Chiral phase transition of bulk abelian gauge theories in the randall-sundrum background

The chiral phase transition of strong-coupling Abelian gauge theories is investigated in brane world models. It is assumed that the gauge boson propagates in an extra dimension, i.e. we consider bulk gauge theories. The phase structure is analytically evaluated by using low-energy effective theories. We also numerically solve the ladder Schwinger-Dyson equation for the full fermion propagator including Kaluza-Klein (KK) excitation modes of the gauge field. It is found that the chiral phase transition is of second order, and the critical value of the coupling constant is obtained. The extra dimension has a large influence on the chiral phase transition. It is studied how the number of KK modes affects the chiral phase transition.