Scaling results for charged sectors of near conformal QCD
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929210861289472 |
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| author | Bersini, Jahmall D'Alise, Alessandra Gambardella, Clelia Sannino, Francesco |
| author_facet | Bersini, Jahmall D'Alise, Alessandra Gambardella, Clelia Sannino, Francesco |
| contents | We provide the leading near conformal corrections on a cylinder to the scaling dimension $Δ_Q^\ast$ of fixed isospin charge $Q$ operators defined at the lower boundary of the Quantum Chromodynamics conformal window: \begin{equation}
Δ_Q = Δ_Q^\ast +\left(\frac{m_σ}{4 πν}\right)^2 \, Q^{\fracΔ{3}} B_1 + \left(\frac{m_π(θ)}{4πν} \right)^4\ Q^{\frac{2}{3}(1-γ)} B_2 + \mathcal{O}\left ( m_σ^4 , m_π^8, m_σ^2 m_π^4\right) \ . \nonumber
\end{equation} The results are expressed in powers of the dilaton and pion masses in units of the chiral symmetry breaking scale $4πν$ with the theta-angle dependence encoded directly in the pion mass. The characteristic $Q$-scaling is dictated by the quark mass operator anomalous dimension $γ$ and the one characterising the dilaton potential $Δ$. The coefficients $B_i$ with $i=1,2$ depend on the geometry of the cylinder and properties of the nearby conformal field theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_08457 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Scaling results for charged sectors of near conformal QCD Bersini, Jahmall D'Alise, Alessandra Gambardella, Clelia Sannino, Francesco High Energy Physics - Theory High Energy Physics - Lattice High Energy Physics - Phenomenology We provide the leading near conformal corrections on a cylinder to the scaling dimension $Δ_Q^\ast$ of fixed isospin charge $Q$ operators defined at the lower boundary of the Quantum Chromodynamics conformal window: \begin{equation} Δ_Q = Δ_Q^\ast +\left(\frac{m_σ}{4 πν}\right)^2 \, Q^{\fracΔ{3}} B_1 + \left(\frac{m_π(θ)}{4πν} \right)^4\ Q^{\frac{2}{3}(1-γ)} B_2 + \mathcal{O}\left ( m_σ^4 , m_π^8, m_σ^2 m_π^4\right) \ . \nonumber \end{equation} The results are expressed in powers of the dilaton and pion masses in units of the chiral symmetry breaking scale $4πν$ with the theta-angle dependence encoded directly in the pion mass. The characteristic $Q$-scaling is dictated by the quark mass operator anomalous dimension $γ$ and the one characterising the dilaton potential $Δ$. The coefficients $B_i$ with $i=1,2$ depend on the geometry of the cylinder and properties of the nearby conformal field theory. |
| title | Scaling results for charged sectors of near conformal QCD |
| topic | High Energy Physics - Theory High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2401.08457 |