2009/05/05 by Margarita Garcı́a Pérez, Margarita García Pérez, Antonio González-Arroyo +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-th #math-ph #math.MP
paper · pdf · doi:10.1088/1126-6708/2009/06/065
published as JHEP 0906:065,2009 · 40 latex pages and 5 eps figures
arxiv created 2009/05/05 · openalex publication_date 2009/06/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We derive analytic formulas for the zero-modes of the Dirac equation in the adjoint representation in the background field of Q=1 SU(N) calorons. Solutions with various boundary conditions are obtained, including the physically most relevant cases of periodic and antiperiodic ones. The latter are essential ingredients in a semiclassical treatment of finite temperature supersymmetric Yang-Mills theory. A detailed discussion of adjoint zero-modes in several other contexts is also presented.