4.4 Article

Stampedes I: fishnet OPE and octagon Bootstrap with nonzero bridges

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 7, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP07(2022)017

Keywords

1/N Expansion; Scale and Conformal Symmetries; Supersymmetric Gauge Theory; Gauge Symmetry

Funding

  1. Government of Canada through NSERC
  2. Province of Ontario through MRI
  3. Simons Foundation [488661]
  4. ICTP-SAIFR FAPESP [2016/01343-7]
  5. FAPESP [2016/01343-7, 2019/24277-8, 2017/03303-1]
  6. Sao Paulo Research Foundation (FAPESP) [2019/24277-8]

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Some important quantities in quantum field theory can be re-summed using a concept called stampede, which is a simple time-evolution process of particles. Stampede plays a crucial role in certain quantum field theories, governing leading logarithmic quantities. The leading euclidean OPE limit in fishnet theory and null double-scaling limits in N=4 SYM are notable examples. This work extends a beautiful bootstrap program to all octagon functions with arbitrary diagonal bridge length using these results.
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.

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