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Related papers: Hamiltonian Analysis of the Deep Inelastic Structu…

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A fundamental understanding of quantum chromodynamics, particularly at the amplitude level, is essential for progress in high energy physics. For example, the measurement and interpretation of the basic parameters of the electroweak theory…

High Energy Physics - Phenomenology · Physics 2009-09-11 S. J. Brodsky

An introduction and summary is given of the main results achieved by working group 1: Structure Functions in Deep Inelastic Scattering at HERA. The prospects were discussed of future measurements of the structure functions $F_{2}, F_{L},…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Blümlein , T. Doyle , F. Hautmann , M. Klein , A. Vogt

A fundamental question in QCD is the non-perturbative structure of hadrons at the amplitude level--not just the single-particle flavor, momentum, and helicity distributions of the quark constituents, but also the multi-quark, gluonic, and…

High Energy Physics - Phenomenology · Physics 2017-08-23 Stanley J. Brodsky

The $F_2$, $F_G$, $R = F_L/F_T$ proton structure functions are derived in the QCD dipole picture. Assuming $k_T$ and renormalization-group factorization, we relate deep-inelastic proton scattering to deep-inelastic onium scattering. We get…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Navelet , R. Peschanski , Ch. Royon , S. Wallon

In these lectures, I survey a number of applications of light-front methods to hadron and nuclear physics phenomenology and dynamics, Light-front Fock-state wavefunctions provide a frame-independent representation of hadrons in terms of…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. J. Brodsky

We solve a long-standing problem in particle physics: that of deriving the Deep Inelastic structure functions of the proton from the fundamental theory of strong interactions, Quantum ChromoDynamics (QCD). In the Bjorken limit, the momenta…

High Energy Physics - Theory · Physics 2007-05-23 S. G. Rajeev

Structure functions are the essential objects for understanding the deep inelastic scattering processes, providing valuable insight into the partonic structure of hadrons. A direct calculation of the Compton amplitude provides a…

High Energy Physics - Lattice · Physics 2022-12-20 K. Utku Can

We present a systematic analysis of the polarised and unpolarised processes $e^+ ~e^- \rightarrow e^+ ~e^- X$ in the deep inelastic limit and study the effects of target photon mass (virtuality) on the photon structure functions. The effect…

High Energy Physics - Phenomenology · Physics 2007-05-23 Prakash Mathews , V. Ravindran

We show that two dimensional QCD can, to a good approximation, describe the hadronic structure functions measured in Deep Inelastic Scattering. We transform this theory into a new form, Quantum HadronDynamics (QHD), whose semi-classical…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. G. Rajeev

A constituent parton picture of hadrons with logarithmic confinement naturally arises in weak coupling light-front QCD. Confinement provides a mass gap that allows the constituent picture to emerge. The effective renormalized Hamiltonian is…

High Energy Physics - Phenomenology · Physics 2009-10-28 Martina M. Brisudova , Robert J. Perry , Kenneth G. Wilson

Light-Front Hamiltonian theory, derived from the quantization of the QCD Lagrangian at fixed light-front time \tau = t+z/c, provides a rigorous frame-independent framework for solving nonperturbative QCD. The eigenvalues of the light-front…

High Energy Physics - Theory · Physics 2015-06-17 Stanley J. Brodsky , Guy F. de Téramond , Hans Günter Dosch

We study the proton structure functions $F_1$ and $F_2$ in the context of holography. We develop a general framework that extends previous holographic calculations of $F_1$ and $F_2$ to the case where the bulk geometry stems from bottom-up…

High Energy Physics - Theory · Physics 2025-10-28 Ayrton da Cruz Pereira do Nascimento , Henrique Boschi-Filho , Jorge Noronha

We investigate the gravitational form factors of a strongly coupled scalar theory that mimic the interaction between the nucleon and the pion. The non-perturbative calculation is based on the light-front Hamiltonian formalism. We…

High Energy Physics - Phenomenology · Physics 2023-10-03 Xianghui Cao , Yang Li , James P. Vary

We present a general formalism that uses the point form of relativistic Hamiltonian dynamics to describe the electroweak structure of heavy-light mesons within constituent quark models. We study the heavy quark limit (i.e. $m_Q\to \infty$)…

High Energy Physics - Phenomenology · Physics 2012-06-25 María Gómez-Rocha , Wolfgang Schweiger

We investigate structure functions in deep inelastic scattering processes (DIS) at Bj\"{o}rken limit and found that they are factorized into the longitudinal and transversal parts. We see that the longitudinal part can be linked to exact…

High Energy Physics - Phenomenology · Physics 2025-03-18 H. Babujian , M. Karowski , A. Sedrakyan

We compute structure functions in the Hamiltonian formalism on a momentum lattice using a physically motivated regularisation that links the maximal parton number to the lattice size. We show for the $\phi ^4 _{3+1}$ theory that our method…

High Energy Physics - Lattice · Physics 2007-05-23 Helmut Kroger , Norbert Scheu

The deuteron deep inelastic unpolarized structure function F_2^D is calculated using the Wilson operator product expansion method. The long distance behaviour, related to the deuteron bound state properties, is evaluated using the…

Nuclear Theory · Physics 2010-12-17 J. Paulo Pinto , A. Amorim , F. D. Santos

This paper concerns a method of describing hadrons that starts with the canonical front form Hamiltonian of QCD. The method is developed in the relatively simple context of QCD with only heavy quarks. We regulate its canonical Hamiltonian…

High Energy Physics - Phenomenology · Physics 2023-10-03 Kamil Serafin , María Gómez-Rocha , Jai More , S. D. Głazek

Light-Front Quantization provides a physical, frame-independent formalism for hadron dynamics and structure. Observables such as structure functions, transverse momentum distributions, and distribution amplitudes are defined from the…

High Energy Physics - Phenomenology · Physics 2016-04-20 Stanley J. Brodsky

Wavefunction structure is analyzed for dense interacting many-boson systems using Hamiltonian $H$, which is a sum of one-body $h(1)$ and an embedded GOE of $k$-body interaction $V(k)$ with strength $\lambda$. In the first analysis, a…

Statistical Mechanics · Physics 2021-04-07 Priyanka Rao , N. D. Chavda