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Dietrich, Dennis D. (2016): Worldline holography to all orders and higher spins. In: Physical Review D, Vol. 94, No. 8, 86013

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By using the worldline approach to quantum field theory, we demonstrate to all orders that the sources of a quantum field theory over Mink 4 naturally form a field theory over AdS(5). In particular, this holds for higher-spin sources of a free scalar theory. We work entirely within quantum-field theory and do not select a subset of diagrams. As the auxiliary fifth dimension Schwinger's proper time is grouped with the physical four spacetime dimensions into an AdS(5) geometry. The four-dimensional sources are extended to five-dimensional fields by a Wilson flow (gradient flow). A variational principle for said flow reproduces the corresponding holographic computation.

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