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We investigate the impact of diffeomorphisms where more than one nonequivalent spinor structure is built upon a given base manifold endowed with nontrivial topology. We call attention to the fact that a relatively straightforward…

Mathematical Physics · Physics 2025-11-17 J. M. Hoff da Silva

We obtain the spectrum of the Dirac operator on the three-dimensional Heisenberg nilmanifold $\mathcal{M}_3$, and its complete dependence on the metric moduli. As an application, we construct the four-dimensional low-energy effective action…

High Energy Physics - Theory · Physics 2022-07-20 Aldo Deandrea , Fabio Dogliotti , Dimitrios Tsimpis

In this paper, we show what we can learn from the CEBAF experiments on spin-structure functions, and the transition from the Drell-Hearn-Gerasimov sum rule in the real photon limit to the spin dependent sum rules in the deep inelastic…

High Energy Physics - Phenomenology · Physics 2009-10-28 Zhenping Li , Zhujun Li

We investigate the relationship between the configuration category of a manifold and the configuration category of a covering space of that manifold.

Algebraic Topology · Mathematics 2024-01-02 Pedro Boavida de Brito , Michael S. Weiss

In this work, we analyze the influence of noninertial and spin effects on the dynamics of the 2D Dirac oscillator in the magnetic cosmic string background. To model this background, we consider a uniform magnetic field, the Aharonov-Bohm…

High Energy Physics - Theory · Physics 2020-09-15 R. R. S. Oliveira

A phenomenological spin-fluctuation analysis (Ref. 1), based upon inelastic neutron scattering (INS) and angular resolved photoemission spectroscopy (ARPES) data for ${\rm YBCO}_{6.6}(T_c=61K)$, is used to calculate the functional…

Superconductivity · Physics 2018-05-23 Thomas Dahm , D. J. Scalapino

Azimuthal and single spin asymmetries play a crucial role in the study of the spin structure of hadrons in terms of their elementary constituents. Exploiting them to uncover information over subtle distribution and fragmentation functions,…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Boglione , P. J. Mulders

This is a survey of the inverse spectral problem on (mainly compact) Riemannian manifolds, with or without boundary. The emphasis is on wave invariants: on how wave invariants have been calculated and how they have been applied to concrete…

Spectral Theory · Mathematics 2011-11-10 Steve Zelditch

We present an overview of recent experimental and theoretical advances in our understanding of the spin structure of protons and neutrons.

High Energy Physics - Phenomenology · Physics 2011-07-19 B. W. Filippone , Xiangdong Ji

We analyze the relation between the Dirac spectrum and the gauge field in SU(3) lattice QCD. We focus on how components of the gauge field are related to the Dirac spectrum. First, we consider momentum components of the gauge field. It…

High Energy Physics - Lattice · Physics 2010-11-23 Arata Yamamoto

We theoretically study the spin-orbit crossed susceptibility of topological Dirac semimetals. Because of strong spin-orbit coupling, the orbital motion of electrons is modulated by Zeeman coupling, which contributes to orbital…

Mesoscale and Nanoscale Physics · Physics 2019-02-21 Yuya Ominato , Shuta Tatsumi , Kentaro Nomura

We consider spin-dependent scatterers with large scattering cross-sections in graphene -a Zeeman-like and an intrinsic spin-orbit coupling impurity- and show that a gated ring around them can be engineered to produce an effcient control of…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 Diego Oliver , Tatiana G. Rappoport

In this largely expository paper we give a self-contained treatment of the Dirac operator. Emphasizing the algebraic point of view we first sketch the necessary prerequisites from Clifford algebras and their representations and then define…

Differential Geometry · Mathematics 2007-05-23 Herbert Schroeder

The Dirac field is studied in a Lyra space-time background by means of the classical Schwinger Variational Principle. We obtain the equations of motion, establish the conservation laws, and get a scale relation relating the energy-momentum…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. Casana , C. A. M. de Melo , B. M. Pimentel

The spectrum of integrable spin chains are shown to be independent of the ordering of their spins. As an application we introduce defects (local spin inhomogeneities in homogenous chains) in two-boundary spin systems and, by changing their…

High Energy Physics - Theory · Physics 2011-02-16 Z. Bajnok

I will give an overview on fragmentation functions with particular emphasis on spin-dependence. A straightforward classification scheme permits to label all independent fragmentation functions for a given physical situation in an…

High Energy Physics - Phenomenology · Physics 2009-11-07 Rainer Jakob

Spin-orbit coupling characterizes quantum systems such as atoms, nuclei, hypernuclei, quarkonia, etc., and is essential for understanding their spectroscopic properties. Depending on the system, the effect of spin-orbit coupling on shell…

Nuclear Theory · Physics 2016-06-29 J. -P. Ebran , E. Khan , A. Mutschler , D. Vretenar

We discuss the role of the U(1) axial anomaly in the spin structure functions of the nucleon, with particular emphasis on how one might determine its x dependence in present and future deep inelastic scattering experiments. We focus on the…

High Energy Physics - Phenomenology · Physics 2010-02-17 S. D. Bass , A. W. Thomas

In this paper, we describe the group SpinT (n) and give some properties of this group. We construct SpinT spinor bundle S by means of the spinor representation of the group SpinT (n) and define covariant derivative operator and Dirac…

Differential Geometry · Mathematics 2015-08-24 Senay Bulut , Ali Kemal Erkoca

We consider integrable deformations of the XXZ spin chain for periodic and open boundary conditions. In particular, we classify all long-range deformations and study their impact on the spectrum. As compared to the XXX case, we have the…

Mathematical Physics · Physics 2013-10-03 Niklas Beisert , Lucas Fievet , Marius de Leeuw , Florian Loebbert