Vasily Sazonov - New Initial Approximation in Loop Vertex Expansion

Loop Vertex Expansion (LVE) was developed for the construction of QFT models with local and non-local interactions. Using LVE, one can prove the analyticity in the finite cardioid-like domain in the complex plain of the coupling constant of the free energies and cumulants of various vector, matrix, or tensor-type models. In this talk, applying the idea of choosing the initial approximation depending on the coupling constant, I construct the analytic continuation of the free energy of the quartic matrix model beyond the standard LVE cardioid.

Vasily Sazonov (Paris-Saclay University, CEA, List)

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#High_Energy_Physics_-_Theory #Research_talk #Researchers #Standard

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