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Regge amplitudes in generalized fishnet and chiral fishnet theories

Chowdhury, SD and Haldar, P and Sen, K (2020) Regge amplitudes in generalized fishnet and chiral fishnet theories. In: Journal of High Energy Physics, 2020 (12).

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Official URL: https://doi.org/10.1007/JHEP12(2020)117


We extend the analysis of [1] to study the Regge trajectories of the Mellin amplitudes of the 0- and 1-magnon correlators of the generalized Fishnet theory in d dimensions and one type of correlators of chiral fishnet theory in 4 dimensions. We develop a systematic procedure to perturbatively study the Regge trajectories and subsequently perform the spectral integral. Our perturbative method is very generic and in principle can be applied to correlators whose perturbative Regge trajectories obey some structural conditions which we list down. Our d dimensional results reduce to previously known results in d = 4 for 0-magnon and 1-magnon. As a non-trivial check, we show that the results for 1-magnon correlator in d = 8, when evaluated using the exact techniques in [1, 2] are in perfect agreement with our d dimensional perturbative results. We also perturbatively compute the Regge trajectories and Regge-Mellin amplitudes of the chiral fishnet correlator 〈Tr[ϕ1(x1)ϕ1(x2)]Tr[ϕ1†(x3)ϕ1†(x4)]〉 using the techniques developed in this paper. Since this correlator has two couplings κ and ω, we have obtained closed-form results in the limit κ → 0, ω → 0 with κ/ω held constant. We verify this computation with an independent method of computing the same and obtain perfect agreement.

Item Type: Journal Article
Publication: Journal of High Energy Physics
Publisher: Springer Science and Business Media Deutschland GmbH
Additional Information: The copyright for this article belongs to The Authors.
Keywords: AdS-CFT Correspondence; Conformal Field Theory; Integrable Field Theories
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 09 Jan 2023 12:05
Last Modified: 09 Jan 2023 12:05
URI: https://eprints.iisc.ac.in/id/eprint/78963

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