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We establish a correspondence between vortex equations on flat Riemann surfaces and harmonic spinors on the Nappi--Witten space, the group manifold of a central extension of the Euclidean group $SE(2)$. Vortex configurations lift naturally…

High Energy Physics - Theory · Physics 2026-04-08 Calum Ross , Raúl Sánchez Galán

We study the polarization of positively charged $W$'s in the scattering of massive electroweak bosons at hadron colliders. We rely on the separation of weak boson polarizations in the gauge-invariant, doubly-resonant part of the amplitude…

High Energy Physics - Phenomenology · Physics 2020-12-02 Alessandro Ballestrero , Ezio Maina , Giovanni Pelliccioli

Following Pasterski-Shao-Strominger we construct a new basis of states in the single-particle Hilbert space of massless particles as a linear combination of standard Wigner states. Under Lorentz transformation the new basis states transform…

High Energy Physics - Theory · Physics 2019-02-20 Shamik Banerjee

We present a classical linear response theory for a magneto-dielectric material and determine the polariton dispersion relations. The electromagnetic field fluctuation spectra are obtained and polariton sum rules for their optical…

Quantum Physics · Physics 2015-02-19 Stephen M. Barnett , Rodney Loudon

Momentum space polarization singularities of light appear as vectorial twists in the scattered and radiated far field patterns of exotic photonic structures. They relate to important concepts such as bound states in the continuum,…

Several other factors, besides the intrinsic local geometry, contribute to give a meaning to a space-time model. The simplest example comes from comparing Minkowski's and Milne's model, that both have a null Riemann tensor. We add to these…

General Relativity and Quantum Cosmology · Physics 2007-12-05 Ll. Bel

Topologically ordered states are quantum states of matter with topological ground state degeneracy and quasi-particles carrying fractional quantum numbers and fractional statistics. The topological spin $\theta_a=2\pi h_a$ is an important…

Strongly Correlated Electrons · Physics 2014-09-02 Hong-Hao Tu , Yi Zhang , Xiao-Liang Qi

The global Minkowski Bessel (M-B) modes, whose explicit form allows the identification and description of the condensed vacuum state resulting from the operation of a pair of accelerated refrigerators, are introduced. They span the…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Ulrich H. Gerlach

Polarization speckle is a fine granular light pattern having spatially varying random polarization profile. We generate these speckle patterns by using the scattering of Poincar\'e beams, a special class of vector vortex beams, through a…

Optics · Physics 2017-05-15 Salla Gangi Reddy , Vijay Kumar , Yoko Miyamoto , R. P. Singh

We discuss the dynamics of interacting dark-bright two-dimensional vector solitons in multicomponent immiscible bulk Bose-Einstein condensates. We describe matter-wave molecules without a scalar counterpart that can be seen as bound states…

Pattern Formation and Solitons · Physics 2011-06-01 Chenyun Yin , Natalia G. Berloff , Víctor M. Pérez-García , David Novoa , Alicia V. Carpentier , Humberto Michinel

We consider convex spacelike polyhedra oriented in Minkowski space. These are the classical analogues of spinfoam intertwiners. We point out a parametrization of these shapes using null face normals, with no constraints or redundancies. Our…

General Relativity and Quantum Cosmology · Physics 2013-12-12 Yasha Neiman

We compute the photon polarization tensor at one-loop order in the presence of a constant and uniform electric field. Our calculation is carried out for arbitrary field strength using the Schwinger proper-time formalism, and we explicitly…

High Energy Physics - Theory · Physics 2025-08-06 Luis A. Hernández , Juan D. Martínez-Sánchez , R. Zamora

The tensor polarization of particles and nuclei becomes constant in the coordinate system rotating with the same angular velocity as the spin and rotates in the lab frame with the above angular velocity. The general equation defining the…

High Energy Physics - Phenomenology · Physics 2015-07-07 Alexander J. Silenko

Analysis of the singularities of the polarization field of CMB, where polarization is equal to zero, is presented. It is found that the classification of the singular points differs from the usual three types known in the ordinary…

Astrophysics · Physics 2009-10-30 A. D. Dolgov , A. G. Doroshkevich , D. I. Novikov , I. D. Novikov

In this work, we study the Bloch wave homogenization for the Stokes system with periodic viscosity coefficient. In particular, we obtain the spectral interpretation of the homogenized tensor. The presence of the incompressibility constraint…

Analysis of PDEs · Mathematics 2016-08-29 Grégoire Allaire , Tuhin Ghosh , Muthusamy Vanninathan

We consider a classical Dirac field in flat Minkowski spacetime. We perform a Gordon decomposition of its canonical energy-momentum and spin currents, respectively. Thereby we find for each of these currents a convective and a polarization…

General Relativity and Quantum Cosmology · Physics 2016-08-15 F. W. Hehl , A. Macías , E. W. Mielke , Yu. N. Obukhov

Increasing the complexity of a light field through the advanced manipulation of its degrees of freedom (DoF) provides new opportunities for fundamental studies and technologies. Correlating polarization with the light's spatial or spectral…

Optics · Physics 2026-03-12 Lea Kopf , Rafael Barros , Robert Fickler

The symmetry conditions for the development of a macroscopic electrical polarization as a secondary order parameter to a magnetic ordering transition, and the constraints on the direction of the polarization vector, are determined by a…

Strongly Correlated Electrons · Physics 2009-11-11 P. G. Radaelli , L. C. Chapon

The starting point of this work is the principle that all movement of particles and photons must follow geodesics of a 4-dimensional space where time intervals are always a measure on geodesic arc lengths. The last 3 coordinates (alpha =…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jose B. Almeida

The first part of the paper reviews applications of 2-spinor methods to relativistic qubits (analogies between tetrads in Minkowski space and 2-qubit states, qubits defined by means of null directions and their role for elimination of the…

Quantum Physics · Physics 2012-09-21 Marek Czachor