20-27 February 2019
HSE Study Center “Voronovo”
Europe/Moscow timezone

Rate of cluster decomposition via Fermat point

22 Feb 2019, 20:00
HSE Study Center “Voronovo”

HSE Study Center “Voronovo”

Voronovskoe, Moscow Russian Federation
Board: 11
Poster [portrait A1 or landscape A0] Poster Session


Lev Astrakhantsev (MIPT, ITEP)


In quantum field theory with a mass gap correlation function between two spatially separated operators decays exponentially with the distance. This fundamental result immediately implies an exponential suppression of all higher point correlation functions, but the predicted exponent is not optimal. We argue that in a general quantum field theory the optimal suppression of a three-point function is determined by total distance from the operator locations to the Fermat point. Similarly, for the higher point functions we conjecture the optimal exponent is determined by the solution of the Euclidean Steiner tree problem. We discuss how our results constrain operator spreading in relativistic theories.

Primary author

Lev Astrakhantsev (MIPT, ITEP)

Presentation Materials

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