Entanglement transfer from quantum matter to classical geometry in an emergent holographic dual description of a scalar field theory
نویسندگان
چکیده
Applying recursive renormalization group transformations to a scalar field theory, we obtain an effective quantum gravity theory with emergent extra dimension, described by dual holographic Einstein-Klein-Gordon type action. Here, the dynamics of both order-parameter and metric tensor originate from density-density energy-momentum tensor-tensor interactions, respectively, in transformation, performed approximately Gaussian level. This linear approximation transformation for sector gives rise linearized Einstein-scalar along $z-$directional space. In large $N$ limit, where is flavor number original fields, fluctuations dynamical fields are suppressed, leading classical $(D+1)$-spacetime dimensions. We show that this background describes flows coupling functions UV through dimension. More precisely, IR boundary conditions equations correspond $\beta$-functions infinitesimal distance extra-dimensional space identified energy scale transformation. Finally, also formulation entanglement geometrical way, encoding transfer matter limit. claim serves as microscopic foundation duality description.
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2021
ISSN: ['1127-2236', '1126-6708', '1029-8479']
DOI: https://doi.org/10.1007/jhep05(2021)260