Open AccessGlobal Existence of Maxwell Klein Gordon Theory with General Couplings
Author(s) -
Mulyanto Mulyanto,
Fiki T. Akbar,
Bobby Eka Gunara
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1245/1/012078
Subject(s) - minkowski space , norm (philosophy) , mathematical physics , klein–gordon equation , physics , coulomb , maxwell's equations , gauge (firearms) , gauge theory , energy (signal processing) , mathematics , space (punctuation) , gauge fixing , mathematical analysis , quantum mechanics , law , gauge boson , computer science , nonlinear system , archaeology , political science , history , operating system , electron
In this paper, we prove the global existence of Maxwell Klein Gordon equation (MKG) with the addition of general couplings in 4-dimensional Minkowski space. It is well known that the MKG system is globally well-posed in consideration of the Coulomb gauge condition for finite energy, while here we use the temporal gauge condition to prove its existence. The result shows that the solution does not blow up in finite time. For complete proof of global existence, we show that ( H 2 × H 1 ) norm in the form of “modification of energy” is not also blow up in finite time.