TY - JOUR
T1 - Rate of cluster decomposition via Fermat-Steiner point
AU - Avdoshkin, Alexander
AU - Astrakhantsev, Lev
AU - Dymarsky, Anatoly
AU - Smolkin, Michael
N1 - Publisher Copyright:
© 2019, The Author(s).
PY - 2019/4/1
Y1 - 2019/4/1
N2 - 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-Steiner 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.
AB - 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-Steiner 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.
KW - Effective Field Theories
KW - Field Theories in Higher Dimensions
KW - Field Theories in Lower Dimensions
KW - Renormalization Regularization and Renormalons
UR - http://www.scopus.com/inward/record.url?scp=85064932305&partnerID=8YFLogxK
U2 - 10.1007/JHEP04(2019)128
DO - 10.1007/JHEP04(2019)128
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AN - SCOPUS:85064932305
SN - 1126-6708
VL - 2019
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 4
M1 - 128
ER -