Holography Light: Justification and Future Theory

Table of Links Prologue Diagrammatic(s) Rules Straight-forward Eikonal Legacy Bosonization Wonton Holography Holographic Propagators Strange Cuprates Stranger Things Epilogue Prologue Prologue Diagrammatic(s) Rules Diagrammatic(s) Rules Straight-forward Eikonal Straight-forward Eikonal Legacy Bosonization Legacy Bosonization Wonton Holography Wonton Holography Holographic Propagators Holographic Propagators Strange Cuprates Strange Cuprates Stranger Things Stranger Things Epilogue Epilogue Epilogue Importantly, even a perfect match between the holographic and some other (believed to be comparatively better established) results would not provide a firm justification for the holographic technique itself. Indeed, any results obtained under the assumption of a purely classical (non-dynamical) background metric - which assumption is overwhelmingly common to the practical applications of the holographic approach - would only pertain to its ’light’ version, as opposed to the full-fledged one. As to the possible desk-top simulations of such a ’holography light’ scenario, those have been proposed for several platforms, including flexible graphene flakes [55] and hyperbolic metamaterials [56]. Projecting into the future, it seems quite likely that the ultimate theory of correlated quantum matter will eventually assume a form akin to quantum hydrodynamics formulated in terms of the moments of quantum distribution function [57]. Such a collective-field description of the bulk (a.k.a. ’phase’) space with the d-dimensional momentum providing for the extra dimensions could be equally well called either bosonization, or holography. 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