21 Alexander Mitov , George Sterman , Ilmo Sung

It is well known that soft singularities of massless amplitudes are significantly simpler than those of massive ones. However, the computation of the soft anomalous dimension (AD) using Wilson-lines correctors is only straightforward in the…

High Energy Physics - Phenomenology · Physics 2025-09-23 Einan Gardi , Zehao Zhu