Infrared fixed point in the massless twelve-flavor SU(3) gauge-fermion system
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arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913263884697600 |
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| author | Peterson, Curtis Taylor Hasenfratz, Anna |
| author_facet | Peterson, Curtis Taylor Hasenfratz, Anna |
| contents | We present strong numerical evidence for the existence of an infrared fixed point in the renormalization group flow of the SU(3) gauge-fermion system with twelve massless fermions in the fundamental representation. Our numerical simulations using nHYP-smeared staggered fermions with Pauli-Villars improvement do not exhibit any first-order bulk phase transition in the investigated parameter region. We utilize an infinite volume renormalization scheme based on the gradient flow transformation to determine the renormalization group $β$ function. We identify an infrared fixed point at $g^2_{\mathrm{GF}\star}=6.60(62)$ in the GF scheme and calculate the leading irrelevant critical exponent $γ_{g}^{\star}=0.199(32)$. Our prediction for $γ_{g}^{\star}$ is consistent with available literature at the $1\mbox{-}2σ$ level. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_18038 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Infrared fixed point in the massless twelve-flavor SU(3) gauge-fermion system Peterson, Curtis Taylor Hasenfratz, Anna High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory We present strong numerical evidence for the existence of an infrared fixed point in the renormalization group flow of the SU(3) gauge-fermion system with twelve massless fermions in the fundamental representation. Our numerical simulations using nHYP-smeared staggered fermions with Pauli-Villars improvement do not exhibit any first-order bulk phase transition in the investigated parameter region. We utilize an infinite volume renormalization scheme based on the gradient flow transformation to determine the renormalization group $β$ function. We identify an infrared fixed point at $g^2_{\mathrm{GF}\star}=6.60(62)$ in the GF scheme and calculate the leading irrelevant critical exponent $γ_{g}^{\star}=0.199(32)$. Our prediction for $γ_{g}^{\star}$ is consistent with available literature at the $1\mbox{-}2σ$ level. |
| title | Infrared fixed point in the massless twelve-flavor SU(3) gauge-fermion system |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2402.18038 |