Results 11 to 20 of about 1,518 (237)
Internal quark symmetries and colour SU(3) entangled with Z3-graded Lorentz algebra
Nuclear Physics B, 2021 In the current version of QCD the quarks are described by ordinary Dirac fields, organized in the following internal symmetry multiplets: the SU(3) colour, the SU(2) flavour, and broken SU(3) providing the family triplets.
Richard Kerner, Jerzy Lukierski
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Dirac’s discrete hypersurface deformation algebras [PDF]
Classical and Quantum Gravity, 2013 The diffeomorphism symmetry of general relativity leads in the canonical formulation to constraints, which encode the dynamics of the theory. These constraints satisfy a complicated algebra, known as Dirac's hypersurface deformation algebra. This algebra has been a long standing challenge for quantization.
Bonzom, Valentin, Dittrich, Bianca
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Dirac Induction for Rational Cherednik Algebras [PDF]
International Mathematics Research Notices, 2018 AbstractWe introduce the local and global indices of Dirac operators for the rational Cherednik algebra $\mathsf{H}_{t,c}(G,\mathfrak{h})$, where $G$ is a complex reflection group acting on a finite-dimensional vector space $\mathfrak{h}$. We investigate precise relations between the (local) Dirac index of a simple module in the category $\mathcal{O ...
Ciubotaru, DM, De Martino, M
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Seminormal systems of operators in Clifford environments [PDF]
Opuscula Mathematica, 2017 The primary goal of our article is to implement some standard spin geometry techniques related to the study of Dirac and Laplace operators on Dirac vector bundles into the multidimensional theory of Hilbert space operators.
Mircea Martin
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Dirac Reduction for Poisson Vertex Algebras [PDF]
Communications in Mathematical Physics, 2014 We construct an analogue of Dirac's reduction for an arbitrary local or non-local Poisson bracket in the general setup of non-local Poisson vertex algebras. This leads to Dirac's reduction of an arbitrary non-local Poisson structure. We apply this construction to an example of a generalized Drinfeld-Sokolov hierarchy.
DE SOLE, ALBERTO +2 more
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Physics Letters B, 2014 In this Letter, 2D Dirac oscillator in the quantum deformed framework generated by the κ-Poincaré–Hopf algebra is considered. The problem is formulated using the κ-deformed Dirac equation. The resulting theory reveals that the energies and wave functions
Fabiano M. Andrade, Edilberto O. Silva
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Construction of Discrete Symmetries Using the Pauli Algebra Form of the Dirac Equation
Physical Sciences Forum, 2023 Two equations whose variables take values in the Pauli algebra of complex quaternions are shown to be equivalent to the standard Dirac equation and its Hermitian conjugate taken together.
Avraham Nofech
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A new look at the Dirac quantization condition
European Physical Journal C: Particles and Fields, 2023 The angular momentum of any quantum system should be unambiguously quantized. We show that such a quantization fails for a pure Dirac monopole due to a previously overlooked field angular momentum from the monopole-electric charge system coming from the ...
Michael Dunia +2 more
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Journal of High Energy Physics, 2020 The surface charge algebra of generic asymptotically locally (A)dS4 spacetimes without matter is derived without assuming any boundary conditions. Surface charges associated with Weyl rescalings are vanishing while the boundary diffeomorphism charge ...
Geoffrey Compère +2 more
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SuperTracer: a calculator of functional supertraces for one-loop EFT matching
Journal of High Energy Physics, 2021 We present SuperTracer, a Mathematica package aimed at facilitating the functional matching procedure for generic UV models. This package automates the most tedious parts of one-loop functional matching computations.
Javier Fuentes-Martín +4 more
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