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| Auteurs principaux: | , , , |
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| Format: | Preprint |
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2024
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| Accès en ligne: | https://arxiv.org/abs/2407.13589 |
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| _version_ | 1866911960819302400 |
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| author | Jeong, Kie Sang Murgana, Fabrizio Dash, Ashutosh Rischke, Dirk H. |
| author_facet | Jeong, Kie Sang Murgana, Fabrizio Dash, Ashutosh Rischke, Dirk H. |
| contents | A simple effective model for the intermediate-density regime is constructed from the high-density effective theory of quantum chromodynamics (QCD). In the effective model, under a renormalization-group (RG) scaling towards low momenta, the original QCD interactions lead to four-quark contact interactions for the relevant quark and hole modes around the Fermi surface. The contact interaction in the scalar channel can be traced back to zero-sound-type collinear quark scattering near the Fermi surface in an instanton background. The quark and hole states in opposite directions of a given Fermi velocity form the collective scalar bosonic mode $σ$. The magnitude of $σ$ is investigated via the non-perturbative Functional Renormalization Group (FRG) evolution of the effective average action from the ultraviolet (UV) to the infrared (IR). In the mean background-field approximation for $σ$, nontrivial minima ($\barσ \neq 0$) are found in the IR limit of the effective average action. A nonvanishing $\barσ$ corresponds to condensation of quark and hole states in opposite directions of a given Fermi velocity, in a thin shell-like structure in momentum space around the Fermi surface. This looks similar to the shell-like baryon distribution in momentum space assumed in the quarkyonic-matter concept. However, when including a dynamic bosonic $σ$-mode in the RG flow, we find that its diffusive nature destroys the quark-hole condensate, i.e., the IR potential does not show any minima beyond the trivial one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13589 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Functional Renormalization Group analysis of the quark-condensation pattern on the Fermi surface: A simple effective-model approach Jeong, Kie Sang Murgana, Fabrizio Dash, Ashutosh Rischke, Dirk H. Nuclear Theory High Energy Physics - Phenomenology A simple effective model for the intermediate-density regime is constructed from the high-density effective theory of quantum chromodynamics (QCD). In the effective model, under a renormalization-group (RG) scaling towards low momenta, the original QCD interactions lead to four-quark contact interactions for the relevant quark and hole modes around the Fermi surface. The contact interaction in the scalar channel can be traced back to zero-sound-type collinear quark scattering near the Fermi surface in an instanton background. The quark and hole states in opposite directions of a given Fermi velocity form the collective scalar bosonic mode $σ$. The magnitude of $σ$ is investigated via the non-perturbative Functional Renormalization Group (FRG) evolution of the effective average action from the ultraviolet (UV) to the infrared (IR). In the mean background-field approximation for $σ$, nontrivial minima ($\barσ \neq 0$) are found in the IR limit of the effective average action. A nonvanishing $\barσ$ corresponds to condensation of quark and hole states in opposite directions of a given Fermi velocity, in a thin shell-like structure in momentum space around the Fermi surface. This looks similar to the shell-like baryon distribution in momentum space assumed in the quarkyonic-matter concept. However, when including a dynamic bosonic $σ$-mode in the RG flow, we find that its diffusive nature destroys the quark-hole condensate, i.e., the IR potential does not show any minima beyond the trivial one. |
| title | Functional Renormalization Group analysis of the quark-condensation pattern on the Fermi surface: A simple effective-model approach |
| topic | Nuclear Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2407.13589 |