Topological susceptibility and axion potential in two-flavor superconductive quark matter
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arXiv
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2024
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| author | Murgana, Fabrizio Castillo, David E. Alvarez Grunfeld, Ana G. Ruggieri, Marco |
| author_facet | Murgana, Fabrizio Castillo, David E. Alvarez Grunfeld, Ana G. Ruggieri, Marco |
| contents | We study the potential of the axion, $a$, of Quantum Chromodynamics, in the two-flavor color superconducting phase of cold and dense quark matter. We adopt a Nambu-Jona-Lasinio-like model. Our interaction contains two terms, one preserving and one breaking the $U(1)_A$ symmetry: the latter is responsible of the coupling of axions to quarks. We introduce two quark condensates, $h_L$ and $h_R$, describing condensation for left-handed and right-handed quarks respectively; we then study the loci of the minima of the thermodynamic potential, $Ω$, in the $(h_L,h_R)$ plane, noticing how the instanton-induced interaction favors condensation in the scalar channel when the $θ-$angle, $θ=a/f_a$, vanishes. Increasing $θ$ we find a phase transition where the scalar condensate rotates into a pseudo-scalar one. We present an analytical result for the topological susceptibility, $χ$, in the superconductive phase, which stands both at zero and at finite temperature. Finally, we compute the axion mass and its self-coupling. In particular, the axion mass $m_a$ is related to the full topological susceptibility via $χ=m_a^2 f_a^2$, hence our result for $χ$ gives an analytical result for $m_a$ in the superconductive phase of high-density Quantum Chromodynamics. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_14160 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Topological susceptibility and axion potential in two-flavor superconductive quark matter Murgana, Fabrizio Castillo, David E. Alvarez Grunfeld, Ana G. Ruggieri, Marco High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory We study the potential of the axion, $a$, of Quantum Chromodynamics, in the two-flavor color superconducting phase of cold and dense quark matter. We adopt a Nambu-Jona-Lasinio-like model. Our interaction contains two terms, one preserving and one breaking the $U(1)_A$ symmetry: the latter is responsible of the coupling of axions to quarks. We introduce two quark condensates, $h_L$ and $h_R$, describing condensation for left-handed and right-handed quarks respectively; we then study the loci of the minima of the thermodynamic potential, $Ω$, in the $(h_L,h_R)$ plane, noticing how the instanton-induced interaction favors condensation in the scalar channel when the $θ-$angle, $θ=a/f_a$, vanishes. Increasing $θ$ we find a phase transition where the scalar condensate rotates into a pseudo-scalar one. We present an analytical result for the topological susceptibility, $χ$, in the superconductive phase, which stands both at zero and at finite temperature. Finally, we compute the axion mass and its self-coupling. In particular, the axion mass $m_a$ is related to the full topological susceptibility via $χ=m_a^2 f_a^2$, hence our result for $χ$ gives an analytical result for $m_a$ in the superconductive phase of high-density Quantum Chromodynamics. |
| title | Topological susceptibility and axion potential in two-flavor superconductive quark matter |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory |
| url | https://arxiv.org/abs/2404.14160 |