Results 31 to 40 of about 7,226 (315)
A hidden classical symmetry of QCD
EPJ Web of Conferences, 2017 The classical part of the QCD partition function (the integrand) has, ignoring irrelevant exact zero modes of the Dirac operator, a local SU(2NF) ⊃ SU(NF)L × SU(NF)R × U(1)A symmetry which is absent at the Lagrangian level.
Glozman L. Ya.
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Electronic Journal of Qualitative Theory of Differential Equations, 2017 We give the description of self-adjoint regular Dirac operators, on $[0, ]$, with the same spectra.
Ashrafyan, Yuri, Harutyunyan, Tigran
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Dimensional reduction of Dirac operator [PDF]
Journal of Mathematical Physics, 2006 We construct an explicit example of dimensional reduction of the free massless Dirac operator with an internal SU(3) symmetry, defined on a 12-dimensional manifold that is the total space of a principal SU(3)-bundle over a four-dimensional (nonflat) pseudo-Riemannian manifold.
Nikolov, Petko A., Ruseva, Gergana R.
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Synchrotron Radiation for Quantum Technology
Advanced Functional Materials, EarlyView.Materials and interfaces underpin quantum technologies, with synchrotron and FEL methods key to understanding and optimizing them. Advances span superconducting and semiconducting qubits, 2D materials, and topological systems, where strain, defects, and interfaces govern performance.
Oliver Rader +10 more
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, 2020 [EN] This work is a mostly self-contained survey on Dirac operators. It starts by laying the fundamental building blocks at the heart of spin geometry, specifically its elemental geometrical and algebraic aspects. Thus, the concepts of vector and principal bundles over manifolds, Clifford algebras, the Pin and Spin groups, the spin representation and ...
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Dirac synchronization is rhythmic and explosive
Communications Physics, 2022 Topological signals are dynamical variables that can be associated to nodes, links, triangles, etc. Here, the authors formulate Dirac synchronization that uses the Dirac operator to couple locally topological signals defined on nodes and links and show ...
Lucille Calmon +3 more
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Advanced Functional Materials, EarlyView.From a database of 170 pentagonal 2D materials, 4 candidates exhibiting altermagnetic ordering are screened. Furthermore, the spin‐splitting and unconventional boundary states in the pentagonal 2D altermagnetic monolayer MnS2 are investigated. A MnS2‐based altermagnetic tunneling junction is designed and, through ab initio quantum transport simulations,
Jianhua Wang +8 more
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2D Multifunctional Spin‐Orbit Coupled Dirac Nodal Line Materials
Advanced Functional Materials, EarlyView.A total of 473 nonmagnetic and antiferromagnetic 2D spin‐orbit coupled Dirac nodal line materials are screened, spanning 5 layer groups and 12 magnetic space groups. Furthermore, it integrates their topological properties with electride, multiferroic, and magnetic characteristics, revealing unique systems with expanded functionalities and promising ...
Weizhen Meng +7 more
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Dirac operators on configuration spaces and Yang-Mills quantum field theory
Nuclear Physics BIn this paper we discuss a connection between Dirac operators on configuration spaces and Yang-Mills quantum field theory. We first show that the Hamilton operators of the self-dual and anti-self-dual sectors of a Yang-Mills quantum field theory emerge ...
Johannes Aastrup +1 more
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Qualitative analysis of very weak solutions to Dirac-harmonic equations
Journal of Inequalities and Applications, 2022 In this paper, we introduce a definition of very weak solutions to the homogenous Dirac-harmonic equations for differential forms. In this setting, applying the Gehring lemma and interpolation theorems, we establish a higher integrability of the Dirac ...
Guannan Shi, Ye Zhang
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