# Quantum critical lines in holographic phases with (un)broken symmetry

3 APC - THEORIE
APC (UMR_7164) - AstroParticule et Cosmologie, Institut für theoretische Physik
Abstract : All possible scaling IR asymptotics in homogeneous, translation invariant holographic phases preserving or breaking a U(1) symmetry in the IR are classified. Scale invariant geometries where the scalar extremizes its effective potential are distinguished from hyperscaling violating geometries where the scalar runs logarithmically. It is shown that the general critical saddle-point solutions are characterized by three critical exponents ($\theta, z, \zeta$). Both exact solutions as well as leading behaviors are exhibited. Using them, neutral or charged geometries realizing both fractionalized or cohesive phases are found. The generic global IR picture emerging is that of quantum critical lines, separated by quantum critical points which correspond to the scale invariant solutions with a constant scalar.
Document type :
Journal articles
Domain :

http://hal.in2p3.fr/in2p3-00826111
Contributor : Elias Kiritsis <>
Submitted on : Sunday, May 26, 2013 - 8:19:56 PM
Last modification on : Friday, November 13, 2020 - 4:24:02 PM

### Citation

B. Goutéraux, E. Kiritsis. Quantum critical lines in holographic phases with (un)broken symmetry. Journal of High Energy Physics, Springer, 2013, 2013, pp.53. ⟨10.1007/JHEP04(2013)053⟩. ⟨in2p3-00826111⟩

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