Categoria: General Quantum Field Theory as a set of coupled ODEs - Dr Manuele Loparco (Università di Torino)

Quantum Field Theory as a set of coupled ODEs - Dr Manuele Loparco (Università di Torino)


Novembre 5, 2025

Correlation functions of local operators in Quantum Field Theory (QFT) on hyperbolic space can be fully characterized by the “QFT data”: scaling dimensions of boundary operators, boundary Operator Product Expansion (OPE) coefficients and Boundary Operator Expansion (BOE)
coefficients for each bulk operator.
We derive a universal set of first order Ordinary Differential Equations (ODEs) that encode the variation of the QFT data under an infinitesimal change of a bulk relevant coupling, for simplicity in the case in which the bulk is two <a href="http://dimensional.
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In principle, our ODEs can be used to follow a Renormalization Group (RG) flow starting from a solvable QFT into a strongly coupled phase and to the flat space limit. As such, they appear to be a promising non-perturbative tool to formulate predictions in weakly and strongly coupled <a href="http://QFTs.

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">QFTs.

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