Holographic phase transitions from higgsed, non abelian charged black holes

• Autores: Giordano, Gastón Luciano; Lugo, Adrián René
• Año de publicación: 2015
• Idioma: inglés
• Tipo de recurso: artículo
• Materia: Ciencias Exactas; Física; AdS-CFT Correspondence; Black Holes; Classical Theories of Gravity; Holography and condensed matter physics (AdS/CMT)
• Institución: Universidad Nacional de La Plata

We find solutions of a gravity-Yang-Mills-Higgs theory in four dimensions that represent asymptotic anti-de Sitter charged black holes with partial/full gauge symme-try breaking. We then apply the AdS/CFT correspondence to study the strong coupling regime of a 2 + 1 quantum field theory at temperature T and finite chemical potential, which undergoes transitions to phases exhibiting the condensation of a composite charged vector operator below a critical temperature T_c, presumably describing p + ip/p-wave su-perconductors. In the case of p + ip-wave superconductors the transitions are always of second order. But for p-wave superconductors we determine the existence of a critical value αT_c of the gravitational coupling (for fixed Higgs v.e.v. parameter m_W) beyond which the transitions become of first order. As a by-product, we show that the p-wave phase is energetically favored over the p + ip one, for any values of the parameters. We also find the ground state solutions corresponding to zero temperature. Such states are described by domain wall geometries that interpolate between AdST₄ spaces with different light velocities, and for a given m_W, they exist below a critical value of the coupling. The behavior of the order parameter as function of the gravitational coupling near the critical coupling suggests the presence of second order quantum phase transitions. We finally study the dependence of the solution on the Higgs coupling, and find the existence of a critical value beyond which no condensed solution is present.
Facultad de Ciencias Exactas
Instituto de Física La Plata