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We compute the quantum corrections to the gluon distribution function in the background of a non--Abelian Weizs\"acker--Williams field. These corrections are valid to all orders in the effective coupling $\alpha_s \mu$, where $\mu^2$…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Ayala , J. Jalilian--Marian , L. Mclerran , R. Venugopalan

We compute the contribution of the gluonic component of the energy-momentum tensor (EMT) to the angular momentum density in various decompositions. We use the light-front Hamiltonian technique, and a two-component formalism in light-front…

High Energy Physics - Phenomenology · Physics 2024-11-28 Asmita Mukherjee , Sudeep Saha , Ravi Singh

We discuss the recent interpretation of quark distribution functions in the plane transverse to the light-cone direction. Such a mapping is model independent and allows one to build multidimensional pictures of the hadron and to develop a…

High Energy Physics - Phenomenology · Physics 2017-08-23 C. Lorcé , B. Pasquini , M. Vanderhaeghen

We calculate the Wigner quasiprobability distribution function of quantum elliptical vortex in elliptical beam (EEV), produced by coupling squeezed coherent states of two modes. The coupling between the two modes is performed by using beam…

Quantum Physics · Physics 2010-12-02 Abir Bandyopadhyay , Ravindra Pratap Singh

A standard method to obtain information on a quantum state is to measure marginal distributions along many different axes in phase space, which forms a basis of quantum state tomography. We theoretically propose and experimentally…

Recently, a semiclassical approach to diffraction has been proposed, which treats the proton as a classical colour field. The present paper demonstrates that this approach is consistent with the concept of diffractive parton distributions.…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Hebecker

We obtain all the leading-twist quark generalized parton distributions (GPDs) inside the proton at nonzero skewness within the basis light-front quantization framework. We employ the light-front wave functions of the proton from a…

High Energy Physics - Phenomenology · Physics 2024-03-12 Yiping Liu , Siqi Xu , Chandan Mondal , Xingbo Zhao , James P. Vary

Parton distributions for the pion are studied in a chiral quark model characterized by a quark propagator for which a spectral representation is assumed. Electromagnetic and chiral symmetry constraints are imposed through the relevant…

High Energy Physics - Phenomenology · Physics 2017-08-23 E. Ruiz Arriola

Propagation of the Wigner function is studied on two levels of semiclassical propagation, one based on the van-Vleck propagator, the other on phase-space path integration. Leading quantum corrections to the classical Liouville propagator…

Quantum Physics · Physics 2007-05-23 Thomas Dittrich , Luis Sandoval , Carlos Viviescas

We formulate a light-front spectator model for the proton incorporating the gluonic degree of freedom. In this model, at high energy scattering of the proton, the active parton is a gluon and the rest is viewed as a spin-$\frac{1}{2}$…

High Energy Physics - Phenomenology · Physics 2023-07-26 Dipankar Chakrabarti , Poonam Choudhary , Bheemsehan Gurjar , Raj Kishore , Tanmay Maji , Chandan Mondal , Asmita Mukherjee

The present note establishes the self-averaging, radiative transfer limit for the two-frequency Wigner distribution for classical waves in random media. Depending on the ratio of the wavelength to the correlation length the limiting…

Optics · Physics 2009-11-13 Albert Fannjiang

We investigate within the formalism of Symplectic Quantum Mechanics a two-dimensional non-relativistic strong interacting system that represents the bound heavy quark-antiquark state, where it was considered a linear potential in the…

High Energy Physics - Theory · Physics 2023-04-24 M. Abu-Shady , Renato R. Luz , G. X. A. Petronilo , R. G. G. Amorim , A. E. Santana

The Wigner function plays a central role in QCD as a phase space object encoding correlations among quarks, antiquarks, and gluons, yet its interpretation remains subtle due to its quasiprobabilistic nature and possible negativity. Recent…

High Energy Physics - Phenomenology · Physics 2026-04-07 Chueng-Ryong Ji , Daniel W. Piasecki

We show that the quantum wavefunction, interpreted as the probability density of finding a single non-localized quantum particle, which evolves according to classical laws of motion, is an intermediate description of a material quantum…

Quantum Physics · Physics 2007-05-23 Daniela Dragoman

Within the basis light-front quantization framework, we systematically investigate the unpolarized and longitudinally polarized double parton distributions (DPDs) of quarks inside the proton. We utilize the light-front wave functions of the…

High Energy Physics - Phenomenology · Physics 2025-07-11 Tian-Cai Peng , Zhi Hu , Sreeraj Nair , Siqi Xu , Xiang Liu , Chandan Mondal , Xingbo Zhao , James P. Vary

At a low resolution scale with $Q^2={\mu}^2$ corresponding to the nucleon bound state; deep inelastic unpolarized structure functions $F_1(x,{\mu}^2)$ and $F_2(x,{\mu}^2)$ are derived with correct support using the symmetric part of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 N. Barik , R. N. Mishra

The projection onto the Light-Front of a Minkowski space Faddeev-Bethe-Salpeter equation model truncated at the valence level is applied to study the proton structure with constituent quarks. The dynamics of the model has built-in: (i) a…

High Energy Physics - Phenomenology · Physics 2023-02-22 Emanuel Ydrefors , Tobias Frederico

Time-symmetric quantum mechanics can be described in the usual Weyl--Wigner--Moyal formalism (WWM) by using the properties of the Wigner distribution, and its generalization, the cross-Wigner distribution. The use of the latter makes clear…

Quantum Physics · Physics 2015-10-12 Charlyne de Gosson , Maurice de Gosson

An algebraic Ansatz for the proton's Poincar\'e-covariant wave function, which includes both scalar and pseudovector diquark correlations, is used to calculate proton valence, sea, and glue distribution functions (DFs). Regarding…

High Energy Physics - Phenomenology · Physics 2022-04-20 Lei Chang , Fei Gao , Craig D. Roberts

We discuss the spin structure of the proton in a light-cone treatment of the chiral quark model. Based on the fact that the quark helicity ($\Delta q$) measured in polarized deep inelastic scattering experiments is actually the quark spin…

High Energy Physics - Phenomenology · Physics 2012-07-03 Xinyu Zhang , Bo-Qiang Ma