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We investigate the feasibility of analyzing deep inelastic structure functions in Hamiltonian formalism by combining the light-front BJL limit of high energy amplitudes and the Fock space (multi-parton) description of hadrons. This study is…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Harindranath , Rajen Kundu

We study the following functional equation that has arisen in the context of mechanical systems invariant under the Poincare algebra: \sum\limits_{i=1}^{n+1}\dfrac{\partial}{\partial x_{i}}\prod\limits_{j\neq i}f(x_{i}-x_{j}) =0,\qquad n…

Mathematical Physics · Physics 2007-05-23 J. G. B. Byatt-Smith , H. W. Braden

We describe a procedure to extend the light-front holographic approach to hadronic physics to include light-quark masses. The proposed framework allows us to extend the formalism of de Alfaro, Fubini and Furlan to the frame-independent…

High Energy Physics - Phenomenology · Physics 2014-05-13 Guy F. de Teramond , Stanley J. Brodsky , Hans Gunter Dosch

We build a statistical description of fermions, taking into account the spin degree of freedom in addition to the momentum of particles, and we detail its use in the context of the kinetic theory of gases of fermions particles. We show that…

Statistical Mechanics · Physics 2017-06-21 Christian Fidler , Cyril Pitrou

A general scheme of construction and analysis of physical fields on the various homogeneous spaces of the Poincar\'{e} group is presented. Different parametrizations of the field functions and harmonic analysis on the homogeneous spaces are…

High Energy Physics - Theory · Physics 2010-02-22 V. V. Varlamov

We present a new variational principle for the gyrokinetic system, similar to the Maxwell-Vlasov action presented in Ref. 1. The variational principle is in the Eulerian frame and based on constrained variations of the phase space fluid…

Plasma Physics · Physics 2013-02-15 J. Squire , H. Qin , W. M. Tang , C. Chandre

We investigate the predictive power of transverse-momentum-dependent (TMD) distributions as a function of the light-cone momentum fraction $x$ and the hard scale $Q$ defined by the process. We apply the saddle point approximation to the…

High Energy Physics - Phenomenology · Physics 2020-07-03 Manvir Grewal , Zhong-Bo Kang , Jian-Wei Qiu , Andrea Signori

The description of the three-nucleon system in terms of nucleon and $\Delta$ degrees of freedom is extended to allow for explicit pion production (absorption) from single dynamic $\Delta$ de-excitation (excitation) processes. This mechanism…

Nuclear Theory · Physics 2008-11-26 M. T. Peña , P. U. Sauer , A. Stadler , G. Kortemeyer

We study the light-unflavored mesons as relativistic bound states in the nonperturbative Hamiltonian formalism of the basis light-front quantization (BLFQ) approach. The dynamics for the valence quarks of these mesons is specified by an…

Nuclear Theory · Physics 2020-12-30 Wenyang Qian , Shaoyang Jia , Yang Li , James P. Vary

Photonic solvers that are able to find the ground states of different spin Hamiltonians can be used to study many interactive physical systems and combinatorial optimization problems. Here, we establish a real-and-momentum space…

Optics · Physics 2026-01-07 Juan Feng , Zengya Li , Luqi Yuan , Erez Hasman , Bo Wang , Xianfeng Chen

We obtain the masses, the electromagnetic properties, and the parton distribution functions (PDFs) of $\Lambda$, $\Lambda_c$, and their isospin triplet baryons, i.e, $\Sigma^0$, $\Sigma^+$, $\Sigma^-$ and $\Sigma_c^0$, $\Sigma_c^+$,…

High Energy Physics - Phenomenology · Physics 2025-10-30 Tiancai Peng , Zhimin Zhu , Siqi Xu , Xiang Liu , Chandan Mondal , Xingbo Zhao , James P. Vary

The superconformal algebraic approach to hadronic physics is used to construct a semiclassical effective theory for nucleons which incorporates essential nonperturbative dynamical features, such as the emergence of a confining scale and the…

High Energy Physics - Phenomenology · Physics 2016-07-20 Guy F. de Teramond

The frame and scale dependence of the pair-term contribution to the electromagnetic form factor of a spin-zero composite system of two-fermions is studied within the Light Front. The form factor is evaluated from the plus-component of the…

Nuclear Theory · Physics 2009-11-07 J. P. B. C. de Melo , T. Frederico , E. Pace , G. Salme`

A Hamiltonian formulation is given for the gravitational dynamics of two spinning compact bodies to next-to-leading order ($G/c^4$ and $G^2/c^4$) in the spin-orbit interaction. We use a novel approach (valid to linear order in the spins),…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thibault Damour , Piotr Jaranowski , Gerhard Schäfer

High energy scattering experiments involving nuclei are typically analyzed in terms of light front variables. The desire to provide realistic, relativistic wave functions expressed in terms of these variables led me to try to use light…

Nuclear Theory · Physics 2009-10-31 Gerald A. Miller

We suggest a possible algorithm to calculate one-loop n-point functions within a variant of light-front perturbation theory. The key ingredients are the covariant Passarino-Veltman scheme and a surprising integration formula that localises…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Heinzl

Orbital angular momentum (OAM) is not a Poincar\'e invariant quantity; so, its value is observer dependent. Notwithstanding that, in quantum chromodynamics, a Poincar\'e-invariant theory, OAM is part of every hadron wave function. Using…

High Energy Physics - Phenomenology · Physics 2026-03-17 Y. -Y. Xiao , Z. -N. Xu , Z. -Q. Yao , C. D. Roberts , J. Rodríguez-Quintero

Within the framework of the covariant formulation of Light-Front Dynamics, we develop a nonperturbative renormalization scheme in the fermion model supposing that the composite fermion is a superposition of the "bare" fermion and a…

High Energy Physics - Theory · Physics 2009-11-10 V. A. Karmanov , J. -F. Mathiot , A. V. Smirnov

We explore the deep inelastic structure functions of hadrons nonperturbatively in an inverse power expansion of the light-front energy of the probe in the framework of light-front QCD. We arrive at the general expressions for various…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Harindranath , Rajen Kundu , Wei-Min Zhang

We obtain the leading-twist valence quark transverse-momentum-dependent parton distribution functions (TMD PDFs) for the proton within the basis light-front quantization (BLFQ) framework. Our results are consistent with lattice QCD…

High Energy Physics - Phenomenology · Physics 2022-08-22 Zhi Hu , Siqi Xu , Chandan Mondal , Xingbo Zhao , James P. Vary