Bulk and brane gauge propagator on 5d AdS black hole
Shin'ichi Nojiri, Sergei D. Odintsov
TL;DR
This paper constructs and analyzes gauge propagators in a 5d AdS black hole background, examining their properties in different signatures and implications for gauge localization and hierarchy problem.
Contribution
It provides explicit bulk and brane gauge propagators for large-radius 5d AdS black holes and studies their properties in Minkowski and Euclidean signatures.
Findings
Gauge and ghost propagators are characterized in both signatures.
KK mode decoupling and gauge field localization on flat branes are demonstrated.
No natural solution to the hierarchy problem is found with this bulk setup.
Abstract
The bulk gauge fields on 5d AdS black hole are discussed. We construct the bulk (and the corresponding brane) gauge propagator when black hole has large radius. The properties of gauge and ghost propagators are studied in both, minkowski or euclidean signature. In euclidean formulation the propagator structure corresponds to the one of theory at finite temperature (which depends on coordinates). The decoupling of KK modes and localization of gauge fields on flat brane is demonstrated. We show that with such a bulk there is no natural solution of hierarchy problem.
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