Results 41 to 50 of about 2,501 (221)
The dihedral Dunkl-Dirac symmetry algebra with negative Clifford signature
, 2022 The Dunkl–Dirac symmetry algebra is an associative subalgebra of the tensor product of a Clifford algebra and the faithful polynomial representation of a rational Cherednik algebra.
Langlois-Rémillard, Alexis
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Fermions coupled to skyrmions on S**3 [PDF]
, 2003 This paper discusses Skyrmions on the 3-sphere coupled to fermions. The resulting Dirac equation commutes with a generalized angular momentum G. For G = 0 the Dirac equation can be solved explicitly for a constant Skyrme configuration and also for a SO(4)
Krusch, Steffen
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The deformation L∞ algebra of a Dirac-Jacobi structure
, 2022 We develop the deformation theory of a Dirac-Jacobi structure within a fixed Courant-Jacobi algebroid. Using the description of split Courant-Jacobi algebroids as degree 2 contact NQ manifolds and Voronov's higher derived brackets, each Dirac-Jacobi ...
Tortorella, AG
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An exceptional symmetry algebra for the 3D Dirac–Dunkl operator [PDF]
, 2020 We initiate the study of an algebra of symmetries for the 3D Dirac–Dunkl operator associated with the Weyl group of the exceptional root system G 2. For this symmetry algebra,we give both an abstract definition and an explicit realisation.
Alexis Langlois-Rémillard +3 more
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Fermions, Skyrmions and the 3-sphere [PDF]
, 2009 This paper investigates a background charge one Skyrme field chirally coupled to light fermions on the 3-sphere. The Dirac equation for the system commutes with a generalized angular momentum or grand spin.
Stephen W. Goatham +3 more
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Comment on `Dirac theory in spacetime algebra' [PDF]
Journal of Physics A: Mathematical and General, 2002 In contrast to formulations of the Dirac theory by Hestenes and by the current author, the formulation recently presented by W. P. Joyce [J. Phys. A: Math. Gen. 34 (2001) 1991--2005] is equivalent to the usual Dirac equation only in the case of vanishing mass. For nonzero mass, solutions to Joyce's equation can be solutions either of the Dirac equation
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Meson spectrum of SU(2) QCD 1+1 with quarks in Large representations
Journal of High Energy Physics, 2023 We consider SU(2) quantum chromodynamics in 1 + 1 dimensions with a single quark in the spin J representation of the gauge group and study the theory in the large J limit where the gauge coupling g 2 → 0 and J → ∞ with λ = g 2 J 2 fixed.
Anurag Kaushal +2 more
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Hopf–Hecke algebras, infinitesimal Cherednik algebras, and Dirac cohomology [PDF]
Pure and Applied Mathematics Quarterly, 2021 Hopf-Hecke algebras and Barbasch-Sahi algebras were defined by the first named author (2016) in order to provide a general framework for the study of Dirac cohomology. The aim of this paper is to explore new examples of these definitions and to contribute to their classification. Hopf-Hecke algebras are distinguished by an orthogonality condition and a
Flake, Johannes, Sahi, Siddhartha
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Poincare Algebra of QED with Dirac's Monopoles [PDF]
Progress of Theoretical Physics, 1983 Summary: From the text: Recently we formulated a canonical theory of electrodynamics with electric and magnetic point particles [the author, Phys. Lett. B 112, 458--462(1982)]. In that paper [op. cit.] the time-translation generator \(\hat H\) (the Hamiltonian) was constructed from the Lagrangian.
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Relativistic wave equations with fractional derivatives and pseudodifferential operators
Journal of Applied Mathematics, 2002 We study the class of the free relativistic covariant equations generated by the fractional powers of the d′Alembertian operator (□1/n). The equations corresponding to n=1 and 2 (Klein-Gordon and Dirac equations) are local in their nature, but the ...
Petr Závada
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