Title: Towards a Field Redefinition Invariant Description of Effective Field Theories

Abstract: Physical observables are invariant under field redefinitions, motivating a geometric formulation of Effective Field Theories. I will first review the scalar field-space geometry, where scalar fields are treated as coordinates on a Riemannian manifold, and show how this perspective simplifies calculations involving higher-dimensional operators, particularly in the context of the Renormalization Group Equations. I will then discuss extensions of this description to fields of all spin types, focusing on fermions, and highlight the challenges associated with incorporating vector bosons. Finally, I will conclude by summarizing ongoing research directions toward a generic geometric framework applicable to any EFT.


https://lbnl.zoom.us/j/94928022788?pwd=emVQWG1mTnhSbHVqekVuenk0VEVQZz09