2025/08/22 by Zwicky, Roman · 3 citations
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat)
paper · doi:10.48550/arxiv.2508.16501
We derive a new model-independent double-soft dilaton theorem, taking into account the spacetime dependence of the dilation commutator [i QD,\cal O(x)]= (Δ\cal O + x ⋅ ∂)\cal O(x). The procedure restores positivity in the (pseudo)-Goldstone masses and sets the constraint Δ\cal O = d-2 for a single operator \cal O responsible for generating a dilaton mass.We discuss gravitational form factors as a tool to probe infrared conformality in field theories with particle content. In a second part we explore to what extent QCD-like gauge theories (in the chiral limit) could fit into this category. We find that the quark bilinear has scaling dimension Δ qq = d-2, therefore satisfying the double-soft theorem. We show that some findings are realised in \cal N=1 supersymmetric gauge theories and argue that the extension below the conformal window makes sense in that case.