Open spin chains and complexity in the high energy limit

• Published in: The European physical journal. C, Particles and fields Vol. 78; no. 6; pp. 1 - 12
• Main Authors: Chachamis, Grigorios, Sabio Vera, Agustín
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2018; Springer; Springer Nature B.V; SpringerOpen
• Subjects: Amplitudes; Astronomy; Astrophysics and Cosmology; Chains; Complexity; Elementary Particles; Feynman diagrams; Field theory; Gluons; Hadrons; Heavy Ions; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Physics; Physics and Astronomy; Quantum chromodynamics; Quantum Field Theories; Quantum Field Theory; Quarks; Regular Article - Theoretical Physics; Scaling laws; String Theory; Supersymmetry; Transverse momentum; Yang-Mills theory
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-018-5977-8

In the high energy limit of scattering amplitudes in Quantum Chromodynamics and supersymmetric theories the dominant Feynman diagrams are characterized by a hidden integrability in the planar limit. A well-known example is that of Odderon exchange, which can be described as a composite state of three reggeized gluons and corresponds to a closed spin chain with periodic boundary conditions. In the N = 4 supersymmetric Yang–Mills theory a similar spin chain arises in the multi-Regge asymptotics of the eight-point amplitude in the planar limit. We investigate the associated open spin chain in transverse momentum and rapidity variables solving the corresponding effective Feynman diagrams. We introduce the concept of complexity in the high energy effective field theory and study its emerging scaling laws.