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Related papers: The non-Abelian Aharonov-Bohm effect

200 papers

Basis tensor gauge theory is a vierbein analog reformulation of ordinary gauge theories in which the difference of local field degrees of freedom has the interpretation of an object similar to a Wilson line. Here we present a non-Abelian…

High Energy Physics - Theory · Physics 2019-10-23 Edward E. Basso , Daniel J. H. Chung

We discuss general properties and possible types of magnetic vortices in non-Abelian gauge theories (we consider here $G= SU(N), SO(N), USp(2N)$) in the Higgs phase. The sources of such vortices carry "fractional" quantum numbers such as…

High Energy Physics - Theory · Physics 2009-11-07 K. Konishi , L. Spanu

We discuss the abelian vortex dynamics in the abelian projection approach to non-abelian spin models. We show numerically that in the three-dimensional SU(2) spin model in the Maximal Abelian projection the abelian off-diagonal vortices are…

High Energy Physics - Lattice · Physics 2009-10-30 O. A. Borisenko , M. N. Chernodub , F. V. Gubarev

We study the Drell-Yan process in the polarized pion-nucleon scattering. We calculate the $U(1)_\text{em}$ gauge invariant hadron tensors. To this end, we have to take into account two diagrams---the standard diagram and an additional…

High Energy Physics - Phenomenology · Physics 2018-01-16 I. V. Anikin , L. Szymanowski , O. V. Teryaev , N. Volchanskiy

Artificial gauge fields open up burgeoning opportunities for wave engineering in different disciplines. So far,previous works have mostly focused on synthesizing spatial gauge fields, where the pseudo-magnetic fields lie at the heart of…

Optics · Physics 2025-12-25 Yucheng Lai , Yongliang Zhang , Kai Chang

We find new non-Abelian flux tube solutions in a model of $N_f$ scalar fields in the fundamental representation of SU(N)xU(1) with $N \leq N_f$ (the ``extended non-Abelian Higgs model''), and study their main properties. Among the solutions…

High Energy Physics - Theory · Physics 2008-11-26 Y. Brihaye , Y. Verbin

The nonlocal and topological nature of the molecular Aharonov-Bohm (MAB) effect is examined for real electronic Hamiltonians. A notion of preferred gauge for MAB is suggested. The MAB effect in the linear + quadratic $E\otimes \epsilon$…

Quantum Physics · Physics 2015-06-26 Erik Sjöqvist

Three closely related issues will be discussed. Magnetic quarks having non-Abelian charges have been found recently to appear as the dominant infrared degrees of freedom in some vacua of softly broken N=2 supersymmetric QCD with SU(n_c)…

High Energy Physics - Theory · Physics 2017-08-23 K. Konishi

We have proposed the non-Abelian dual superconductivity picture for quark confinement in the SU(3) Yang-Mills (YM) theory, and have given numerical evidences for the restricted-field dominance and the non-Abelian magnetic monopole dominance…

High Energy Physics - Lattice · Physics 2013-02-28 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

We consider the effects of the deuteron spin rotation and oscillations at the matter which is proportional to the real part of the deuteron spin-dependent forward scattering amplitude. That gives a possibility of a direct measurement of…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. G. Baryshevsky , K. G. Batrakov , S. L. Cherkas

We show how the Aharonov-Bohm flux (AB) $\phi_i$ and the dual gaps $(\Delta_1, \Delta_2)$ can affect the electron scattering in graphene quantum dots (GQDs) of radius $r_0$ in the presence of an electrostatic potential $V$. After obtaining…

Mesoscale and Nanoscale Physics · Physics 2024-09-23 Fatima Belokda , Ahmed Bouhlal , Ahmed Jellal

Treating the electron as a charged spinon we propose a theory of magnon spintronics, a non-Abelian gauge theory of SU(2)xU(1), which could be viewed as an effective theory of electron spintronics. Just like QED the theory has the U(1)…

Superconductivity · Physics 2025-06-30 Y. M. Cho , Franklin H. Cho

We construct the theory of non-abelian gauge antisymmetric tensor fields, which generalize the standard Yang-MIlls fields and abelian gauge p-forms. The corresponding gauge group acts on the space of inhomogeneous differential forms and it…

High Energy Physics - Theory · Physics 2008-11-26 S. N. Solodukhin

We study the violation of the adiabaticity of the electron dynamics in a slowly varying magnetic field. We formulate and solve exactly a non-adiabatic scattering problem. In particular, we consider scattering on a magnetic field…

Condensed Matter · Physics 2009-10-31 F. Evers , A. D. Mirlin , D. G. Polyakov , P. Woelfle

The dynamics of fluids in which the constituent particles carry nonabelian charges can be described succinctly in terms of group-valued variables via a generalization of the co-adjoint orbit action for particles. This formalism, which is…

High Energy Physics - Theory · Physics 2013-10-30 D. Capasso , V. P. Nair , J. Tekel

A non-abelian generalisation of a theory of gravity coupled to a 2-form gauge field and a dilaton is found, in which the metric and 3-form field strength are Lie algebra-valued. In the abelian limit, the curvature with torsion is self-dual…

High Energy Physics - Theory · Physics 2009-10-30 C. M. Hull

We report precision determinations of the beam normal single spin asymmetries ($A_n$) in the elastic scattering of 0.95 and 2.18~GeV electrons off $^{12}$C, $^{40}$Ca, $^{48}$Ca, and $^{208}$Pb at very forward angles where the most detailed…

This paper settles the question of injectivity of the non-Abelian X-ray transform on simple surfaces for the general linear group of invertible complex matrices. The main idea is to use a factorization theorem for Loop Groups to reduce to…

Differential Geometry · Mathematics 2022-01-27 Gabriel P. Paternain , Mikko Salo

We present results of a numerical experiment in which a neutral spin-1/2 particle subjected to a static magnetic vortex field passes through a double-slit barrier. We demonstrate that the resulting interference pattern on a detection screen…

Quantum Physics · Physics 2021-04-21 B. Zygelman

The scattering of an incident plane wave on two Aharonov-Bohm vortices with opposite fluxes is considered in detail. The presence of the vortices imposes non-trivial boundary conditions for the partial waves on a cut joining the two…

Exactly Solvable and Integrable Systems · Physics 2015-05-18 E Bogomolny , S Mashkevich , S Ouvry