Maxwell interpolation and close similarities between liquids and holographic models

We show that liquids and certain holographic models are strikingly similar in terms of several detailed and specific properties related to their energy spectra. We consider two different holographic models and ascertain their similarity with liquids on the basis of emergence of the gap in transverse momentum space and the functional form of the dispersion relation. Furthermore, we find that the gap increases with temperature, the relaxation time governing the gap decreases with temperature and, finally, the gap is inversely proportional to the relaxation time as in liquids. On this basis, we propose that Maxwell-Frenkel approach to liquids can be used to understand holographic models and their strongly-coupled field theory counterparts in a non-perturbative way.