1997/09/19 by J. M. Gracia-Bondia, José M. Gracia-Bondı́a, Bruno Iochum +3 · 2 citations
Mathematics · Physics and Astronomy · #Action (physics) #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Boson #Dirac (video compression format) #Dirac fermion #Dirac operator #Duality (order theory) #Fermion #Fermion doubling #Gauge (firearms) #Mathematical physics #Mathematics #Noncommutative algebraic geometry #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Particle physics #Physics #Pure mathematics #Quantum mechanics #Spectral triple #Standard Model (mathematical formulation) #Theoretical physics #Yukawa potential #hep-th
paper · pdf · doi:10.1016/s0370-2693(97)01310-5
published as Phys.Lett.B416:123-128,1998 · 9 pages LaTeX
arxiv created 1997/09/19 · openalex publication_date 1998/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The link between chirality in the fermion sector and (anti-)self-duality in the boson sector is reexamined in the light of Connes' noncommutative geometry approach to the Standard Model. We find it to impose that the noncommutative Yang-Mills action be symmetrized in an analogous way to the Dirac-Yukawa operator itself.