Abstract
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.
| Original language | English |
|---|---|
| Article number | 128 |
| Journal | Journal of High Energy Physics |
| Volume | 2019 |
| Issue number | 4 |
| DOIs | |
| State | Published - Apr 1 2019 |
Bibliographical note
Publisher Copyright:© 2019, The Author(s).
Funding
Article funded by SCOAP3.
| Funders | Funder number |
|---|---|
| U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China | 1748958 |
| Bonfils-Stanton Foundation | 2016186 |
Keywords
- Effective Field Theories
- Field Theories in Higher Dimensions
- Field Theories in Lower Dimensions
- Renormalization Regularization and Renormalons
ASJC Scopus subject areas
- Nuclear and High Energy Physics