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EFT meets Conformal Field Theory

Johan Henriksson · CERN

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About

In EFT, the computation of anomalous dimensions of composite operators in $4-\epsilon$ dimensions is central. Precisely this computation has a completely different application, namely to the $\epsilon$-expansion of conformal field theories (CFTs), where instead of taking $\epsilon\to0$ one is interested in results for 3d theories at $\epsilon=1$. Anomalous dimensions of composite operators correspond to directly observable quantities in these 3d CFTs, and multiloop results can be compared with non-perturbative methods such as MC simulations and the conformal bootstrap. I will explain this new synergy between techniques developed for EFT and applications to CFT, focussing on the use of multiloop anomalous dimensions within the conformal bootstrap.

Based on 2507.12518 and work in progress..

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The talk

  1. EFT meets Conformal Field Theory 2025-12-01 · 30 min · CERN's player

Credits and licence

Institution
CERN
Department
Open meetings
Speaker
Johan Henriksson
Year
2025
Language
English
Source
CERN
Licence
CERN, as CERN states it. CERN's terms
Attribution
© CERN. CERN provides its audiovisual media free of charge for educational and informational use, credited to CERN; this lecture is shown in CERN's own player.
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