THE GLOBAL EXISTENCE AND DECAY ESTIMATES OF MAXWELL HIGGS THEORY IN FOUR DIMENSIONS
In this dissertation, the interaction of complex scalar field and electromagnetic field (Maxwell-Higgs system) on four-dimensional spacetime is considered. In the first part, the global existence of Maxwell-Higgs theory with generalised gauge coupling with the addition of scalar potential in Mink...
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| Format: | Dissertations |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/79449 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | In this dissertation, the interaction of complex scalar field and electromagnetic
field (Maxwell-Higgs system) on four-dimensional spacetime is considered. In the
first part, the global existence of Maxwell-Higgs theory with generalised gauge
coupling with the addition of scalar potential in Minkowski spacetime is
investigated. By taking the Kähler potential bounded by U(1)N symmetric Kähler
potential, the gauge coupling which is a bounded function, and the scalar potential
in the form of polynomial, sine-Gordon, or Toda potential, the global existence of
this system is proved. In the second part, the decay estimates of the
Maxwell-Higgs system in four-dimensional Schwarzschild space are proved. It is
shown that if the field equations support Morawetz-type estimates, then uniform
decay properties around the outside of the Schwarzschild black hole can be
obtained using the Sobolev inequality and its energy estimates. The results also
consider various forms of physical potential as in the first part. |
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