Results 1 to 10 of about 7,226 (315)
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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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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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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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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Dirac Operators on Noncommutative Curved Spacetimes
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We study the notion of a Dirac operator in the framework of twist-deformed noncommutative geometry. We provide a number of well-motivated candidate constructions and propose a minimal set of axioms that a noncommutative Dirac operator should satisfy ...
Alexander Schenkel +1 more
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Alternatives to the stochastic “noise vector” approach
EPJ Web of Conferences, 2018 Several important observables, like the quark condensate and the Taylor coefficients of the expansion of the QCD pressure with respect to the chemical potential, are based on the trace of the inverse Dirac operator and of its powers.
de Forcrand Philippe, Jäger Benjamin
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Distribution of the Dirac modes in QCD
EPJ Web of Conferences, 2018 It was established that distribution of the near-zero modes of the Dirac operator is consistent with the Chiral Random Matrix Theory (CRMT) and can be considered as a consequence of spontaneous breaking of chiral symmetry (SBCS) in QCD.
Catillo M., Glozman L. Ya.
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