Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-04-18
Physics
High Energy Physics
High Energy Physics - Theory
7 pages, 7 figures
Scientific paper
It is beyond the present techniques based on perturbation theory to reveal the nature of phase transitions in strongly interacting field theories. Recently, the holographic approach has provided us with an effective dual description, mapping strongly coupled conformal field theories to classical gravity theories. Resorting to the holographic superconductor model, we propose a general criterion for the nature of the superconducting phase transition based on effective interactions between vortices. We find "tricritical" points in terms of the chemical potential for U(1) charges and an effective Ginzburg-Landau parameter, where vortices do not interact to separate the second order (repulsive) from the first order (attractive) transitions. We interpret the first order transition as the Coleman-Weinberg mechanism, arguing that it is relevant to superconducting instabilities around quantum criticality.
Kim Ki-Seok
Kim Kyung Kiu
Kim Youngman
Ko Yumi
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