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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

Recently (Phys. Rev. Lett. 114 (2015), 210402) the influence of the so called "Wigner translations" (more generally-Lorentz trans- formations) on circularly polarized Gaussian packets ( providing the solution to Maxwell equations in…

High Energy Physics - Theory · Physics 2017-03-22 Katarzyna Bolonek-Lason , Piotr Kosinski , Pawel Maslanka

Wigner rotations are transformations that affect spinning particles and cause the observable phenomenon of Thomas precession. Here we study these rotations for arbitrary symmetry groups with a semi-direct product structure. In particular we…

High Energy Physics - Theory · Physics 2018-03-29 Blagoje Oblak

I discuss recent results from Jefferson Lab on the measurement of inclusive spin structure functions in the nucleon resonance region using polarized electron beams and polarized targets. Results on the first moment of the spin structure…

High Energy Physics - Phenomenology · Physics 2008-11-26 Volker D. Burkert

We describe in detail the implementation of the relativistic three-neutron finite-volume quantization condition derived in Ref. [1]. In particular, we show how the complications due to Wigner rotations acting on spins are included, and…

High Energy Physics - Lattice · Physics 2026-02-17 Wilder Schaaf , Stephen R. Sharpe

The Wigner function formalism has been applied to the analysis of elastic scattering processes. The new element of known formalism is the choice of the phase space on which the Wigner function is defined. This phase space is 4-dimensional…

High Energy Physics - Phenomenology · Physics 2010-08-09 I. Perevalova , M. Polyakov , O. Soldatenko , A. Vall

The recently proposed Wigner function for a particle in an infinite lattice [NJP 14, 103009 (2012)] is extended here to include an internal degree of freedom, as spin. The formalism is developed to account for dynamical processes, with or…

Quantum Physics · Physics 2015-01-26 M. Hinarejos , M. C. Bañuls , A. Pérez

Quantum tomography has become an indispensable tool in order to compute the density matrix $\rho$ of quantum systems in Physics. Recently, it has further gained importance as a basic step to test entanglement and violation of Bell…

High Energy Physics - Phenomenology · Physics 2024-10-04 Alexander Bernal

We study a new mechanism for hadronic helicity flip in high energy hard exclusive reactions. The mechanism proceeds in the limit of perfect chiral symmetry, namely without any need to flip a quark helicity. The fundamental feature of the…

High Energy Physics - Phenomenology · Physics 2009-10-28 T. Gousset , B. Pire , J. P. Ralston

An extended Wigner function formalism is introduced for describing the quantum dynamics of particles with internal degrees of freedom in the presence of spatially inhomogeneous fields. The approach is used for quantitative simulations of…

Quantum Physics · Physics 2014-05-09 Marcel Utz , Malcolm H Levitt , Nathan Cooper , Hendrik Ulbricht

Measurements of the net polarization of $\Lambda$ and $\bar{\Lambda}$ hyperons at the Relativistic Heavy Ion Collider (RHIC) have stimulated much interest in how strange quarks might align their spin with the vorticity of the matter created…

High Energy Physics - Theory · Physics 2021-01-04 Joseph I. Kapusta , Ermal Rrapaj , Serge Rudaz

We introduce a formalism for describing four-dimensional scattering amplitudes for particles of any mass and spin. This naturally extends the familiar spinor-helicity formalism for massless particles to one where these variables carry an…

High Energy Physics - Theory · Physics 2021-11-02 Nima Arkani-Hamed , Tzu-Chen Huang , Yu-tin Huang

We have found an effective method of calculating the Wigner function, being a quantum analogue of joint probability distribution of position and momentum, for bound states of nonrelativistic hydrogen atom. The formal similarity between the…

Quantum Physics · Physics 2009-11-11 L. Praxmeyer , J. Mostowski , K. Wodkiewicz

A general spin-resolved momentum distribution of electron-positron pairs produced in strong external fields is derived by combining the covariant spin projection operator and the Dirac-Heisenberg-Wigner (DHW) formalism. The result shows…

High Energy Physics - Phenomenology · Physics 2025-10-02 R. Z. Jiang , Z. L. Li , Y. J. Li

Lienard-Wiechert potentials of the relativistic spinning particle with anomalous magnetic moment in pseudoclassical theory are constructed. General expressions for the Lienard-Wiechert potentials are used for investigation of some specific…

High Energy Physics - Theory · Physics 2009-10-31 S. A. Arakelyan , G. V. Grigoryan , R. P. Grigoryan

In this work we give a review of the original formulation of the relativistic wave equation for particles with spin one-half. Traditionally \`a la Dirac, it's proposed that the ``square root'' of the Klein-Gordon (K-G) equation involves a 4…

General Physics · Physics 2015-11-25 J. Lorenzo Diaz-Cruz , Bryan Larios Lopez , O. Meza-Aldama , Jonathan Reyes Perez

We develop the helicity formalism for spin-2 particles and apply it to the case of gravity in flat extra dimensions. We then implement the large extra dimensions scenario of Arkani-Hamed, Dimopoulos and Dvali in the program AMEGIC++,…

High Energy Physics - Phenomenology · Physics 2009-11-10 T. Gleisberg , F. Krauss , K. Matchev , A. Schalicke , S. Schumann , G. Soff

Wigner crystals are prime candidates for the realization of regular electron lattices under minimal requirements on external control and electronics. However, several technical challenges have prevented their detailed experimental…

Based on the Wigner function in local equilibrium, we derive hydrodynamical quantities for a system of polarized spin-1/2 particles: the particle number current density, the energy-momentum tensor, the spin tensor, and the dipole moment…

High Energy Physics - Theory · Physics 2021-12-22 Hao-Hao Peng , Jun-Jie Zhang , Xin-Li Sheng , Qun Wang

We derive the free wave solutions of the Dirac equation from the viewpoint of matrix algebra. The concept of spin and the corresponding helicity states are analyzed in detail. This consideration may help the readers to study mathematical…

Quantum Physics · Physics 2024-07-11 Ben Goren , Kamal Barley , Sergei K. Suslov