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

Hartmut Pecher

Type: Article

Publication Date: 2022-04-10

Citations: 0

DOI: https://doi.org/10.1007/s42985-022-00167-2

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].

Locations

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Works Cited by This (18)

Action	Title	Year	Authors
+	None	1996	Sergiù Klainerman Matei Machedon
+ PDF Chat	Low regularity solutions to the Chern-Simons-Dirac and the Chern-Simons-Higgs equations in the Lorenz gauge	2016	Hyungjin Huh Sung‐Jin Oh
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+ PDF Chat	Null structure and almost optimal local regularity for the Dirac-Klein-Gordon system	2007	Piero DʼAncona Damiano Foschi Sigmund Selberg
+	Generalized Strichartz Inequalities for the Wave Equation	1995	J. Ginibre G. Velo
+	Finite Energy Solutions of the Yang-Mills Equations in ℝ 3+1	1995	Sergiù Klainerman Matei Machedon
+ PDF Chat	BILINEAR ESTIMATES AND APPLICATIONS TO NONLINEAR WAVE EQUATIONS	2002	Sergiù Klainerman Sigmund Selberg
+	On the Maxwell-Klein-Gordon equation with finite energy	1994	Sergiù Klainerman Matei Machedon
+ PDF Chat	Local well-posedness of Yang–Mills equations in Lorenz gauge below the energy norm	2014	Achenef Tesfahun
+	Local well-posedness of the Yang–Mills equation in the temporal gauge below the energy norm	2003	Terence Tao