- On the completeness of root function system of the Dirac operator with two-point boundary conditions
2023/04/12 by A. S. Makin, Makin, Alexander · 2 citations
Mathematics · #34L40 (Primary) 34L10 (Secondary) #Algebraic and Geometric Analysis #Boundary (topology) #Boundary value problem #Completeness (order theory) #Differential Equations and Boundary Problems #Dirac (video compression format) #Dirac operator #Epistemology #FOS: Mathematics #Function (biology) #Geometry #Mathematical analysis #Mathematics #Operator (biology) #Philosophy #Physics #Point (geometry) #Property (philosophy) #Pure mathematics #Quantum mechanics #Root (linguistics) #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
- A note on the three dimensional Dirac operator with zigzag type boundary conditions
2020/06/30 by Markus Holzmann, Holzmann, Markus · 1 citation
Chemistry · Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Boundary (topology) #Boundary value problem #Chemistry #Dirac operator #Dirichlet boundary condition #Dirichlet distribution #Discrete spectrum #Eigenvalues and eigenvectors #Essential spectrum #FOS: Mathematics #FOS: Physical sciences #Geometry #Laplace operator #Mathematical Physics (math-ph) #Mathematical analysis #Mathematical physics #Mathematics #Matrix Theory and Algorithms #Multiplicity (mathematics) #Omega #Operator (biology) #Physics #Pure mathematics #Quantum mechanics #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #Spectrum (functional analysis) #Zigzag #math-ph #math.AP #math.MP #math.SP
- QCD phase diagram for nonzero isospin-asymmetry
2017/12/31 by B. B. Brandt, B. B. Brandt, Bastian B. Brandt +5 · 15 citations
Mathematics · Physics and Astronomy · #Asymmetry #Crossover #Deconfinement #Dirac operator #Extrapolation #High-Energy Particle Collisions Research #Isospin #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Phase (matter) #Phase diagram #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #hep-lat #hep-ph #nucl-th
- Spectral sums of the Dirac-Wilson operator and their relation to the Polyakov loop
2007/03/19 by Franziska Synatschke, Andreas Wipf, Christian Wozar · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Deconfinement #Dirac operator #Gauge theory #Lattice (music) #Limit (mathematics) #Loop (graph theory) #Mathematical analysis #Mathematical physics #Mathematics #Operator (biology) #Order (exchange) #Particle physics theoretical and experimental studies #Phase transition #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Spectrum (functional analysis) #Wilson loop #hep-lat #hep-th
- Ginsparg-Wilson Dirac operator in monopole backgrounds on the fuzzy 2-sphere
2006/10/31 by Hajime Aoki, Satoshi Iso, Toshiharu Maeda · 2 citations
Chemistry · Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Artificial intelligence #Black Holes and Theoretical Physics #Chemistry #Computer science #Dirac (video compression format) #Dirac operator #Fuzzy logic #Magnetic monopole #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Operator (biology) #Physics #Quantum mechanics #Theoretical physics #hep-th
- Chiral phase transition and Anderson localization in the instanton liquid model for QCD
2005/12/20 by Antonio M. Garcia-Garcia, Antonio M. Garcı́a-Garcı́a, James C. Osborn · 1 citation
Chemistry · Physics and Astronomy · #Anderson localization #Chemistry #Condensed matter physics #Delocalized electron #Dirac operator #Eigenvalues and eigenvectors #Gauge theory #Instanton #Mathematical physics #Operator (biology) #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Theoretical and Computational Physics #cond-mat.dis-nn #hep-lat #hep-th
- Stability of lattice QCD simulations and the thermodynamic limit
2005/12/15 by Luigi Del Debbio, L. Del Debbio, L. Giusti +6 · 1 citation
Physics and Astronomy · #Dirac operator #Distribution function #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Lattice field theory #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quark #Spectral gap #hep-lat
- Möbius Fermions
