Higgs/amplitude mode dynamics from holography. (English) Zbl 1522.81426
Summary: 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.
MSC:
| 81T35 | Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.) |
| 81T28 | Thermal quantum field theory |
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 83E50 | Supergravity |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
Keywords:
AdS-CFT correspondence; holography and condensed matter physics (AdS/CMT); holography and hydrodynamicsReferences:
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