Results 1 to 10 of about 3,896 (261)
Index-like theorem for massless fermions in spherically symmetric monopole backgrounds
Journal of High Energy Physics, 2022 In this paper we study massless fermions coupled to spherically symmetric SU(N) monopoles without Yukawa couplings between the Higgs and fermion fields.
T. Daniel Brennan
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Anomaly inflow for local boundary conditions
Journal of High Energy Physics, 2022 We study the η-invariant of a Dirac operator on a manifold with boundary subject to local boundary conditions with the help of heat kernel methods. In even dimensions, we relate this invariant to η-invariants of a boundary Dirac operator, while in odd ...
A. V. Ivanov, D. V. Vassilevich
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Matrix model and Yukawa couplings on the noncommutative torus
Journal of High Energy Physics, 2019 The IKKT model is proposed as a non-perturbative formulation of superstring theory. We propose a Dirac operator on the noncommutative torus, which is consistent with the IKKT model, based on noncommutative geometry.
Masaki Honda
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Dirac signal processing of higher-order topological signals
New Journal of Physics, 2023 Higher-order networks can sustain topological signals which are variables associated not only to the nodes, but also to the links, to the triangles and in general to the higher dimensional simplices of simplicial complexes.
Lucille Calmon +2 more
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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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Operator Representation of Fermi-Dirac and Bose-Einstein Integral Functions with Applications
International Journal of Mathematics and Mathematical Sciences, 2007 Fermi-Dirac and Bose-Einstein functions arise as quantum statistical distributions. The Riemann zeta function and its extension, the polylogarithm function, arise in the theory of numbers.
M. Aslam Chaudhry, Asghar Qadir
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A hidden classical symmetry of QCD
EPJ Web of Conferences, 2017 The classical part of the QCD partition function (the integrand) has, ignoring irrelevant exact zero modes of the Dirac operator, a local SU(2NF) ⊃ SU(NF)L × SU(NF)R × U(1)A symmetry which is absent at the Lagrangian level.
Glozman L. Ya.
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Dirac synchronization is rhythmic and explosive
Communications Physics, 2022 Topological signals are dynamical variables that can be associated to nodes, links, triangles, etc. Here, the authors formulate Dirac synchronization that uses the Dirac operator to couple locally topological signals defined on nodes and links and show ...
Lucille Calmon +3 more
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Dirac operators on configuration spaces and Yang-Mills quantum field theory
Nuclear Physics BIn this paper we discuss a connection between Dirac operators on configuration spaces and Yang-Mills quantum field theory. We first show that the Hamilton operators of the self-dual and anti-self-dual sectors of a Yang-Mills quantum field theory emerge ...
Johannes Aastrup +1 more
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Qualitative analysis of very weak solutions to Dirac-harmonic equations
Journal of Inequalities and Applications, 2022 In this paper, we introduce a definition of very weak solutions to the homogenous Dirac-harmonic equations for differential forms. In this setting, applying the Gehring lemma and interpolation theorems, we establish a higher integrability of the Dirac ...
Guannan Shi, Ye Zhang
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