Results 21 to 30 of about 2,501 (221)
The Dirac Sea, T and C Symmetry Breaking, and the Spinor Vacuum of the Universe
Universe, 2021 We have developed a quantum field theory of spinors based on the algebra of canonical anticommutation relations (CAR algebra) of Grassmann densities in the momentum space. We have proven the existence of two spinor vacua.
Vadim Monakhov
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Dirac theory in the Pauli algebra.
, 1991 A formal analysis of the Clifford algebras of Euclidean three-space and Minkowski spacetime, more commonly referred to as the Pauli and Dirac algebras, is presented. The relationship between these two algebras is explored in detail, culminating in the construction of a rigorous and completely general mechanism by which physical models based on ...
Kosokowsky, David E.
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The generalized relativistic harmonic oscillator with the Snyder-de Sitter algebra
Results in Physics, 2023 The Snyder-de Sitter (SdS) algebra is a model of non-commutative space–time admitting three fundamental parameters: the speed of light, the Planck mass and the cosmological constant, and therefore can be seen as an example of triply special relativity ...
A. Andolsi +3 more
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Leveraging prior known vector Green functions in solving perturbed Dirac equation in Clifford algebra [PDF]
, 2020 Published online August 14, 2020Solving boundary value problems with boundary element methods requires specific Green functions suited to the boundary conditions of the problem.
Seagar, Andrew +3 more
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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 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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The bundles of algebraic and Dirac–Hestenes spinor fields [PDF]
Journal of Mathematical Physics, 2004 Our main objective in this paper is to clarify the ontology of Dirac–Hestenes spinor fields (DHSF) and its relationship with even multivector fields, on a Riemann–Cartan spacetime (RCST) M=(M,g,∇,τg,↑) admitting a spin structure, and to give a mathematically rigorous derivation of the so-called Dirac–Hestenes equation (DHE) in the case where 𝔐 is a ...
Mosna, Ricardo A. +1 more
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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’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 reductions and classical W-algebras
Journal of Mathematical Physics, 2023 In the first part of this paper, we generalize the Dirac reduction to the extent of non-local Poisson vertex superalgebra and non-local SUSY Poisson vertex algebra cases. Next, we modify this reduction so that we explain the structures of classical W-superalgebras and SUSY classical W-algebras in terms of the modified Dirac reduction.
Gahng Sahn Lee, Arim Song, Uhi Rinn Suh
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