Completeness Theorems for Impulsive Dirac Operator with Discontinuity
AxiomsIn this work, the discontinuous Dirac operator with weight is studied. We prove the completeness theorems of the system of eigenfunctions for the discontinuous Dirac operator.
Kai Wang +3 more
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Results on the number of zero modes of the Weyl-Dirac operator [PDF]
, 2009 For a given magnetic potential A one can define the Weyl-Dirac operator σ·(−i∇−A) on R 3 . An L 2 eigenfunction of σ · (−i∇ − A) corresponding to 0 is called a zero mode.
Ta, Tri
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Covariantization of quantized calculi over quantum groups [PDF]
Mathematica Bohemica, 2020 We introduce a method for construction of a covariant differential calculus over a Hopf algebra $A$ from a quantized calculus $da=[D,a]$, $a\in A$, where $D$ is a candidate for a Dirac operator for $A$.
Seyed Ebrahim Akrami, Shervin Farzi
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Eigenvalue counting estimates for a class of linear spectral pencils with applications to zero modes [PDF]
, 2012 Consider a linear spectral pencil of the form P(−i∇)− zQ(x), z ∈ C. If P−1 ∈ weak-Lp and Q ∈ Lp for some 1 < p
Elton, Daniel, Ta, Tri Ngoc
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An alternative derivation of the Dirac operator generating intrinsic Lagrangian local gauge invariance [PDF]
Papers in Physics, 2017 This paper introduces an alternative formalism for deriving the Dirac operator and equation. The use of this formalism concomitantly generates a separate operator coupled to the Dirac operator.
Brian Jonathan Wolk
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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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Effective gravitational action for 2D massive Majorana fermions on arbitrary genus Riemann surfaces
Journal of High Energy Physics, 2023 We explore the effective gravitational action for two-dimensional massive Euclidean Majorana fermions in a small mass expansion, continuing and completing the study initiated in a previous paper [1]. We perform a detailed analysis of local zeta functions,
Manojna Namuduri, Adel Bilal
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Topological index theorem on the lattice through the spectral flow of staggered fermions
Physics Letters B, 2015 We investigate numerically the spectral flow introduced by Adams for the staggered Dirac operator on realistic (quenched) gauge configurations. We obtain clear numerical evidence that the definition works as expected: there is a clear separation between ...
V. Azcoiti +3 more
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Dirac operator spectrum on a nilmanifold
Nuclear Physics B, 2022 We obtain the spectrum of the Dirac operator on the three-dimensional Heisenberg nilmanifold M3, and its complete dependence on the metric moduli.
Aldo Deandrea +2 more
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Unitary Howe dualities in fermionic and bosonic algebras and related Dirac operators
SciPost Physics Proceedings, 2023 In this paper we use the canonical complex structure $\mathbb{J}$ on $\mathbb{R}^{2n}$ to introduce a twist of the symplectic Dirac operator. This can be interpreted as the bosonic analogue of the Dirac operators on a Hermitian manifold.
Guner Muarem
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