On the Regge limit of Fishnet correlators

Abstract

We study the Regge trajectories of the Mellin amplitudes of the $0-,1-$ and $2-$ magnon correlators of the Fishnet theory. Since fishnet theory is both integrable and conformal, the correlation functions are known exactly. We find that while for $0$ and $1$ magnon correlators, the Regge poles can be exactly determined as a function of coupling, $2$-magnon correlators can only be dealt with perturbatively. We evaluate the resulting Mellin amplitudes at weak coupling, while for strong coupling we do an order of magnitude calculation.

arXiv commentJHEP version

References in corpus (7)

• Conformal Four Point Functions and the Operator Product Expansion
• Conformal Partial Waves and the Operator Product Expansion
• Conformal Regge theory
• New integrable non-gauge 4D QFTs from strongly deformed planar N=4 SYM
• Strongly γ-deformed N=4 SYM as an integrable CFT
• Bi-scalar integrable CFT at any dimension
• On a CFT limit of planar ${\gamma }_i$-deformed $\mathcal{N}=4$ SYM theory

Cited by in corpus (1)

• Spontaneous Conformal Symmetry Breaking in Fishnet CFT