Massless S-matrix bootstraps and RG flows

Changrim Ahn

doi:10.1007/JHEP12(2025)103

Massless S-matrix bootstraps and RG flows

Changrim Ahn

Department of Physics

Research output: Contribution to journal › Article › peer-review

Abstract

We find complete solutions of S-matrix bootstrap equations for the scatterings of massless particles in (1+1) dimensions with A_n symmetries. We show that only three types (minimal, diagonal, and saturated cases) of these S-matrices can generate RG flows that lead to UV-complete theories, and other RG flows predicted in [11] are inconsistent with the bootstrap equations. Using these S-matrices, we derived the TBA equations and corresponding Y-systems that generate the RG flows between the IR and UV CFTs.

Original language	English
Article number	103
Journal	Journal of High Energy Physics
Volume	2025
Issue number	12
DOIs	https://doi.org/10.1007/JHEP12(2025)103
State	Published - Dec 2025

Bibliographical note

Publisher Copyright:
© The Author(s) 2025.

Keywords

Integrable Field Theories
Renormalization Group
Scale and Conformal Symmetries

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10.1007/JHEP12(2025)103

Cite this

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abstract = "We find complete solutions of S-matrix bootstrap equations for the scatterings of massless particles in (1+1) dimensions with An symmetries. We show that only three types (minimal, diagonal, and saturated cases) of these S-matrices can generate RG flows that lead to UV-complete theories, and other RG flows predicted in [11] are inconsistent with the bootstrap equations. Using these S-matrices, we derived the TBA equations and corresponding Y-systems that generate the RG flows between the IR and UV CFTs.",

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AB - We find complete solutions of S-matrix bootstrap equations for the scatterings of massless particles in (1+1) dimensions with An symmetries. We show that only three types (minimal, diagonal, and saturated cases) of these S-matrices can generate RG flows that lead to UV-complete theories, and other RG flows predicted in [11] are inconsistent with the bootstrap equations. Using these S-matrices, we derived the TBA equations and corresponding Y-systems that generate the RG flows between the IR and UV CFTs.

KW - Integrable Field Theories

KW - Renormalization Group

KW - Scale and Conformal Symmetries

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JO - Journal of High Energy Physics

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Massless S-matrix bootstraps and RG flows

Abstract

Bibliographical note

Keywords

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