18–23 Aug 2025
University of California at Santa Cruz
US/Pacific timezone

Renormalising the Field Space Geometry

Not scheduled
20m
University of California at Santa Cruz

University of California at Santa Cruz

Non-SUSY extensions of the Standard Model Non-SUSY extensions of the Standard Model

Speaker

Dominik Haslehner (Max Planck Institute for Physics & Technical University of Munich)

Description

We present a systematic study of one-loop quantum corrections in scalar effective field theories from a geometric viewpoint, emphasizing the role of field-space curvature and its renormalisation. By treating the scalar fields as coordinates on a Riemannian manifold, we exploit field redefinition invariance to maintain manifest coordinate independence of physical observables. Focusing on the non-linear sigma model (NLSM) and (\phi^4) theory, we demonstrate how loop corrections induce momentum- and scale-dependent shifts in the curvature of the field-space manifold. These corrections can be elegantly captured through the recently proposed geometry-kinematics duality, which generalizes the colour-kinematics duality in gauge theories to curved field-space backgrounds. Our results highlight a universal structure emerging in the contractions of Riemann tensors that contribute to renormalisation of the field-space curvature. In particular, we find explicit expressions and a universal structure for the running curvature and Ricci scalar in simple models, illustrating how quantum effects reshape the underlying geometry. This geometric formulation unifies a broad class of scalar EFTs, providing insight into the interplay of curvature, scattering amplitudes, and renormalisation.

Authors

Prof. Andreas Weiler (Technical University of Munich) Dominik Haslehner (Max Planck Institute for Physics & Technical University of Munich) Dr Emanuele Gendy (Technical University of Munich) Dr Luigi Bellafronte (Florida State University) Mr Patrick Aigner (Technical University of Munich)

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