2005/11/24 by Richard C. Brower, R. C. Brower, H. Neff +2 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic and Geometric Analysis #Artificial intelligence #Biology #Class (philosophy) #Computer science #Dirac operator #Domain (mathematical analysis) #Domain wall (magnetism) #Electromagnetic Scattering and Analysis #Fermion #Kernel (algebra) #Mathematical analysis #Mathematics #Matrix Theory and Algorithms #Operator (biology) #Physics #Pure mathematics #Quantum mechanics #Theoretical physics #Transformation (genetics) #hep-lat
- Topology conserving gauge action and the overlap-Dirac operator
2005/10/31 by Hidenori Fukaya, H. Fukaya, S. Hashimoto +5 · 2 citations
Mathematics · Physics and Astronomy · #BRST quantization #Black Holes and Theoretical Physics #Dirac operator #Gauge boson #Gauge fixing #Gauge theory #Hamiltonian lattice gauge theory #Lattice QCD #Lattice field theory #Lattice gauge theory #Mathematical physics #Mathematics #Operator (biology) #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Supersymmetric gauge theory #Topology (electrical circuits) #hep-lat
- Low-lying eigenmodes of the Wilson–Dirac operator and correlations with topological objects
2001/11/30 by Daniel-Jens Kusterer, J. N. Hedditch, John Hedditch +3 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Charge (physics) #Dirac (video compression format) #Dirac operator #Eigenvalues and eigenvectors #Hermitian matrix #Instanton #Mathematical physics #Mathematics #Operator (biology) #Particle physics theoretical and experimental studies #Physics #Position (finance) #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Topological quantum number #Topology (electrical circuits) #hep-lat
- Topology and the Dirac operator spectrum in finite-volume gauge theories
1999/03/17 by P.H. Damgaard, P. H. Damgaard · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Dirac (video compression format) #Dirac operator #Field (mathematics) #Finite volume method #Gauge (firearms) #Gauge theory #Mathematical analysis #Mathematical physics #Mathematics #Operator (biology) #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #Quantum mechanics #Spectrum (functional analysis) #Topological index #Topological quantum number #Topology (electrical circuits) #Winding number #hep-lat #hep-th
- Symplectic Surgery and the Spinc–Dirac Operator
1998/03/01 by Eckhard Meinrenken · 28 citations
Mathematics · #Advanced Operator Algebra Research #Algebra over a field #Dirac (video compression format) #Dirac operator #Equivariant map #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematical physics #Mathematics #Moment map #Operator (biology) #Physics #Pure mathematics #Quantum mechanics #Representation (politics) #Space (punctuation) #Symplectic geometry #Symplectic group #Symplectic representation
- Tau functions for the Dirac operator on the Poincaré disk
1993/09/02 by John Palmer, Morris Beatty, Craig A. Tracy · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Complex system #Dirac (video compression format) #Dirac operator #Function (biology) #Geometry and complex manifolds #Holomorphic and Operator Theory #Holonomic #Operator (biology) #Point (geometry) #Type (biology) #hep-th #math-ph #math.MP #nlin.SI #solv-int
- A short proof of the local Atiyah-Singer index theorem
1986/01/01 by Ezra Getzler · 2 citations
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebra over a field #Atiyah–Singer index theorem #Clifford analysis #Dirac (video compression format) #Dirac operator #Elementary proof #Homotopy and Cohomology in Algebraic Topology #Mathematics #Operator (biology) #Operator theory #Philosophy #Physics #Pure mathematics #Quantum mechanics #Riemann hypothesis #Simple (philosophy)
- Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem
1983/06/01 by Ezra Getzler · 4 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic and Geometric Analysis #Atiyah–Singer index theorem #Clifford algebra #Clifford analysis #Dirac (video compression format) #Dirac operator #Index (typography) #Manifold (fluid mechanics) #Mathematics #Noncommutative and Quantum Gravity Theories #Operator theory #Physics #Pseudodifferential operators #Pure mathematics #Quantization (signal processing) #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Supermanifold