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DTSTART:20250330T010000
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DTSTART;TZID=Europe/Ljubljana:20251218T104500
DTEND;TZID=Europe/Ljubljana:20251218T114500
DTSTAMP:20260422T093318
CREATED:20251211T131351Z
LAST-MODIFIED:20251218T101826Z
UID:81389-1766054700-1766058300@web-f1.ijs.si
SUMMARY:Dominik Haslehner: Running Field-Space Curvature from Quantum Corrections
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.\nhttps://indico.ijs.si/event/3439/
URL:https://web-f1.ijs.si/event/dominik-haslehner/
LOCATION:F1 tea room
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