Higgs/Amplitude Mode Dynamics From Holography

Abstract

Second order phase transitions are universally driven by an order parameter which becomes trivial at the critical point. At the same time, collective excitations which involve the amplitude of the order parameter develop a gap which smoothly closes to zero at criticality. We develop analytical techniques to study this "Higgs" mode in holographic systems which undergo a continuous phase transition at finite temperature and chemical potential. This allows us to study the linear response of the system at energy scales of the order of the gap. We express the Green's functions of scalar operators in terms of thermodynamic quantities and a single transport coefficient which we fix in terms of black hole horizon data.

38 pages, 4 figures, Version accepted by JHEP

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Cited by in corpus (4)

• Pion dynamics in a soft-wall AdS-QCD model
• Nearly Critical Holographic Superfluids
• Dynamical stability from quasi normal modes in 2nd, 1st and 0th order holographic superfluid phase transitions
• Critical and near-critical relaxation of holographic superfluids