Quantum Field Theory and Gravity: Black Holes and Dark Matter

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Scientific paper

This thesis examines the various field theory related issues motivated by the gravitational phenomena. Black Holes with quantum degrees of freedom, non-abelian generalization of vortex solutions, and WIMP detection rates for the ongoing experimental search for dark matter are explored. We derive a close relation between the Minkowski signature approach and the Euclidean formalism in the construction of quantum degrees of freedom on a Black hole solution. We demonstrate the benefit of a physically transparent energy momentum consideration and extend the previous analysis on Hawking temperature shifts. Specifically we clear up the issue of thick string limit behavior that obscures the direct intuition and draw an analogy that brings the instanton solutions in flat two dimensional planes to Euclidean vortex solutions in the black hole background. These considerations lead to the question on the various possibilities of non-abelian solutions which supply the seed for the source of quantum hair in general context. We construct an explicit non-abelian vortex solution with a remnant Z3 discrete symmetry and consider its new interaction properties distinct from the known abelian solution behavior. Dark Matter direct search experiments are now in operation yet the expected event rate is very low and the previously available theoretical formalism could not tell the differences among different halo models. We present a derivation of angle dependent differential event rates which allows this possibility, and enables the confirmation of detection of a galactic halo WIMP signal with a smaller number of experimental signals. It may open up realistic methods to distinguish one halo model from another.

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