Stampedes I: fishnet OPE and octagon Bootstrap with nonzero bridges

• Autor(a) principal: Olivucci, Enrico
• Data de Publicação: 2022
• Outros Autores: Vieira, Pedro [UNESP]
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1007/JHEP07(2022)017; http://hdl.handle.net/11449/241268
• topic: 1/N Expansion; Gauge Symmetry; Scale and Conformal Symmetries; Supersymmetric Gauge Theory

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.