Local well-posedness of the coupled Yang–Mills and Dirac system in temporal gauge

Hartmut Pecher ()
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Hartmut Pecher: Bergische Universität Wuppertal

Partial Differential Equations and Applications, 2022, vol. 3, issue 3, 1-23

Abstract: Abstract We consider the classical Yang–Mills system coupled with a Dirac equation in 3+1 dimensions in temporal gauge. Using that most of the nonlinear terms fulfill a null condition we prove local well-posedness for small data with minimal regularity assumptions. This problem for smooth data was solved forty years ago by Y. Choquet-Bruhat and D. Christodoulou. The corresponding problem in Lorenz gauge was considered recently by the author in [14].

Keywords: Yang–Mills; Dirac equation; Local well-posedness; Temporal gauge; 35Q40; 35L70 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s42985-022-00167-2

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