2005/07/25 by Antonio González-Arroyo, Antonio Gonzalez-Arroyo, Robert Kirchner · 14 citations
Chemistry · Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Chemistry #Dirac operator #Field (mathematics) #Gauge (firearms) #Gauge theory #Materials science #Mathematical physics #Mathematics #Operator (biology) #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Representation (politics) #TRACE (psycholinguistics) #Theoretical physics #Topological Materials and Phenomena #Zero (linguistics) #hep-lat
paper · pdf · doi:10.1088/1126-6708/2006/01/029
published in Journal of High Energy Physics 2006(01), 029 (Springer Nature) · Latex file. 29 pages and 12 figures
arxiv created 2005/07/25 · openalex publication_date 2006/01/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show how zero-modes and quasi-zero-modes of the Dirac operator in the adjoint representation can be used to construct an estimate of the action density distribution of a pure gauge field theory, which is less sensitive to the ultraviolet fluctuations of the field. This can be used to trace the topological structures present in the vacuum. The construction relies on the special properties satisfied by the supersymmetric zero-modes.