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Stampedes I: fishnet OPE and octagon Bootstrap with nonzero bridges

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Author(s):
Olivucci, Enrico ; Vieira, Pedro
Total Authors: 2
Document type: Journal article
Source: Journal of High Energy Physics; v. N/A, n. 7, p. 34-pg., 2022-07-04.
Abstract

Some quantities in quantum field theory are dominated by so-called leading logs and can be re-summed to all loop orders. In this work we introduce a notion of stampede which is a simple time-evolution of a bunch of particles which start their life in a corner - on the very right say - and hop their way to the opposite corner - on the left - through the repeated action of a quantum Hamiltonian. Such stampedes govern leading logs quantities in certain quantum field theories. The leading euclidean OPE limit of correlation functions in the fishnet theory and null double-scaling limits of correlators in N = 4 SYM are notable examples. As an application, we use these results to extend the beautiful bootstrap program of Coronado [1] to all octagons functions with arbitrary diagonal bridge length. (AU)

FAPESP's process: 19/24277-8 - Applications of quantum field theory
Grantee:Pedro Gil Martins Vieira
Support Opportunities: Research Projects - SPEC Program
FAPESP's process: 16/01343-7 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics
Grantee:Nathan Jacob Berkovits
Support Opportunities: Special Projects