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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2508.16501 |
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| _version_ | 1866918129091739648 |
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| author | Zwicky, Roman |
| author_facet | Zwicky, Roman |
| contents | We derive a new model-independent double-soft dilaton theorem, taking into account the spacetime dependence of the dilation commutator $[i Q_D,{\cal O}(x)]= (Δ_{\cal O} + x \cdot \partial){\cal O}(x)$. 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 $Δ_{\bar qq} = d-2$, 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_16501 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Soft Theorems and Dilaton Effective Theory Zwicky, Roman High Energy Physics - Lattice We derive a new model-independent double-soft dilaton theorem, taking into account the spacetime dependence of the dilation commutator $[i Q_D,{\cal O}(x)]= (Δ_{\cal O} + x \cdot \partial){\cal O}(x)$. 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 $Δ_{\bar qq} = d-2$, 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. |
| title | Soft Theorems and Dilaton Effective Theory |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2508.16501 |