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Towards Bootstrapping RG flows: Sine-Gordon in AdS

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arxiv 2109.13261 v1 pith:AGHR3STK submitted 2021-09-27 hep-th

António Antunes , Miguel S. Costa , João Penedones , Aaditya Salgarkar , Balt C. van Rees This is my paper · ORCID
classification hep-th
keywords theorycorrelationfunctionsbootstrapboundsflowflowsperturbation
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abstract

The boundary correlation functions for a Quantum Field Theory (QFT) in an Anti-de Sitter (AdS) background can stay conformally covariant even if the bulk theory undergoes a renormalization group (RG) flow. Studying such correlation functions with the numerical conformal bootstrap leads to non-perturbative constraints that must hold along the entire flow. In this paper we carry out this analysis for the sine-Gordon RG flows in AdS$_2$, which start with a free (compact) scalar in the UV and end with well-known massive integrable theories that saturate many S-matrix bootstrap bounds. We numerically analyze the correlation functions of both breathers and kinks and provide a detailed comparison with perturbation theory near the UV fixed point. Our bounds are often saturated to one or two orders in perturbation theory, as well as in the flat-space limit, but not necessarily in between.

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Cited by 3 Pith papers

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  1. QFT as a set of ODEs: higher dimensions

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    The authors generalize the AdS₂ flow equations for QFT data to AdS₃ and AdS₄, add crossing-based closure and Padé-accelerated sums, and verify them in free theories.

  2. Neumann scalars in AdS: partition functions and phases

    hep-th 2026-07 conditional novelty 6.0 of 10

    Neumann scalars in AdS admit one-loop partition functions obtained by contour deformation from the Dirichlet result; the stricter unitarity bound then yields qualitatively different phase diagrams that are corroborate...

  3. Li\'enard--Wiechert fields in AdS and flat-space antipodal matching from geodesic-centered Coulombic data

    hep-th 2026-07 conditional novelty 5.5 of 10

    The Coulombic Liénard–Wiechert field in AdS and flat space is obtained by recentering the static Coulomb seed on the source geodesic, and antipodal matching emerges as the flat-space limit of an exact bulk antipodal c...

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