Results 11 to 20 of about 3,896 (261)
A Superspace Dirac Operator in NCG and the “Factorization” of the Ordinary Dirac Operator [PDF]
Acta Physica Polonica B, 2021 11 pages, no ...
Ciurla, Dominik +2 more
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G-Convergence of Dirac Operators [PDF]
Journal of Function Spaces and Applications, 2012 We consider the linear Dirac operator with a (−1)-homogeneous locally periodic potential that varies with respect to a small parameter. Using the notation of G-convergence for positive self-adjoint operators in Hilbert spaces we prove G-compactness in ...
Hasan Almanasreh, Nils Svanstedt
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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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Mathematics and Statistics, 2021 If $T$ is a (densely defined) self-adjoint operator acting on a complex Hilbert space $\mathcal{H}$ and $I$ stands for the identity operator, we introduce the delta function operator $λ\mapsto δ\left(λI-T\right) $ at $T$. When $T$ is a bounded operator, then $δ\left(λI-T\right) $ is an operator-valued distribution.
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Dirac Operators and Domain Walls [PDF]
SIAM Journal on Mathematical Analysis, 2020 We study the eigenvalue problem for a one-dimensional Dirac operator with a spatially varying ``mass'' term. It is well-known that when the mass function has the form of a kink, or \emph{domain wall}, transitioning between strictly positive and strictly negative asymptotic mass, $\pmκ_\infty$, at $\pm\infty$, the Dirac operator has a simple eigenvalue ...
Jianfeng Lu 0001 +2 more
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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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On the Kernel of the Affine Dirac Operator [PDF]
Moscow Mathematical Journal, 2008 Let L be a finite-dimensional semisimple Lie algebra with a non-degenerate invariant bilinear form, σan elliptic automorphism of L leaving the form invariant, and A a σ-invariant reductive subalgebra of L, such that the restriction of the form to A is non-degenerate. Consider the associated twisted affine Lie algebras L^, A^, and let F be the σ-twisted
V. KAC +2 more
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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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The Dirac Operator on SUq(2) [PDF]
Communications in Mathematical Physics, 2005 v2: minor changes; to appear in ...
Dabrowski, Ludwik +4 more
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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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